Distance between Two Rational Numbers & Absolute Value NOTES & PRACTICE

This resource was developed to PARTIALLY meet the requirements of the 7th Grade Number Systems Standards below.

CCSS.MATH.CONTENT.7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

CCSS.MATH.CONTENT.7.NS.A.1.A
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

CCSS.MATH.CONTENT.7.NS.A.1.B
Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.1.C
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*

This resource contains the following items:

1) Introduction: Number Line Applications NOTES & PRACTICE

2) Distance using Absolute Value NOTES & PRACTICE

3) Distance & Absolute Value WORD PROBLEMS (Printable and version for Google Forms)

4) Number Line + Distance & Absolute Value TEST PRACTICE (Printable and version for Google Forms)

5) Answer Key to All Parts