Spectrum Math Grade 5 Chapter 2 Lesson 3 Answer Key Powers of Ten

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 2 Lesson 2.3 Powers of Ten regularly and improve your accuracy in solving questions.

Spectrum Math Grade 5 Chapter 2 Lesson 2.3 Powers of Ten Answers Key

An exponent is a number that shows how many times a base number is to be used in multiplication. A power of ten is an exponent where the base number is always 10.
101 = 10 = 10
102 = 10 × 10 = 100
103 = 10 × 10 × 10 = 1,000
104 = 10 × 10 × 10 × 10 = 10,000

Convert the values below to a power of ten.

Question 1.
a. 100,000
_________
105

Explanation:
To express a given number as a power of 10,
write it as 10n where ‘n’ is the number of zeros after 1 in the given number.
Therefore, the given number 100,000 is written as 105

b. 1,000,000
_________
106

Explanation:
To express a given number as a power of 10,
write it as 10n where ‘n’ is the number of zeros after 1 in the given number.
Therefore, the given number 1,000,000 is written as 106

c. 10
_________
101

Explanation:
To express a given number as a power of 10,
write it as 10n where ‘n’ is the number of zeros after 1 in the given number.
Therefore, the given number 10 is written as 101

Question 2.
a. 10,000,000
_________
107

Explanation:
To express a given number as a power of 10,
write it as 10n where ‘n’ is the number of zeros after 1 in the given number.
Therefore, the given number 10,000,000 is written as 107

b. 100
_________
102

Explanation:
To express a given number as a power of 10,
write it as 10n where ‘n’ is the number of zeros after 1 in the given number.
Therefore, the given number 100 is written as 102

c. 1,000,000,000
_________
109

Explanation:
To express a given number as a power of 10,
write it as 10n where ‘n’ is the number of zeros after 1 in the given number.
Therefore, the given number 1,000,000,000 is written as 109

Convert these powers of ten to standard numbers.

Question 3.
a. 107
_________
10,000,000

Explanation:
An exponent is a number that shows how many times a base number is to be used in multiplication.
A power of ten is an exponent where the base number is always 10.
107 = 10 × 10 × 10 × 10 x 10  x 10 x 10 = 10,000,000
So, 107 is written as 10,000,000.

b. 105
_________
100,000

Explanation:
An exponent is a number that shows how many times a base number is to be used in multiplication.
A power of ten is an exponent where the base number is always 10.
105 = 10 × 10 × 10 × 10 x 10 = 100,000
So, 105 is written as 1,00,000.

c. 103
_________
1,000

Explanation:
An exponent is a number that shows how many times a base number is to be used in multiplication.
A power of ten is an exponent where the base number is always 10.
103 = 10 × 10 × 10 = 1,000
So, 103 is written as 1,000.

Question 4.
a. 108
_________
100,000,000

Explanation:
An exponent is a number that shows how many times a base number is to be used in multiplication.
A power of ten is an exponent where the base number is always 10.
108 = 10 × 10 × 10 × 10 x 10  x 10 x 10  x 10 = 100,000,000
So, 108 is written as 100,000,000.

b. 1012
_________
1,000,000,000,000

Explanation:
An exponent is a number that shows how many times a base number is to be used in multiplication.
A power of ten is an exponent where the base number is always 10.
1012 = 10 × 10 × 10 × 10 x 10  x 10 x 10 × 10 × 10 × 10 x 10  x 10 = 1,000,000,000,000
So, 1012 is written as 1000,000,000,000.

c. 106
_________