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Chapter 1: Problem 47

Perform the indicated subtraction. $$5 \pi-2 \pi$$

Short Answer

Expert verified
Therefore, the answer is \(3\pi\).

Step by step solution

01

Identify Common Multiplicative Factors

Both terms in this subtraction problem, \(5 \pi\) and \(2 \pi\), are multiplied by \( \pi\). We can deal with the \( \pi\) symbol as a common factor.
02

Subtract the Coefficients and Leave the Common Factor

Next, subtract the coefficients of the two terms (the numbers in front of \( \pi\)). The difference between 5 and 2 is 3. Because they're both multiplied by \( \pi\), we keep \( \pi\) in the answer.

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Most popular questions from this chapter

Perform the indicated subtraction. $$0-(-13)$$

Perform the indicated subtraction. $$5.7-3.3$$

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 9 times a number and \(-4\) times the number.

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The quotient of \(-7\) and a number, subtracted from the quotient of \(-12\) and the number.

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)
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