/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 100 Use the order of operations to f... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Use the order of operations to find the value of each expression. \(30 \div\left[5^{2} \div(7-12)\right]-(-9)\)

Short Answer

Expert verified
The result of the expression is \(3\).

Step by step solution

01

Resolve the Parentheses

Calculate the expression inside the parentheses first: \(7-12 = -5\)
02

Resolve the Exponent

Next, calculate the exponent: \(5^{2} = 25\).
03

Continue with Division in Brackets

In the brackets, we have now \(25 \div -5\). This equals to \(-5\). Replace the bracketed portion with \(-5\) in the expression.
04

Division Operation

Perform the division operation: \(30 \div -5 = -6\)
05

Subtraction Operation

Finally, subtract \(-9\) from \(-6\). In other words, add 9 to -6. This equals to \(3\).

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