(a)
Compute the given signed number
Answer to Problem 30A
Value of the given number is, -32
Explanation of Solution
Given:
Calculation:
Here digit (-2) is indicated as power of 5 i.e. fifth power of (-2)
Now count the number of negative signs in the given number:
1. If the sum is a even number then the product is positive.
2. if the sum is a odd number then the product is negative.
In this given number, the sum of negative signs is 5 which is an odd number. Therefore the product will be a negative number.
Hence the value of the given number is, -32
(b)
Compute the given signed number
Answer to Problem 30A
Value of the given number is, 36
Explanation of Solution
Given:
Calculation:
Here digit (-6) is indicated as power of 2 i.e. square of (-6)
Now count the number of negative signs in the given number, if the sum is a even number then the product is positive and if the sum is a odd number then the product is negative.
In this given number, the sum of negative signs is 2 which is a even number. Therefore the product will be a positive number.
Hence the value of the given number is, 36
(c)
Compute the given signed number
Answer to Problem 30A
Value of the given number is, -125
Explanation of Solution
Given:
Calculation:
Here digit (-5) is indicated as power of 3 i.e. cubic power of (-5)
Now count the number of negative signs in the given number:
1. If the sum is a even number then the product is positive.
2. if the sum is a odd number then the product is negative.
In this given number, the sum of negative signs is 3 which is a odd number. Therefore the product will be a negative number.
Hence the value of the given number is, -125
(d)
Compute the given signed number
Answer to Problem 30A
Value of the given number is, 64
Explanation of Solution
Given:
Calculation:
Here digit (-2) is indicated as power of 6 i.e. sixth power of (-2)
Now count the number of negative signs in the given number:
1. If the sum is a even number then the product is positive.
2. if the sum is a odd number then the product is negative.
In this given number, the sum of negative signs is 6 which is a even number. Therefore the product will be a positive number.
Hence the value of the given number is, 64
(e)
Compute the given signed number
Answer to Problem 30A
Value of the given number is, 2.56
Explanation of Solution
Given:
Calculation:
Here digit (-1.6) is indicated as power of 2 i.e. square of (-1.6)
Now count the number of negative signs in the given number, if the sum is a even number then the product is positive and if the sum is a odd number then the product is negative.
In this given number, the sum of negative signs is 2 which is a even number. Therefore the product will be a positive number.
Hence the value of the given number is, 2.56
Want to see more full solutions like this?
Chapter 40 Solutions
Mathematics For Machine Technology
- In Exercises 17 through 20, subtract the following signed numbers as indicated. 18. a. -40 - (-40) b. -40 - (+40) c. 0 - (-12) d. -52 - (-8) e. 16.5 - (+14.3)arrow_forwardIn Exercises 25 through 28, divide the following signed numbers as indicated. 28. a. 29.065.35 b. 4.125(0.75) c. 41.877.9 d. 20.470.537 e. 44.876(7.836)arrow_forwardIn Exercises 29 through 32, raise the following signed numbers to the indicated powers. 31. a.(0.4)3 b. 0.936 c. (1.58)2 d. 0.733arrow_forward
- In Exercises 29 through 32, raise the following signed numbers to the indicated powers. 29. a. (2)2 b. 23 c. (2)3 d. (4)3 e. (2)4arrow_forwardIn Exercises 19 to 24, classify each statement as true or false. If a number is divisible by 6, then it is divisible by 3.arrow_forwardFind the reciprocal of each of the fractions in Exercises 7 through 12. 10. 6arrow_forward
- Solve the following. 53. In Figure 108, what common fractional part of distance B is distance A? All dimensions are in inches.arrow_forwardIn Exercises 7 through 12, express each of the following lengths as indicated. 7. a. 96 inches as feet__________________ b. 123 inches as feet __________________ c. 312 feet as inches__________________ d. 0.4 yard as inches__________________arrow_forwardConsider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning