Math  /  Numbers & Operations

Question3. 3514÷2+8235-14 \div 2+8^{2}

Studdy Solution

STEP 1

1. The expression to evaluate is 3514÷2+82 35 - 14 \div 2 + 8^2 .
2. We will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

STEP 2

1. Evaluate the exponent.
2. Perform the division.
3. Perform the subtraction and addition from left to right.

STEP 3

Evaluate the exponent in the expression.
82=64 8^2 = 64
The expression now becomes:
3514÷2+64 35 - 14 \div 2 + 64

STEP 4

Perform the division in the expression.
14÷2=7 14 \div 2 = 7
The expression now becomes:
357+64 35 - 7 + 64

STEP 5

Perform the subtraction and addition from left to right.
First, perform the subtraction:
357=28 35 - 7 = 28
The expression now becomes:
28+64 28 + 64
Next, perform the addition:
28+64=92 28 + 64 = 92
The final result of the expression is:
92\boxed{92}

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