To multiply a decimal by 10, we shift the decimal point one space to the right.

To demonstrate, let's find the value of

0.31 \times 10.

First, we write down our number. We can attach as many trailing zeros as we want to the decimal part.

Now, we count the zeros in 10. Since 10 contains 1 zero, we move the decimal point 1 place to the right:

This gives the following diagram:

We ignore the leading zeros in the whole number part and trailing zeros in the decimal part. This gives the following number:

3.1

Therefore:

0.31 \times 10 = 3.1

FLAG

What is 40.7 \times 10 ?

EXPLANATION

First, we write down our number. We can attach as many trailing zeros as we want to the decimal part.

Now, we count the zeros in 10. Since 10 contains 1 zero, we move the decimal point 1 place to the right:

This gives the following diagram:

We ignore the leading zeros in the whole number part and trailing zeros in the decimal part. This gives the following number:

407.0 = 407

Therefore:

40.7 \times 10 =407

FLAG

$0.9 \times 10 =$

a
$0.09$
b
$9$
c
$900$
d
$90$
e
$0.009$

$0.53 \times 10=$

a
$0.503$
b
$0.053$
c
$0.53$
d
$5.3$
e
$53$

Expressed as a decimal in its simplest form, $0.276 \times 10=$

a
b
c
d
e

To multiply decimals by larger powers of ten, we shift the decimal point n spaces to the right, where n is the number of zeros in the power of ten.

To illustrate, let's compute the value of

5.723 \times 100.

First, we write down our number. We can attach as many trailing zeros as we want to the decimal part.

Now, we count the zeros in 100. Since 100 contains 2 zeros, we move the decimal point 2 places to the right:

This gives the following diagram:

We ignore the leading zeros in the whole number part and trailing zeros in the decimal part. This gives the following number:

572.3

Therefore:

5.723 \times 100 = 572.3

FLAG

Find the value of 69.184 \times 1,000.

EXPLANATION

First, we write down our number. We can attach as many trailing zeros as we want to the decimal part.

Now, we count the zeros in 1,000. Since 1,000 contains 3 zeros, we move the decimal point 3 places to the right:

This gives the following diagram:

We ignore the leading zeros in the whole number part and trailing zeros in the decimal part. This gives the following number:

69,184.0 =69,184

Therefore:

69.184 \times 1,000 = 69,184

FLAG

$0.102\times 100 =$

a
$1020$
b
$0.1020$
c
$102$
d
$10.2$
e
$1.02$

Express the following product as a whole number.

a
b
c
d
e

What is the value of 65.61 \times 1,000?

EXPLANATION

First, we write down our number. We can attach as many trailing zeros as we want to the decimal part.

Now, we count the zeros in 1,000. Since 1,000 contains 3 zeros, we move the decimal point 3 places to the right:

This gives the following diagram:

We ignore the leading zeros in the whole number part and trailing zeros in the decimal part. This gives the following number:

65,610.0 = 65,610

Therefore:

65.61 \times 1,000 = 65,610

FLAG

Express the following product as a whole number.

a
b
c
d
e

Express the following product as a whole number.

a
b
c
d
e

Find the value of 70.04 \times 100,000.

EXPLANATION

First, we write down our number. We can attach as many trailing zeros as we want to the decimal part.

Now, we count the zeros in 100,000. Since 100,000 contains 5 zeros, we move the decimal point 5 places to the right:

This gives the following diagram:

We ignore the leading zeros in the whole number part and trailing zeros in the decimal part. This gives the following number:

7,004,000.0 = 7,004,000

Therefore:

70.04 \times 100,000 = 7,004,000

FLAG

Express the following product as a whole number.

a
b
c
d
e

Express the following product as a whole number.

a
b
c
d
e
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