To solve these problems, we use a simple rule for multiplying decimals by 10, 100, and 1000:
*
Multiply by 10: Move the decimal point
1 place to the right.
*
Multiply by 100: Move the decimal point
2 places to the right.
*
Multiply by 1000: Move the decimal point
3 places to the right.
If you run out of digits while moving the decimal point, add zeros to fill the empty spaces.
Here is the step-by-step solution for each problem:
1.
$6.14 \times 10$: Move the decimal 1 spot right $\rightarrow$
61.4
2.
$0.480 \times 100$: Move the decimal 2 spots right $\rightarrow$
48 (or 48.0)
3.
$0.087 \times 1000$: Move the decimal 3 spots right $\rightarrow$
87
4.
$0.087 \times 10$: Move the decimal 1 spot right $\rightarrow$
0.87
5.
$0.181 \times 10$: Move the decimal 1 spot right $\rightarrow$
1.81
6.
$4.8 \times 100$: Move the decimal 2 spots right (add a zero) $\rightarrow$
480
7.
$84.8 \times 100$: Move the decimal 2 spots right (add a zero) $\rightarrow$
8480
8.
$0.9 \times 10$: Move the decimal 1 spot right $\rightarrow$
9
9.
$0.330 \times 1000$: Move the decimal 3 spots right $\rightarrow$
330
10.
$0.128 \times 100$: Move the decimal 2 spots right $\rightarrow$
12.8
11.
$0.181 \times 10$: Move the decimal 1 spot right $\rightarrow$
1.81
12.
$0.687 \times 1000$: Move the decimal 3 spots right $\rightarrow$
687
13.
$1.18 \times 100$: Move the decimal 2 spots right $\rightarrow$
118
14.
$5.10 \times 100$: Move the decimal 2 spots right $\rightarrow$
510
15.
$0.02 \times 100$: Move the decimal 2 spots right $\rightarrow$
2
16.
$1.88 \times 1000$: Move the decimal 3 spots right (add a zero) $\rightarrow$
1880
Final Answer:
1) 61.4
2) 48
3) 87
4) 0.87
5) 1.81
6) 480
7) 8480
8) 9
9) 330
10) 12.8
11) 1.81
12) 687
13) 118
14) 510
15) 2
16) 1880
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet grade 5 100 problems.
