Distance on a Number Line
Comparing Subtraction Expressions (No Calculation)
Integer True or False
Random
100

What is the distance between 6 and -1?

7

100

Which is greater:

 −5 − 3 or 3 − (−5)?
 

3 − (−5)

100

True or False: Subtracting a positive number always makes the result smaller.

True

100

Ava says that subtracting a negative number is the same as adding a positive number. Explain why she is correct or incorrect. 

True. When you subtract a negative number, it is the same as adding a positive number. 


Example: 5-(-4)=9 and 5+4=9. 

200

What is the distance between −10 and 5?

15

200

Which is greater:

 −10 − 2 or −10 - (-2)?
 

−10 + 2

200

True or False: Subtracting a negative number always makes the result larger.

True

200

Josh says that you can rewrite the problem -13-2 as an addition problem. Is he correct? Explain why or why not. 

Yes, this is true because addition and subtraction are inverse operations. 

For example, the problem -13-2 can be written as -13+(-2). 

300

What is the distance between −2 and −8?

6

300

Without calculating, which is greater:

 7 − (−4) or 7 − 4?

7 − (−4)

300

True or False: Subtracting a positive integer from a positive integer is always positive?

False, this is only sometimes true. 

300

Select all that represent the distance between −7 and −2. 

A.   |−7 − (−2)|

B.   |−2 − (−7)|

C.   |-7 - 2|

D.   |-7-(-2)|

A.   |−7 − (−2)|

B.   |−2 − (−7)|

400

What is the distance between −18 and 2?

20

400

Which is greater: 

−8 − 6 or 6 − (−8)?

6 − (−8)

400

True or False: Subtracting a negative number from a negative number is always negative? 

False, this is only sometimes true. 

400

The temperature changes from -11 to 13 degrees. Which of the following model the change in temperature? 

A. |-11-13|

B. |11-13|

C. |13-(-11)|

D. |13-11|

A. |-11-13| = 24

C. |13-(-11)| =24

500

What is the distance between -3 and -51

48

500

Which is greater:

-33-40 or 33-40?

-33-40

500

True or False: 

Subtracting a negative integer from a positive integer always has a negative result. 

False, the answer will always be positive. 

500

How can you tell which is greater without calculating the answer? 

-13-9 or -13-(-9)

-13-(-9) is the same as -13+9, so it will move right from -13 on a number line. 

-13-9 will move left on a number line from -13. 

Subtracting a positive number decreases the value while subtracting a negative number increases it.

 Therefore, the answer is -13-(-9)