Chapter R.5, Problem 1DE

To determine

To calculate: The simplified form of the expression $8+\left(-3\right)$.

Answer to Problem 1DE

Solution:

The expression $8+\left(-3\right)$ is added and simplified as $\underset{\_}{5}$.

Explanation of Solution

Given information:

The provided expression is $8+\left(-3\right)$.

Formula Used:

Follow the rules below to add.

(1): To add the positive numbers, add the numbers and the result is positive.

(2): To add negative numbers, add the absolute values and make the answer negative.

(3): Combination of positive and negative numbers.

a) The numbers with same absolute value and opposite signs add up to 0.

b) If the numbers are of different absolute values, subtract the smaller value from the larger value and put the sign of the value with greater absolute value to the answer.

(4): One number is zero; sum is the number other than zero.

Calculation:

Consider the expression,

$8+\left(-3\right)$

Use the above rules to add:

One negative and one positive are added.

Subtract the absolute values of smaller from the greater as shown below,

$\left|8\right|-\left|3\right|=5$

Put the sign of the number with greater absolute value in the answer as shown below,

$8+\left(-3\right)=5$

Hence, the expression $8+\left(-3\right)$ is added and simplified as $5$.