QuestionExplain the missing expressions for Step 2 and Step 6 in solving $\left(\frac{6^{2}+2}{|-0.5|}\right)-14.8 \div 8$ .

Studdy Solution

STEP 1

Assumptions1. The order of operations is followed, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS. . The absolute value of a number is its distance from zero, so it is always positive or zero.

STEP 2

In Step1, the expression inside the parentheses is $6^{2}+2$ . However, in Step, this expression has been simplified to $36+2$ . This means that in Step2, the exponent operation should be performed first according to the order of operations (PEMDAS).
$Step\,2 \left(\frac{36+2}{|-0.5|}\right)-14.8 \div8$

STEP 3

In Step5, the expression inside the parentheses has been simplified to $76$ , and the division operation has not yet been performed. However, in Step7, the division operation has been performed and the result is $74.15$ . This means that in Step6, the division operation should be performed next according to the order of operations (PEMDAS).
$Step\,676-1.85$

STEP 4

So, the missing expression for Step2 should be $\left(\frac{36+2}{|-0.|}\right)-14.8 \div8$ and for Step6 should be $76-1.85$ .

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