Chapter 0, Problem 6PRT

To determine

The simplified value of the expression $18.4-\left(-3.2\right)$ .

Answer to Problem 6PRT

The simplified value of the expression $18.4-\left(-3.2\right)$ is $21.6$ .

Explanation of Solution

Given information:

The expression $18.4-\left(-3.2\right)$ .

Formula used:

Addition of two real numbers is obtained when they are added together. That is two or more numbers are separated by multiplication sign $+$ .

When a negative real number subtracted from a real number is the addition of the real number with the additive inverse of the given negative real number. Then,

  $a-\left(-b\right)=a+b$

Here, $b$ is the additive inverse of $-b$ .

Calculation:

Consider the expression $18.4-\left(-3.2\right)$ .

Recall that when a negative real number subtracted from a real number is the addition of the real number with the additive inverse of the given negative real number. Then,

  $a-\left(-b\right)=a+b$

Here, $b$ is the additive inverse of $-b$ .

Apply it,

  $18.4-\left(-3.2\right)=18.4+3.2$

Recall that addition of two real numbers is obtained when they are added together. That is two or more numbers are separated by multiplication sign $+$ .

Simplify it,

  $18.4+3.2=21.6$

Thus, the simplified value of the expression $18.4-\left(-3.2\right)$ is $21.6$ .