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Question

Difficulty: MediumOrder of Operations

What is the evaluated result of the expression shown below?

24÷23×3−(5−8)2+∣−10∣ 24 \div 2^3 \times 3 - (5 - 8)^2 + |-10|
  1. 10Answer
  2. B
    2
  3. C
    28
  4. D
    -10

Answer

The correct result is 10, achieved by evaluating grouping symbols and exponents first, followed by left-to-right division and multiplication, and finally left-to-right subtraction and addition.
The correct answer is 10. By following the standard order of operations, grouping symbols and exponents are resolved first to yield 24÷8×3−9+1024 \div 8 \times 3 - 9 + 10. Next, executing multiplication and division strictly from left to right gives 9−9+109 - 9 + 10. Finally, executing addition and subtraction strictly from left to right yields 0+10=100 + 10 = 10.

Step-by-Step Solution

1
Simplify the expressions inside the parentheses and absolute value bars.
24÷23×3−(−3)2+10 24 \div 2^3 \times 3 - (-3)^2 + 10
Grouping symbols must be resolved first according to the standard order of operations.
2
Evaluate the exponential terms.
24÷8×3−9+10 24 \div 8 \times 3 - 9 + 10
Exponents are the second priority step and must be resolved before multiplication or division.
3
Perform multiplication and division sequentially from left to right.
First, 24÷8=3 24 \div 8 = 3 . Then, 3×3=9 3 \times 3 = 9 . The expression becomes 9−9+10 9 - 9 + 10 .
Multiplication and division share the exact same priority level and must be executed strictly from left to right.
4
Perform addition and subtraction sequentially from left to right.
First, 9−9=0 9 - 9 = 0 . Then, 0+10=10 0 + 10 = 10 .
Addition and subtraction share the same priority level and must also be executed strictly from left to right.

Key Concept

Order of Operations (PEMDAS/BODMAS) and Left-to-Right Priority
Estimated Time:1m 0s
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Topics

Order of Operations

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