Essential Question When would you use powers of 10 to estimate a quantity? 1.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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KEY CONCEPT
CONC
You can estimate a very large or very small number by rounding the humber
o ts greatest place value, and then writing that number as a single digit
times a power of 10.
Very Small Numbers
Very Large Numbers
Use the place value
of the non-zero
0.000000235
0.0000002
3,564,879,000 - 4,000,000,000
digit to determine
the power of 10.
= 2 x 10-7
-4 x 109
The number is less than 1, so
the exponent is negative.
The number is greater than 1,
so the exponent is positive.
Do You Know How?
Do You Understand?
1. ? Essential Question When would you use
powers of 10 to estimate a quantity?
4. Use a single digit
times a power of
10 to estimate
the height of
Mt. Everest toi
the nearest ten
thousand feet.
Mt. Everest is
c00.000
000 000,000 Ss.2ot
29,035 feet tall.
2. Construct Arguments Kim writes an estimate
for the number 0.00436 as 4 x 103. Explain why
this cannot be correct. © MP.3
5. A scientist records the mass of a proton as
0.0000000000000000000000016726231 gram.
Use a single digit times a power of 10 to
estimate the mass.
3. Be Precise Raquel estimated 304,900,000,000 as
3 x 108. What error did she make? © MP.6
6. The tanks at the Georgia Aquarium hold
approximately 8.4 x 106 gallons of water. The
tanks at the Audubon Aquariium of the Americae
times greater the amount of water is at the
Georgia Aquarium.
Transcribed Image Text:KEY CONCEPT CONC You can estimate a very large or very small number by rounding the humber o ts greatest place value, and then writing that number as a single digit times a power of 10. Very Small Numbers Very Large Numbers Use the place value of the non-zero 0.000000235 0.0000002 3,564,879,000 - 4,000,000,000 digit to determine the power of 10. = 2 x 10-7 -4 x 109 The number is less than 1, so the exponent is negative. The number is greater than 1, so the exponent is positive. Do You Know How? Do You Understand? 1. ? Essential Question When would you use powers of 10 to estimate a quantity? 4. Use a single digit times a power of 10 to estimate the height of Mt. Everest toi the nearest ten thousand feet. Mt. Everest is c00.000 000 000,000 Ss.2ot 29,035 feet tall. 2. Construct Arguments Kim writes an estimate for the number 0.00436 as 4 x 103. Explain why this cannot be correct. © MP.3 5. A scientist records the mass of a proton as 0.0000000000000000000000016726231 gram. Use a single digit times a power of 10 to estimate the mass. 3. Be Precise Raquel estimated 304,900,000,000 as 3 x 108. What error did she make? © MP.6 6. The tanks at the Georgia Aquarium hold approximately 8.4 x 106 gallons of water. The tanks at the Audubon Aquariium of the Americae times greater the amount of water is at the Georgia Aquarium.
Expert Solution
Step 1

“Since you have asked multiple question, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post
only that question.”

1)

We use Powers of 10 to reduce the size of large numbers.

Consider an example:

2×10000000 is a number and we will face difficulty to work with it.

 

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