To solve the given problems using the
distributive property of division, we will distribute the division operation over the addition in each expression. The distributive property for division states:
\[
(a + b) \div c = \frac{a}{c} + \frac{b}{c}
\]
Let's solve each problem step by step.
---
1. \((40 + 16) \div 8\)
Using the distributive property:
\[
(40 + 16) \div 8 = \frac{40}{8} + \frac{16}{8}
\]
Calculate each term:
\[
\frac{40}{8} = 5 \quad \text{and} \quad \frac{16}{8} = 2
\]
Add the results:
\[
5 + 2 = 7
\]
So, the answer is:
\[
\boxed{7}
\]
---
2. \((50 + 10) \div 5\)
Using the distributive property:
\[
(50 + 10) \div 5 = \frac{50}{5} + \frac{10}{5}
\]
Calculate each term:
\[
\frac{50}{5} = 10 \quad \text{and} \quad \frac{10}{5} = 2
\]
Add the results:
\[
10 + 2 = 12
\]
So, the answer is:
\[
\boxed{12}
\]
---
3. \((20 + 12) \div 4\)
Using the distributive property:
\[
(20 + 12) \div 4 = \frac{20}{4} + \frac{12}{4}
\]
Calculate each term:
\[
\frac{20}{4} = 5 \quad \text{and} \quad \frac{12}{4} = 3
\]
Add the results:
\[
5 + 3 = 8
\]
So, the answer is:
\[
\boxed{8}
\]
---
4. \((30 + 15) \div 3\)
Using the distributive property:
\[
(30 + 15) \div 3 = \frac{30}{3} + \frac{15}{3}
\]
Calculate each term:
\[
\frac{30}{3} = 10 \quad \text{and} \quad \frac{15}{3} = 5
\]
Add the results:
\[
10 + 5 = 15
\]
So, the answer is:
\[
\boxed{15}
\]
---
5. \((24 + 18) \div 6\)
Using the distributive property:
\[
(24 + 18) \div 6 = \frac{24}{6} + \frac{18}{6}
\]
Calculate each term:
\[
\frac{24}{6} = 4 \quad \text{and} \quad \frac{18}{6} = 3
\]
Add the results:
\[
4 + 3 = 7
\]
So, the answer is:
\[
\boxed{7}
\]
---
Final Answers:
\[
\boxed{7, 12, 8, 15, 7}
\]
Parent Tip: Review the logic above to help your child master the concept of distributive division worksheet.