Evaluate each expression. See Example 5. 18 - 4² + 5 - (3 - 7)...

Question

Evaluate each expression. See Example 5. 18 - 4² + 5 - (3 - 7)

Accepted Answer

Hello, everyone. We are asked to evaluate the following expression. We are given 32 minus seven squared plus minus the parentheses, 12 minus 21. Our answer choices are A nine B negative three C six D three. So looking at this, the first thing that comes to my mind is that we need to use order of operations. And I remember that by the acronym pandas. So we'll go through what those letters mean. Let me rewrite our expression first. So 32 minus seven squared plus minus in parentheses, 12 minus 21 closed parentheses. So does the P stands for parentheses and we do have a set of parentheses. We have 12 minus 21 in parentheses. So I'm rewriting the rest of the problem. 32 minus seven squared plus minus. Now we're gonna do out 12 minus 21 which would give us a negative nine. And since there's a minus sign in front of that, I'm going to rewrite this as plus nine. So parentheses check, we now have 32 minus seven squared plus 11 plus nine. The E in peda stands for exponents. So do we have any exponents, we do, we have seven squared. Since the minus sign is not grouped with the seven, we are not gonna treat it as negative seven squared rather just as seven squared. So we'll have 32 minus seven squared is plus 11 plus nine. So check from there M and D get grouped together as multiply or divide and it's whichever comes first from left to right. In this example, we have neither multiplication or division. So moving on the A and the S stand for add or subtract. So it's whichever comes first from left to right. So from left to right, 32 minus 49 would give me negative plus 11 plus nine, negative 17 plus 11 is negative six, negative six plus nine, gives me a positive three. So we can check our addition and subtraction off and our answer is positive three which is answer choice D have a nice day.

Evaluate each expression. See Example 5. 18 - 4² + 5 - (3 - 7)

Key Concepts

Order of Operations (PEMDAS/BODMAS)

Exponents

Simplifying Expressions with Parentheses

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