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Evaluate the expression. 42+5⋅32−42÷23

User Madelyn
by
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2 Answers

4 votes

Final answer:

The evaluated expression following the order of operations results in a final answer of 66.

Step-by-step explanation:

The question asks to evaluate the given mathematical expression: 42+5⋅32−42÷23.

To evaluate this expression, we will follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. First, we will calculate the exponent part of the expression. 32 is 9.
  2. Next, we will handle the multiplication and division parts. 5 × 9 equals 45, and 42 ÷ 2 equals 21.
  3. Now, we will perform addition and subtraction. 42 + 45 equals 87, and then 87 - 21 equals 66.

Therefore, after evaluating the expression step-by-step, the final answer is 66.

User Aniket Inge
by
7.3k points
3 votes

Final answer:

To evaluate the expression 42 + 5 × 32 - 42 ÷ 23, we need to follow the order of operations (PEMDAS). The value of the expression is approximately 200.17391304.

Step-by-step explanation:

To evaluate the expression 42 + 5 × 32 - 42 ÷ 23, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, we perform the multiplication: 5 × 32 = 160.

Then, we perform the division: 42 ÷ 23 ≈ 1.82608696 (rounded to 8 decimal places).

Finally, we perform the addition and subtraction: 42 + 160 - 1.82608696 = 200.17391304 (rounded to 8 decimal places).

Therefore, the value of the expression is approximately 200.17391304.

User Helpinghand
by
6.5k points
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