Here are the solutions for the decimal multiplication problems. I have calculated each product step-by-step to ensure accuracy.
1) $7.4 \times 2.3$
* Multiply $74 \times 23 = 1702$.
* There is 1 decimal place in $7.4$ and 1 in $2.3$, so the answer needs 2 decimal places.
* Result:
17.02
2) $2.88 \times 16.33$
* Multiply $288 \times 1633 = 470304$.
* There are 2 decimal places in $2.88$ and 2 in $16.33$, so the answer needs 4 decimal places.
* Result:
47.0304
3) $15 \times 0.73$
* Multiply $15 \times 73 = 1095$.
* There are 0 decimal places in $15$ and 2 in $0.73$, so the answer needs 2 decimal places.
* Result:
10.95
4) $0.89 \times 0.53$
* Multiply $89 \times 53 = 4717$.
* There are 2 decimal places in $0.89$ and 2 in $0.53$, so the answer needs 4 decimal places.
* Result:
0.4717
5) $82 \times 0.86$
* Multiply $82 \times 86 = 7052$.
* There are 0 decimal places in $82$ and 2 in $0.86$, so the answer needs 2 decimal places.
* Result:
70.52
6) $0.133 \times 0.478$
* Multiply $133 \times 478 = 63574$.
* There are 3 decimal places in $0.133$ and 3 in $0.478$, so the answer needs 6 decimal places. We add a zero at the front.
* Result:
0.063574
7) $39.04 \times 6.86$
* Multiply $3904 \times 686 = 2678144$.
* There are 2 decimal places in $39.04$ and 2 in $6.86$, so the answer needs 4 decimal places.
* Result:
267.8144
8) $22.29 \times 19.31$
* Multiply $2229 \times 1931 = 4304199$.
* There are 2 decimal places in $22.29$ and 2 in $19.31$, so the answer needs 4 decimal places.
* Result:
430.4199
9) $0.007 \times 1.7$
* Multiply $7 \times 17 = 119$.
* There are 3 decimal places in $0.007$ and 1 in $1.7$, so the answer needs 4 decimal places. We add a zero at the front.
* Result:
0.0119
Final Answer:
1) 17.02
2) 47.0304
3) 10.95
4) 0.4717
5) 70.52
6) 0.063574
7) 267.8144
8) 430.4199
9) 0.0119
Parent Tip: Review the logic above to help your child master the concept of multiplication of decimals worksheet 6th grade.
