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.

10^{1} = 1__0__ = 1__0__

10^{2} = 1__0__ × 1__0__ = 1__00__

10^{3} = 1__0__ × 1__0__ × 1__0__ = 1,__000__

10^{4} = 1__0__ × 1__0__ × 1__0__ × 1__0__ = 1__0,000__

**Convert the values below to a power of ten.**

Question 1.

a. 100,000

_________

Answer:

10^{5}

Explanation:

To express a given number as a power of 10,

write it as 10^{n} where ‘n’ is the number of zeros after 1 in the given number.

Therefore, the given number 100,000 is written as 10^{5}

b. 1,000,000

_________

Answer:

10^{6}

Explanation:

To express a given number as a power of 10,

write it as 10^{n} where ‘n’ is the number of zeros after 1 in the given number.

Therefore, the given number 1,000,000 is written as 10^{6}

c. 10

_________

Answer:

10^{1}

Explanation:

To express a given number as a power of 10,

write it as 10^{n} where ‘n’ is the number of zeros after 1 in the given number.

Therefore, the given number 10 is written as 10^{1}

Question 2.

a. 10,000,000

_________

Answer:

10^{7}

Explanation:

To express a given number as a power of 10,

write it as 10^{n} where ‘n’ is the number of zeros after 1 in the given number.

Therefore, the given number 10,000,000 is written as 10^{7}

b. 100

_________

Answer:

10^{2}

Explanation:

To express a given number as a power of 10,

write it as 10^{n} where ‘n’ is the number of zeros after 1 in the given number.

Therefore, the given number 100 is written as 10^{2}

c. 1,000,000,000

_________

Answer:

10^{9}

Explanation:

To express a given number as a power of 10,

write it as 10^{n} where ‘n’ is the number of zeros after 1 in the given number.

Therefore, the given number 1,000,000,000 is written as 10^{9}

**Convert these powers of ten to standard numbers.**

Question 3.

a. 10^{7}

_________

Answer:

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.

10^{7} = 1__0__ × 1__0__ × 1__0__ × 1__0__ x 1__0__ x 1__0__ x 1__0 __= 1__0__,__000,000__

So, 10^{7 }is written as 10,000,000.

b. 10^{5}

_________

Answer:

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.

10^{5} = 1__0__ × 1__0__ × 1__0__ × 1__0__ x 1__0__ = 1__00,000__

So, 10^{5 }is written as 1,00,000.

c. 10^{3}

_________

Answer:

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.

10^{3} = 1__0__ × 1__0__ × 1__0__ = 1,__000__

So, 10^{3 }is written as 1,000.

Question 4.

a. 10^{8}

_________

Answer:

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.

10^{8} = 1__0__ × 1__0__ × 1__0__ × 1__0__ x 1__0__ x 1__0__ x 1__0__ x 1__0__ = 1__00__,__000,000__

So, 10^{8 }is written as 100,000,000.

b. 10^{12}

_________

Answer:

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.

10^{12} = 1__0__ × 1__0__ × 1__0__ × 1__0__ x 1__0__ x 1__0__ x 1__0__ × 1__0__ × 1__0__ × 1__0__ x 1__0__ x 1__0 __= 1,__000,000,000,000__

So, 10^{12 }is written as 1000,000,000,000.

c. 10^{6}

_________

Answer:

1,000,000

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.

10^{6} = 1__0__ × 1__0__ × 1__0__ × 1__0__ x 1__0__ x 1__0__ = 1,__000,000
__So, 10

^{6 }is written as 1,000,000.