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Chapter 4: Problem 7

Multiply. $$ \begin{array}{r} 87 \\ \times 0.006 \\ \hline \end{array} $$

Short Answer

Expert verified
0.522

Step by step solution

01

Understand the Problem

The task is to multiply the number 87 by 0.006.
02

Convert Decimal to Fraction

Convert the decimal number 0.006 to a fraction. Since 0.006 is the same as 6 thousandths, it can be written as \[ \frac{6}{1000} \].
03

Multiply Fractions

Multiply the integer 87 by the fraction \[ \frac{6}{1000} \]. This can be written as \[ 87 \times \frac{6}{1000} = \frac{87 \times 6}{1000} \].
04

Perform Multiplication

Calculate the multiplication in the numerator: \[ 87 \times 6 = 522 \]. Now the expression is \[ \frac{522}{1000} \].
05

Convert Fraction to Decimal

Convert \[ \frac{522}{1000} \] back to a decimal. Because the denominator is 1000, move the decimal point in the numerator three places to the left: \[ 0.522 \].
06

Write the Final Answer

The result of multiplying 87 by 0.006 is 0.522.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

multiplying fractions
Multiplying fractions is an essential skill in basic arithmetic. To multiply two fractions, follow these simple steps:
converting decimals to fractions
Converting decimals to fractions helps in performing multiplication more straightforwardly.
basic arithmetic operations
Basic arithmetic operations include addition, subtraction, multiplication, and division.

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