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Chapter 1: Problem 8

Use the order of operations to find each value. $$4+3[2+3(1+8 \div 4)]$$

Short Answer

Expert verified
Answer: 37

Step by step solution

01

Solve the operation inside the parentheses

According to the order of operations, we need to first solve the operation inside the parentheses: $$4+3[2+3(1+8 \div 4)]$$ As we can see, there is a division operation inside the parentheses, so we should perform it first: $$4+3[2+3(1+2)]$$ Now, we can proceed with the remaining operations inside the parentheses: $$4+3[2+3(3)]$$
02

Solve the operation inside the brackets

Now that we have solved the expression within the parentheses, we can proceed with the operation inside the brackets: $$4+3[2+9]$$ $$4+3[11]$$
03

Perform the operation outside the brackets

Lastly, we will multiply the number outside of the brackets with the result of the expression inside the brackets: $$4+33$$ The final step is to add these two numbers:
04

Find the final value

To find the final value of the expression, we simply add the two remaining numbers: $$37$$ So, the value of the given expression is 37.

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Most popular questions from this chapter

For the following problems, convert each percent to a decimal. $$ 18.6 \% $$

For the following problems, perform each indicated operation. \(\frac{1}{16}+\frac{3}{4}-\frac{3}{8}\)

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{12}{18}\)

For the following problems, convert each percent to a decimal. $$ 0.00005 \% $$

For the following problems, reduce, if possible, each fraction lowest terms. \(\frac{10}{12}\)
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