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.
Cluster 7.NS.AApply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Sub-standards
- 7.NS.A.1.aDescribe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
- 7.NS.A.1.bUnderstand 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.
- 7.NS.A.1.cUnderstand 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.
- 7.NS.A.1.dApply properties of operations as strategies to add and subtract rational numbers.
Where this sits in the school year
Our Grade 7 Math scope and sequence teaches 7.NS.A.1 in Unit 1: Adding & Subtracting Rational Numbers, weeks 1–3.
Extend addition and subtraction to negative numbers on the number line: opposites make zero, and subtracting is adding the inverse. See the full pacing guide →
Builds on
Suggested prerequisites. This sequencing is our editorial guidance, not part of the Common Core.
Teaching Kits for this standard
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