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In this activity, we will be multiplying numbers by 10 or 100.
To multiply a whole number by 10: move each digit one place to the left, then fill any empty places with zero.
43 × 10 = 430
654 × 10 = 6,540
70 × 10 = 700
To multiply a whole number by 100: move each digit two places to the left, then fill any empty places with zero.
43 × 100 = 4,300
60 × 100 = 6,000
542 × 100 = 54,200
Let's try some examples together.
Example 1
Multiply 65 by 10.
Answer
To multiply by 10, each digit moves one place to the left.
In 65, we have 6 tens and 5 ones.
The 6 tens become worth 6 hundreds.
The 5 ones become worth 5 tens.
We fill the ones place with zero as a placeholder.
65 × 10 = 650
Example 2
Multiply 24 by 100.
Answer
To multiply by 100, each digit moves two places to the left.
In 24, we have 2 tens and 4 ones.
The 2 tens become worth 2 thousands.
The 4 ones become worth 4 hundreds.
We fill the ones and tens places with zeros as placeholders.
24 × 100 = 2,400
Now that you know how to multiply by 10 and 100, you are ready to try the next ten questions.
