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Free Order of Operations Activity - Cognitive Cardio Math - Free Printable

Free Order of Operations Activity - Cognitive Cardio Math

Educational worksheet: Free Order of Operations Activity - Cognitive Cardio Math. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Free Order of Operations Activity - Cognitive Cardio Math
Let’s solve each expression step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right).

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We’ll go one by one:

1) `2 + 7`


Just addition →
2 + 7 = 9

Final answer for #1: 9

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2) `14 - 8 + 2 - 6 + 7`


Only addition and subtraction — do them left to right:

- 14 - 8 = 6
- 6 + 2 = 8
- 8 - 6 = 2
- 2 + 7 = 9

Final answer for #2: 9

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3) `(7 + 3) ÷ 2`


Parentheses first:
7 + 3 = 10
Then divide:
10 ÷ 2 = 5

Final answer for #3: 5

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4) `6 + 2 - 6 + 9`


Left to right:

- 6 + 2 = 8
- 8 - 6 = 2
- 2 + 9 = 11

Final answer for #4: 11

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5) `8 - 6 + 7`


Left to right:

- 8 - 6 = 2
- 2 + 7 = 9

Final answer for #5: 9

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6) `10 ÷ 2 × 9`


Division and multiplication — left to right:

- 10 ÷ 2 = 5
- 5 × 9 = 45

Final answer for #6: 45

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7) `(10) ÷ 2 × 3²`


First, parentheses: (10) is just 10.
Exponent next: 3² = 9
Now: 10 ÷ 2 × 9

Left to right:

- 10 ÷ 2 = 5
- 5 × 9 = 45

Final answer for #7: 45

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Wait — let me double-check problem #7 because it says “(10) ÷ 2 × 3²” — yes, exponent comes before division/multiplication? Actually no — in PEMDAS, exponents come after parentheses but before multiplication/division. So we did it right:

Step 1: Evaluate exponent → 3² = 9
Step 2: Now expression is 10 ÷ 2 × 9
Step 3: Left to right → 10 ÷ 2 = 5; 5 × 9 = 45 ✔️

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Also note: There’s a strip that just says “45” — that’s likely the answer to #6 or #7.

And there’s a strip with “×9” — probably part of #6.

Another strip says “9” — matches several answers.

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Let’s list all final answers clearly:

1) 2 + 7 = 9
2) 14 - 8 + 2 - 6 + 7 = 9
3) (7 + 3) ÷ 2 = 5
4) 6 + 2 - 6 + 9 = 11
5) 8 - 6 + 7 = 9
6) 10 ÷ 2 × 9 = 45
7) (10) ÷ 2 × 3² = 45

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Final Answer:
1) 9
2) 9
3) 5
4) 11
5) 9
6) 45
7) 45
Parent Tip: Review the logic above to help your child master the concept of order of operations activities.
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