# Math in Focus Grade 5 Chapter 2 Practice 3 Answer Key Multiplying by Powers of Ten

Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 2 Practice 3 Multiplying by Powers of Ten to finish your assignments.

## Math in Focus Grade 5 Chapter 2 Practice 3 Answer Key Multiplying by Powers of Ten

Example
36 × 102 = 36 × (10 × 10)
= 36 × 100
= 3,600

Question 1.
17 × 102 = 17 × (_10__ × _10__)
= 17 × _100__
= __1,700___
1,700,

Explanation:
Given to find 17 X 102 so multiplying powers of 10 as
17 X 10 X 10 we get 17 X 100 = 1,700.

Question 2.
98 × 102 = 98 × (_10__ × _10__)
= 98 × _100_
= __9,800___
9,800,

Explanation:
Given to find 98 X 102 so multiplying powers of 10 as
98 X 10 X 10 we get 98 X 100 = 9,800.

Question 3.
432 × 102 = 432 × (_10__ × _10__)
= 432 × _100__
= __43,200___
43,200,

Explanation:
Given to find 432 X 102 so multiplying powers of 10 as
432 X 10 X 10 we get 432 X 100 = 43,200.

Multiply.

Question 4.
625 × 102 = _625__X (10 X 10) = 62,500
62,500,

Explanation:
Given to find 625 X 102 so multiplying powers of 10 as 2 times 10 we get
625 X 10 X 10 = 625 X 100 = 62,500.

Question 5.
1,000 × 102 = __1,00,000_
1,00,000,

Explanation:
Given to find 1,000 X 102 so multiplying powers of 10 as 2 times 10 we get
1,000 X 10 X 10 = 1,000 X 100 = 1,00,000.

Question 6.
5,118 × 102 = _5,11,800__
5,11,800,

Explanation:
Given to find 5,118 X 102 so multiplying powers of 10 as 2 times 10 we get
5,118 X 10 X 10 = 5,118 X 100 = 5,11,800.

Question 7.
Tyler multiplied 3,406 × 102 in the following way:
3,406 × 102 = 3,406 × 10 × 2
= 34,060 × 2
= 68,120
Is Tyler’s method correct? If not, explain the error and show the correct way to
evaluate the numerical expression. Multiply.
Wrong, Correct evaluation is 3,40,600,

Explanation:
Given Tyler multiplied 3,406 × 102 in the following way:
3,406 × 102,
= 3,406 × 10 × 2,
= 34,060 × 2,
= 68,120, Tyler’s method is incorrect the error is that instead of multiplying powers of
10 as 2 times 10 by using numerical expression 10 X 10,
Tyler multiplyed 10 with 2.
So by evaluating we get  3,406 X 102 = 3,406 X 10 X 10,
= 3,406 X 100 =3,40,600.

Multiply.

Example
62 × 103 = 62 × (10 × 10 × 10)
= 62 × 1000
= 62,000

Question 8.
53 × 103 = 53 × ( _10_ × _10__ × _10_)
= 53 × _1,000__
= _53,000__
53,000,

Explanation:
Given to find 53 X 103 so multiplying powers of 10 as 3 times 10 ,
we get 53 X 10 X 10 X 10 = 53,000,

Question 9.
74 × 103 = 74 × (_10_ × _10_ × _10_)
= 74 × _1,000__
= _74,000__
74,000,

Explanation:
Given to find 74 X 103 so multiplying powers of 10 as 3 times 10,
we get 74 X 10 X 10 X 10 = 74,000.

Question 10.
318 × 103 = 318 × (_10_ × _10_ × _10__)
= 318 × _1,000__
= __3,18,000_
3,18,000,

Explanation:
Given to find 318 X 103 so multiplying powers of 10 as 3 times 10,
we get 318 X 10 X 10 X 10 = 3,18,000.

Multiply.

Question 11.
907 × 103 = __907_ X ( 10 X 10 X 10) = 9,07,000
9,07,000,

Explanation:
Given to find 907 X 103 so multiplying powers of 10 as 3 times 10,
we get 907 X 10 X 10 X 10 = 3,18,000.

Question 12.
4,125 × 103 = _4,125__ X 10 X 10 X 10 = 41,25,000
41,25,000,

Question 13.
2,000 × 103 = _2,000__ X 10 X 10 X 10 = 20,00,000
20,00,000,

Explanation:
Given to find 2,000 X 103 so multiplying powers of 10 as 3 times 10,
we get 2,000 X 10 X 10 X 10 = 20,00,000.

Complete with 10,102, or 103.

Question 14.
To change from kilograms to grams, multiply by _0.001__
0.001,

Explanation:
Changing from kilograms to grams as 1 gram is equal to 1000 kilograms,
we divide kilogram by gram which is equal to 1 ÷ 103 = 1 ÷ 1,000 = 1 ÷  0.001.

Math Journal

Jodi estimated these products.

a. 2,892 × 21 rounds to 3,000 × 20 = 60,000
60,000,

Explanation:
Given to multiply 2,892 by 21 so rounding 2,892 to
3,000 and 21 to 20 we get 3,000 X 20 = 60,000.

b. 2,743 × 18 rounds to 3,000 × 20 = 60,000
60,000,

Explanation:
Given to multiply 2,743 by 18 so rounding 2,892 to
3,000 and 21 to 20 we get 3,000 X 20 = 60,000.

She then worked out the actual answers. Even though the estimated answers were the same,
Jodi found that the actual answers were very different from each other.

Question 1.
In which case is the estimate closer to the actual answer? Explain why.
In the estimate a Jodi is closer to the actual answer,

Explanation:
In the estimation a Jodi is closer to the actual answer,
why because while working out with the answers even though
the estimated answers were the same Jodi found that the actual answers
are differing why because while rounding the estimates the closer value
is method (a) as 2,892 has greater value than 2,743.

Question 2.