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Chapter 1: Problem 7

Use the order of operations to find each value. $$2+3(18-5 \cdot 2)$$

Short Answer

Expert verified
Answer: The value of the expression is 26.

Step by step solution

01

Identify the operation inside the parentheses.

First of all, identify the operation that is inside the parentheses: $$2+3(18-5 \cdot 2)$$ In this case, it's \((18-5 \cdot 2)\). Now, perform the operations inside the parentheses following the order of operations.
02

Perform multiplication inside the parentheses.

The expression inside the parentheses is \(18-5 \cdot 2\). According to the order of operations, perform multiplication first: $$18 - 5 \cdot 2 = 18 - 10$$ Now the expression inside the parentheses becomes \((18 - 10)\).
03

Perform subtraction inside the parentheses.

Next, perform the subtraction inside the parentheses: $$18 - 10 = 8$$ Now the original expression becomes: $$2+3(8)$$
04

Perform multiplication.

Now, perform the multiplication of \(3(8)\): $$3 \cdot 8 = 24$$ So the expression becomes: $$2+24$$
05

Perform addition.

Finally, perform the addition: $$2 + 24 = 26$$ The value of the given expression, after applying the order of operations, is 26.

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Most popular questions from this chapter

For the following problems, perform each indicated operation. \(\frac{3}{8}+\frac{2}{8}-\frac{1}{8}\)

For the following problems, convert each fraction to a decimal fraction. If the decimal form is nonterminating,round to 3 decimal places. \(\frac{7}{11}\)

For the following problems, convert each fraction to a percent. $$ \frac{2}{11} $$

For the following problems, convert each percent to a decimal. $$ 0.00034 \% $$

For the following problems, determine the missing numerator or denomin ator. \(\frac{5}{3}=\frac{80}{?}\)
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