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Order of Operations Practice
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Order of Operations Practice
A robot is sorting number expressions. Help it follow the order of operations: parentheses first, then multiplication and division from left to right, then addition and subtraction from left to right. Show your steps when asked. Remember: multiplication does not always come before division, and addition does not always come before subtraction.
Warm-Up: Choose the Next Step
Read each expression carefully before calculating.
1.In 7 + 5 × 2, which operation should you do first?
- 7 + 5
- 5 × 2
- 2 + 7
2.Solve the expression 8 + 4 × 3. Show the multiplication step before adding.
3.A student says (12 − 4) ÷ 2 = 12 − 2 = 10. Is the student correct? Explain the correct order and give the answer.
Solve the Expressions
Work through each expression one operation at a time.
4.Find the value of 15 − 6 + 3 × 2. Show which operation you do first.
5.A snack stand packs (5 + 7) × 3 granola bars into boxes. How many bars are packed altogether?
6.Fill in the blank with the value of 24 ÷ 6 + 4 × 2.
7.Evaluate 20 − (8 − 3) × 2. Write the value inside the parentheses first, then finish the expression.
Challenge: Be the Math Detective
Use the rules carefully. Check whether each claim makes sense.
8.Match each expression with its value. A: (18 ÷ 3) + (4 × 5) − 7. B: 30 − 6 × 3 + (9 − 4). C: (16 − 8) ÷ 2 + 7 × 3. Values: 19, 17, 25.
- A: (18 ÷ 3) + (4 × 5) − 7
- B: 30 − 6 × 3 + (9 − 4)
- C: (16 − 8) ÷ 2 + 7 × 3
- 17
- 25
- 19
9.A calculator display shows 25 − (12 ÷ 4) × 5 + 8. Find the value, showing the division and multiplication before the addition and subtraction.
10.Create a numerical expression that equals 20 and uses the numbers 8, 4, and 3 exactly once, plus at least one operation sign. Write the expression and explain why its value is 20.
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