Question

1. find each difference. if you get stuck, consider drawing a number line diagram.

a. $9 - 4 = 6$
b. $4 - 9 = -5$
c. $9 - (-4) = 13$
d. $-9 - (-4) = -5$
e. $-9 - 4 = -13$
f. $4 - (-9) = 13$
g. $-4 - (-9) = 5$
h. $-4 - 9 = -13$

Explanation:

Step1: Solve 9 - 4

Subtract 4 from 9: $9 - 4 = 5$ (Note: The original answer had a typo, correct is 5)

Step2: Solve 4 - 9

Subtract 9 from 4: $4 - 9 = -5$

Step3: Solve 9 - (-4)

Subtracting a negative is adding: $9 + 4 = 13$

Step4: Solve -9 - (-4)

Subtracting a negative is adding: $-9 + 4 = -5$

Step5: Solve -9 - 4

Subtract 4 from -9: $-9 - 4 = -13$

Step6: Solve 4 - (-9)

Subtracting a negative is adding: $4 + 9 = 13$

Step7: Solve -4 - (-9)

Subtracting a negative is adding: $-4 + 9 = 5$ (Note: The original answer had a typo, correct is 5)

Step8: Solve -4 - 9

Subtract 9 from -4: $-4 - 9 = -13$

Answer:

a. $5$
b. $-5$
c. $13$
d. $-5$
e. $-13$
f. $13$
g. $5$
h. $-13$