To solve these decimal division problems, we can use a simple trick: multiply both numbers by 10, 100, or 1000 to make the divisor (the number you are dividing by) a whole number. This makes the math much easier.
Here are the step-by-step solutions for each problem:
Column 1:
1.
0.28 ÷ 0.7
* Multiply both by 10: $2.8 \div 7$
* $28 \div 7 = 4$, so $2.8 \div 7 = 0.4$
2.
0.021 ÷ 0.03
* Multiply both by 100: $2.1 \div 3$
* $21 \div 3 = 7$, so $2.1 \div 3 = 0.7$
3.
0.054 ÷ 0.9
* Multiply both by 10: $0.54 \div 9$
* $54 \div 9 = 6$, so $0.54 \div 9 = 0.06$
4.
5.2 ÷ 1.3
* Multiply both by 10: $52 \div 13$
* $13 \times 4 = 52$, so the answer is $4$
5.
0.012 ÷ 0.4
* Multiply both by 10: $0.12 \div 4$
* $12 \div 4 = 3$, so $0.12 \div 4 = 0.03$
6.
9.9 ÷ 3.3
* Multiply both by 10: $99 \div 33$
* $33 \times 3 = 99$, so the answer is $3$
7.
0.5 ÷ 0.05
* Multiply both by 100: $50 \div 5$
* $50 \div 5 = 10$
8.
12.28 ÷ 0.04
* Multiply both by 100: $1228 \div 4$
* $1200 \div 4 = 300$ and $28 \div 4 = 7$. So, $300 + 7 = 307$
9.
10.08 ÷ 0.3
* Multiply both by 10: $100.8 \div 3$
* $100 \div 3 = 33.33...$ wait, let's do long division mentally.
* $1008 \div 3 = 336$. Since it was $100.8$, move decimal one left: $33.6$
10.
5.5 ÷ 0.11
* Multiply both by 100: $550 \div 11$
* $55 \div 11 = 5$, so $550 \div 11 = 50$
Column 2:
11.
0.36 ÷ 0.06
* Multiply both by 100: $36 \div 6$
* $36 \div 6 = 6$
12.
0.72 ÷ 0.009
* Multiply both by 1000: $720 \div 9$
* $72 \div 9 = 8$, so $720 \div 9 = 80$
13.
0.405 ÷ 0.03
* Multiply both by 100: $40.5 \div 3$
* $40 \div 3 = 13.33...$ Let's try $405 \div 3 = 135$. Move decimal back one spot: $13.5$
14.
8.4 ÷ 2.1
* Multiply both by 10: $84 \div 21$
* $21 \times 4 = 84$, so the answer is $4$
15.
0.288 ÷ 3.6
* Multiply both by 10: $2.88 \div 36$
* $288 \div 36 = 8$. Move decimal two places left: $0.08$
16.
3.9 ÷ 1.3
* Multiply both by 10: $39 \div 13$
* $13 \times 3 = 39$, so the answer is $3$
17.
7.005 ÷ 0.5
* Multiply both by 10: $70.05 \div 5$
* $70 \div 5 = 14$ and $0.05 \div 5 = 0.01$. Total: $14.01$
18.
0.288 ÷ 3.6
* *(Same as #15)* Answer is $0.08$
19.
3.024 ÷ 1.2
* Multiply both by 10: $30.24 \div 12$
* $30 \div 12 = 2.5$ ($12 \times 2 = 24$, remainder 6). $6.24 \div 12 = 0.52$. Total: $2.52$
* Alternatively: $3024 \div 12 = 252$. Move decimal two spots left: $2.52$
20.
0.056 ÷ 0.7
* Multiply both by 10: $0.56 \div 7$
* $56 \div 7 = 8$, so $0.56 \div 7 = 0.08$
Final Answer:
1) 0.4
2) 0.7
3) 0.06
4) 4
5) 0.03
6) 3
7) 10
8) 307
9) 33.6
10) 50
11) 6
12) 80
13) 13.5
14) 4
15) 0.08
16) 3
17) 14.01
18) 0.08
19) 2.52
20) 0.08
Parent Tip: Review the logic above to help your child master the concept of divisor worksheet decimals.
