Let’s solve each expression step by step using PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
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**Problem 1:
25 + 7 × 3 – 10 ÷ 2**
Step 1: Do multiplication and division first (left to right).
7 × 3 = 21
10 ÷ 2 = 5
Now the expression is:
25 + 21 – 5
Step 2: Do addition and subtraction left to right.
25 + 21 = 46
46 – 5 = 41
✔ Answer for Problem 1:
41
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**Problem 2:
4 × (7 – 3) + 10 ÷ 2**
Step 1: Parentheses first.
(7 – 3) = 4
Now: 4 × 4 + 10 ÷ 2
Step 2: Multiplication and division left to right.
4 × 4 = 16
10 ÷ 2 = 5
Now: 16 + 5 = 21
✔ Answer for Problem 2:
21
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**Problem 3:
22 + (18 ÷ 6) × (30 – 24)**
Step 1: Parentheses first.
(18 ÷ 6) = 3
(30 – 24) = 6
Now: 22 + 3 × 6
Step 2: Multiplication before addition.
3 × 6 = 18
Now: 22 + 18 = 40
✔ Answer for Problem 3:
40
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**Problem 4:
30 – (6 × 3) + (15 ÷ 5)**
Step 1: Parentheses first.
(6 × 3) = 18
(15 ÷ 5) = 3
Now: 30 – 18 + 3
Step 2: Left to right for subtraction and addition.
30 – 18 = 12
12 + 3 = 15
✔ Answer for Problem 4:
15
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**Problem 5:
7 × (28 – 14) + (24 ÷ 2)**
Step 1: Parentheses first.
(28 – 14) = 14
(24 ÷ 2) = 12
Now: 7 × 14 + 12
Step 2: Multiplication before addition.
7 × 14 = 98
Now: 98 + 12 = 110
✔ Answer for Problem 5:
110
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Final Answer:
41
21
40
15
110
Parent Tip: Review the logic above to help your child master the concept of 5th grade math algebra worksheet.
