(a) Interpretation: The number of significant digits in the answer should be determined by evaluating the given expression. ( 149.2 + 0.034 + 2000.34 ) . Concept Introduction: During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy. Decimal place is the position of digit right to the decimal point. In division and multiplication, the calculated values are always rounded up to minimum number of significant figures. Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations. Rules for rounding off numbers are as follows: If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up. If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Question

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Answer 1

Question

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

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Students have asked these similar questions

Question 1: Determine whether the answer to each calculation has the correct number of significant figures. If not, correct it: 1A) 89.763 + 22.4581 = 3.997 1B) 4.32x1012 ÷ 3.1x104 = 1.4x1016 Question 2: Perform this calculation to the correct number of significant figures 9443 + 45 – 9.9 x 8.1x106 Question 3: Perform the following conversions: 3A) 78.3 cm to inches 3B) 22.5 lbs. to micrograms 3C) 396 in to L 4A) A new penny has a mass of 2.49g and a volume of 0.349cm³. Is the penny pure copper?

How many significant figures should be retained in the result of the following calculation?12.00000 × 0.9893 + 13.00335 × 0.0107

Perform the calculations below and give the results with correct significant figures. 27.8 g + 5.461 g − 3.89 g = 2.13 in × 0.96 in × 4.508 in = (1.751 × 42.2) − (8.02 × 103 ÷ 764) = g in3

Answer 2

Question

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution & Answer

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See solution

Answer 3

Question

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 6

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 7

Chapter 2, Problem 138AP

Interpretation Introduction

(a)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(149.2+0.034+2000.34).

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

(1.0322×103+4.34×103)

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 10

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 11

Interpretation Introduction

(c)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

4.03×10−2−2.044×10−3

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 12

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 13

Interpretation Introduction

(d)

Interpretation:

The number of significant digits in the answer should be determined by evaluating the given expression.

2.094×105−1.073×106

Concept Introduction:

During addition or subtraction, the final answer should be rounded off for minimum number of digits after the decimal for more accuracy.

Decimal place is the position of digit right to the decimal point.

In division and multiplication, the calculated values are always rounded up to minimum number of significant figures.

Initially the calculation is carry out without considering the significant figures, the rounding off is done after the completion of all the calculations.

Rules for rounding off numbers are as follows:

If the number to be rounded off is followed by digit 5 or greater than 5, the number will be rounded up.

If the number to be rounded off is followed by digit zero or less than 5, the number will be rounded down.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - Exercise 2.1 Write the numbers 357 and 0.0055 in...Ch. 2.2 - What if you were not allowed to use units for one...Ch. 2.5 - Exercise 2.2 Give the number of significant...Ch. 2.5 - Exercise 2.3 Give the answer for each calculation...Ch. 2.6 - Exercise 2.4 Wine is often bottled in 0.750-L...Ch. 2.6 - Exercise 2.5 Racing cars at the Indianapolis Motor...Ch. 2.7 - Exercise 2.6 Which temperature is colder, 172 K or...Ch. 2.7 - Exercise 2.7 Hot tubs are often maintained at 41...Ch. 2.7 - Exercise 2.8 An antifreeze solution in a car’s...Ch. 2.8 - Exercise 2.9A student wants to identify the main...

Solution Summary: The author explains that the number of significant digits in the answer should be determined by evaluating the given expression.

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