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Chapter 1: Problem 37

Find each sum without the use of a number line. $$4+(-7)+(-5)$$

Short Answer

Expert verified
The sum of 4, -7, and -5 is -8.

Step by step solution

01

Add the positive number and the first negative number

First add the positive number (4) with the first negative number (-7). This is the same as subtracting 7 from 4 and your sign will be negative because your negative number is larger than the positive number: \(4-7=-3\). So the result is -3.
02

Add the result to the second negative number

The result (-3) is then added to the second negative number (-5). This is similar to subtracting 5 from -3, which becomes: \(-3-5=-8\). So the total sum is -8.

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Most popular questions from this chapter

Explain how to find the terms of the algebraic expression \(5 x-2 y-7\).

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(|a-b|=|b-a|\)

Perform the indicated subtraction. $$\frac{2}{5}-\left(-\frac{1}{10}\right)$$

A multiplication is expressed as a repeated addition. Find this sum, indicated by a question mark. $$4(-3)=(-3)+(-3)+(-3)+(-3)=?$$

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 6 times a number and \(-5\) times the number.
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