Chapter 1: Q 263. (page 62)

Explain why the sum of $- 8$ and $2$ is negative, but the sum of $8$ and $- 2$ is positive.

Short Answer

Expert verified

The sum of $- 8$ and $2$ is negative because negative value $- 8$ has higher magnitude than $2$ .

The sum of $8$ and $- 2$ is positive because positive value $8$ has higher magnitude.

Step by step solution

Step 1. Given Information

It is asked to explain why sum of $- 8$ and $2$ is negative and sum of $8$ and $- 2$ is positive.

Step 2. Explaining the reasons for negative and positive sum

(1)

The sum of $- 8$ and $2$ can be written as $(- 8) + 2$

Simplify

$= (- 8) + 2 = - (8 - 2) = - 6$

Since negative value $- 8$ has larger magnitude value. So, the sum will always be the same as a sign of a higher magnitude number.

(2)

The sum of $8$ and $- 2$ can be written as $8 + (- 2)$

Simplify

$= 8 + (- 2) = 8 - 2 = 6$

Since positive value $8$ has a larger magnitude value. So, the sum will always be the same as a sign of a higher magnitude number.

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Explain why the sum of $- 8$ and $2$ is negative, but the sum of $8$ and $- 2$ is positive.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explaining the reasons for negative and positive sum

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Explain why the sum of -8and 2is negative, but the sum of 8and -2is positive.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explaining the reasons for negative and positive sum

One App. One Place for Learning.

Most popular questions from this chapter

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Explain why the sum of $- 8$ and $2$ is negative, but the sum of $8$ and $- 2$ is positive.