QuestionRewrite the expression (60 - (2 + 3 × 8) + 16 ÷ 2 × 4) - (49 ÷ 7 + 7). Which option is correct?

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(60-(+3 \times8)+16 \div \times4)-(49 \div7+7)$ . . We need to rewrite this expression in a simpler form.
3. We will follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to simplify the expression inside the parentheses. We start with the multiplication and division operations.
$(60-(2+24)+16 \div2 \times4)-(49 \div7+7)$

STEP 3

Continue with the division operation inside the parentheses.
$(60-(2+24)+8 \times)-(7+7)$

STEP 4

Next, perform the multiplication operation inside the parentheses.
$(60-(2+24)+32)-(7+7)$

STEP 5

Now, perform the addition and subtraction operations inside the parentheses.
$(60-26+32)-(14)$

STEP 6

Perform the subtraction operation outside the parentheses.
$66-14$

STEP 7

Finally, perform the subtraction operation to get the simplified expression.
$52$ The expression $(60-(2+3 \times)+16 \div2 \times4)-(49 \div7+7)$ can be rewritten as $60-26+32-14$ .
So, the correct answer is option a. $60-26+32-14$ .

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