7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
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.2.aUnderstand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (−1)(−1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
- 7.NS.A.2.bUnderstand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then −(p/q) = (−p)/q = p/(−q). Interpret quotients of rational numbers by describing real-world contexts.
- 7.NS.A.2.cApply properties of operations as strategies to multiply and divide rational numbers.
- 7.NS.A.2.dConvert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Where this sits in the school year
Our Grade 7 Math scope and sequence teaches 7.NS.A.2 in Unit 2: Multiplying & Dividing Rational Numbers, weeks 4–6.
Extend multiplication and division to signed numbers, convert rationals to decimals, and put all four operations to work on real problems. See the full pacing guide →
Builds on
Suggested prerequisites. This sequencing is our editorial guidance, not part of the Common Core.
7.NS.A.15.NF.B.4
Teaching Kits for this standard
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