Question

Evaluate the expression. $$ 8.4-5.2-(-4.7) $$

Short answer

The value of the expression is 7.9.

Step-by-step solution

Identify the Problem

The goal is to simplify the numerical expression. This should be done moving from left to right, applying the rule of addition and subtraction. However, keep an eye on the double negative at the end (-(-4.7)).

Subtract the First Pair

First, perform the subtraction of the first two numbers: 8.4 - 5.2 = 3.2.

Address the Double Negative

Now, you need to subtract negative 4.7. We should know that any number subtracted by a negative number is equivalent to adding the positive of the number. Therefore, 3.2 - (-4.7) is the same as 3.2 + 4.7.

Final Calculation

Add the results from the previous steps: 3.2 + 4.7 = 7.9.