Multiply and divide integers and rational numbers
7.NS.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.2A
Understand 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.2B
Understand 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 qare integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
7.NS.2C
Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.2D
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.2A
Understand 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.2B
Understand 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 qare integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
7.NS.2C
Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.2D
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
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Algorithm
Divisor
Quotient
C.3 - Multiply decimals
C.5 - divide decimals E.6 - Integer and multiplication rules E.7 - Multiply and divide integers E.8 - Complete multiplication and division sentences with integers Y.2 - Distributive Property G.7 - Multiply fractions G.8 - Multiply fractions and whole numbers G.9 - Multiply mixed numbers G.11 - Divide fractions G.12 - Multiply mixed numbers H.7 - Multiply and divide rational numbers |