Question

Rewrite 4 − 5 using the additive inverse and display the new expression on a number line. 4 + 5 A horizontal number line is shown with labels from 0 to 16. A blue arrow begins at 0 and ends at 4. Another blue arrow begins at 4 and ends at 9. 4 − (−5) A horizontal number line is shown with labels from 0 to 16. A blue arrow begins at 0 and ends at 4. Another blue arrow begins at 4 and ends at 9. 5 − 4 A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and ends at 5. A red arrow begins at 5 and ends at 1. 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

Answer 1

The correct option is D) 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

Explanation:

Consider the provided expression.

4 − 5

Rewrite the above expression using the additive inverse.

Additive inverse is a property: The additive inverse of a number −x is +x.

By using the above property we can rewrite the provided expression as shown:

4 + (−5)

Now to find the location of the number 4 + (−5) on number line, first draw the line as shown:

Step 1: Draw a horizontal number line is shown with labels from −8 to 8.

Step 2: A blue arrow begins at 0 and goes to 4. Which shows the number is positive.

Step 3: A red arrow begins from 4 and goes 5 unit backward. Which indicate 4 + (−5).

Step 4: The arrow stops at −1.

As 4 + (−5) = 4 − 5 = −1

The required number line is shown in figure 1:

Hence, the correct option is D) 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

Answer 2

When you rewrite subtraction using the additive inverse, you add the opposite. That is, -5 becomes +(-5).

The appropriate choice is ...

... 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.