Let's solve each problem step by step.
---
Problem 1:
$$
32 \div (5 + 3) =
$$
#### Step-by-Step Solution:
1. First, evaluate the expression inside the parentheses:
$$
5 + 3 = 8
$$
2. Now, divide 32 by the result:
$$
32 \div 8 = 4
$$
#### Final Answer:
$$
\boxed{4}
$$
---
Problem 2:
$$
[(43 - (7 + 24))] \times 2 =
$$
#### Step-by-Step Solution:
1. Evaluate the innermost parentheses first:
$$
7 + 24 = 31
$$
2. Subtract this result from 43:
$$
43 - 31 = 12
$$
3. Multiply the result by 2:
$$
12 \times 2 = 24
$$
#### Final Answer:
$$
\boxed{24}
$$
---
Problem 3:
$$
(7 + [(22 - 4) + 3]) \times 5 =
$$
#### Step-by-Step Solution:
1. Evaluate the innermost parentheses first:
$$
22 - 4 = 18
$$
2. Add 3 to the result:
$$
18 + 3 = 21
$$
3. Add 7 to the result:
$$
7 + 21 = 28
$$
4. Multiply the result by 5:
$$
28 \times 5 = 140
$$
#### Final Answer:
$$
\boxed{140}
$$
---
Problem 4:
Insert parentheses to make the statement equal 9:
$$
29 + 16 \div 5 =
$$
#### Step-by-Step Solution:
We need to insert parentheses so that the expression evaluates to 9. Let's try different placements:
1. Original expression without parentheses:
$$
29 + 16 \div 5 = 29 + 3.2 = 32.2 \quad (\text{not 9})
$$
2. Try placing parentheses around the division:
$$
29 + (16 \div 5) = 29 + 3.2 = 32.2 \quad (\text{still not 9})
$$
3. Try placing parentheses around the addition and division:
$$
(29 + 16) \div 5 = 45 \div 5 = 9 \quad (\text{this works!})
$$
#### Final Answer:
$$
\boxed{(29 + 16) \div 5}
$$
---
Problem 5:
Insert parentheses to make the statement equal 44:
$$
6 + 5 \times 12 - 8 =
$$
#### Step-by-Step Solution:
We need to insert parentheses so that the expression evaluates to 44. Let's try different placements:
1. Original expression without parentheses:
$$
6 + 5 \times 12 - 8 = 6 + 60 - 8 = 58 \quad (\text{not 44})
$$
2. Try placing parentheses around the multiplication:
$$
6 + (5 \times 12) - 8 = 6 + 60 - 8 = 58 \quad (\text{still not 44})
$$
3. Try placing parentheses around the addition and subtraction:
$$
(6 + 5) \times (12 - 8) = 11 \times 4 = 44 \quad (\text{this works!})
$$
#### Final Answer:
$$
\boxed{(6 + 5) \times (12 - 8)}
$$
---
Final Answers:
1. $ \boxed{4} $
2. $ \boxed{24} $
3. $ \boxed{140} $
4. $ \boxed{(29 + 16) \div 5} $
5. $ \boxed{(6 + 5) \times (12 - 8)} $
Parent Tip: Review the logic above to help your child master the concept of operations and algebraic thinking grade 5 worksheet.
