7th Grade Additive inverse and distance between two points on a number line - Worksheet & Printable

Kyle and Mark started at the same location. Kyle traveled 5 miles due east, while Mark traveled 3 miles due West. How far apart are they?

A

2 miles

B

8 miles

C

15 miles

D

12 miles

Standard: 7.NS.A.1.C

Domain: The Number System

Theme: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Description: Understand subtraction of rational numbers as adding the additive inverse, p ? q = p + (?q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Which of the following is the same as 7 – (3 + 4)?

A

7 + (–3) + (–4)

B

7 +(–3 + 4)

C

7 + 7

D

–7 – 7

Standard: 7.NS.A.1.C

Domain: The Number System

Theme: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Description: Understand subtraction of rational numbers as adding the additive inverse, p ? q = p + (?q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Which of the following expressions represents the distance between the two points?

A

|4-3|

B

(-3)-4

C

|(-3)-4|

D

4-3

Standard: 7.NS.A.1.C

Domain: The Number System

Theme: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Description: Understand subtraction of rational numbers as adding the additive inverse, p ? q = p + (?q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

For what numbers will the statement be true?: t – (w) = t + (–w)

A

All positive numbers only

B

All positive integers only

C

All positive and negative integers, but not 0

D

All real numbers

Standard: 7.NS.A.1.C

Domain: The Number System

Theme: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Description: Understand subtraction of rational numbers as adding the additive inverse, p ? q = p + (?q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Which of the following is the same as 4 + (x – 3)?

A

4 + (–x) – 3

B

(–4) + x + (–3)

C

4 + x + (–3)

D

1 + (–x)

Standard: 7.NS.A.1.C

Domain: The Number System

Theme: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Description: Understand subtraction of rational numbers as adding the additive inverse, p ? q = p + (?q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.


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