PEMDAS- Evaluate The Expressions

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| By Jgonzalez
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Jgonzalez
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Quizzes Created: 2 | Total Attempts: 4,530
| Attempts: 4,480
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  • 1/15 Questions

    2 × 2 + (7 × 7) + 7

    • 20
    • 40
    • 60
    • 15
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About This Quiz

This PEMDAS quiz assesses the ability to accurately evaluate mathematical expressions using the order of operations. It challenges learners to apply PEMDAS rules across a variety of problems, enhancing their problem-solving skills and mathematical thinking.

Order Of Operations Quizzes & Trivia

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  • 2. 

    (62 ÷ 62) + 5

    • 1

    • 4

    • 25

    • 6

    Correct Answer
    A. 6
    Explanation
    When we divide any number by itself, the result is always 1. So 62 divided by 62 is equal to 1. Adding 5 to 1 gives us 6. Therefore, the correct answer is 6.

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  • 3. 

    (4 × 6) − 8 =

    • 18

    • 18

    • 22

    • 16

    Correct Answer
    A. 16
    Explanation
    The given equation is (4 × 6) − 8. First, we need to solve the multiplication, which gives us 24. Then, we subtract 8 from 24, resulting in 16. Therefore, the correct answer is 16.

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  • 4. 

    According to the order of operations, which comes first?

    • Multiplication

    • Addition

    • Exponents

    • Parentheses

    Correct Answer
    A. Parentheses
    Explanation
    Parentheses come first in the order of operations. This is because any operations inside parentheses should be performed before any other operations. The purpose of parentheses is to group together numbers and operations and indicate that they should be evaluated as a single unit. Once the operations inside the parentheses are completed, then the other operations like exponents, multiplication, and addition can be performed.

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  • 5. 

    (9 ÷ 3 + 7 − 9 + 7)=

    • 18

    • 5

    • 8

    • 27

    Correct Answer
    A. 8
    Explanation
    The given expression involves a combination of addition and subtraction operations. Following the order of operations (PEMDAS/BODMAS), we first perform the division operation 9 ÷ 3, which gives us 3. Then, we add 7 to get 10. Next, we subtract 9, resulting in 1. Finally, we add 7, giving us the final answer of 8.

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  • 6. 

    (3 × 7 − 4 − 1 + 8) =

    • 22

    • 24

    • 21

    • 34

    Correct Answer
    A. 24
    Explanation
    To solve this equation, we follow the order of operations (PEMDAS/BODMAS). First, we perform the multiplication: 3 multiplied by 7 equals 21. Then, we subtract 4 from 21, which gives us 17. Next, we subtract 1 from 17, resulting in 16. Finally, we add 8 to 16, giving us a final answer of 24.

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  • 7. 

    When using the order of operations, the operations of Division and Multiplication rank equally (from LEFT to RIGHT) and the operations of Addition and Subtraction rank equally (from LEFT to RIGHT).

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The explanation for the given correct answer is that according to the order of operations, division and multiplication have the same rank and should be performed from left to right. Similarly, addition and subtraction also have the same rank and should be performed from left to right. This means that when evaluating an expression, division and multiplication should be done before addition and subtraction. Therefore, the statement is true.

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  • 8. 

    Which is the correct order of operations to simplify the expression ( 5 x 2 ) + 9 x 6 ?

    • Parentheses, addition, multiplication

    • Multiplication, parentheses, addition

    • Parentheses, multiplication, subtraction

    • Parentheses, multiplication, addition

    Correct Answer
    A. Parentheses, multiplication, addition
    Explanation
    The correct order of operations to simplify the expression ( 5 x 2 ) + 9 x 6 is parentheses, multiplication, addition. This means that we first solve the operation inside the parentheses, which is 5 x 2, resulting in 10. Then, we multiply 9 x 6, which gives us 54. Finally, we add the two results together, 10 + 54, resulting in 64.

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  • 9. 

     ( 4 + 49 ) - 4 x 10.

    • 490

    • 13

    • 480

    • 23

    Correct Answer
    A. 13
    Explanation
    The given expression involves addition, subtraction, and multiplication. According to the order of operations (PEMDAS/BODMAS), we first perform the multiplication operation. 4 multiplied by 10 equals 40. Then, we perform the addition operation of 4 and 49, which equals 53. Finally, we subtract 40 from 53, resulting in the answer of 13.

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  • 10. 

    2 + 7 × (7 × 9) ÷ 3=

    • 149

    • 89

    • 179

    • 49

    Correct Answer
    A. 149
    Explanation
    To solve this expression, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right). First, we calculate the expression inside the parentheses, which is 7 multiplied by 9, resulting in 63. Then, we multiply 7 by 63, giving us 441. Next, we divide 441 by 3, which equals 147. Finally, we add 2 to 147, resulting in the final answer of 149.

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  • 11. 

    (1 − 8) × 3 =

    • -21

    • 21

    • 22

    • -22

    Correct Answer
    A. -21
    Explanation
    The given expression is (1 - 8) × 3. First, we evaluate the subtraction inside the parentheses which gives us -7. Then, we multiply -7 by 3 to get -21. Therefore, the correct answer is -21.

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  • 12. 

    It is important to evaluate expressions from RIGHT to LEFT.

    • True

    • False

    Correct Answer
    A. False
    Explanation
    Expressions should ALWAYS be solved from LEFT to RIGHT, like reading the words on a page.

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  • 13. 

    5 − (9 − 3) + 6

    • 5

    • 10

    • 6

    • -5

    • 4

    Correct Answer
    A. 5
    Explanation
    The given expression involves addition and subtraction operations. According to the order of operations, we need to perform the subtraction within the parentheses first. So, (9 - 3) equals 6. Then, we subtract 6 from 5, which gives us -1. Finally, we add 6 to -1, resulting in 5. Therefore, the answer is 5.

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  • 14. 

    (5 × 9) − (5 − 7 × 6) =

    • 12

    • 82

    • 92

    • 72

    Correct Answer
    A. 82
    Explanation
    To solve this equation, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right). First, we calculate the value inside the parentheses: (5 - 7 × 6) = (5 - 42) = -37. Then, we multiply 9 by 5, which gives us 45. Finally, we subtract -37 from 45, resulting in 82. Therefore, the correct answer is 82.

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  • 15. 

    2 + 5 (6-2)

    • 28

    • 22

    • 30

    • 11

    Correct Answer
    A. 22
    Explanation
    The given expression involves multiplication and addition. According to the order of operations (PEMDAS/BODMAS), we should first solve the parentheses, then perform the multiplication, and finally do the addition. Within the parentheses, 6-2 equals 4. So, the expression becomes 2 + 5 * 4. Multiplying 5 by 4 gives us 20. Finally, adding 2 and 20 gives us the answer of 22.

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  • Current Version
  • Mar 08, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 02, 2016
    Quiz Created by
    Jgonzalez
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