Understanding Operations  Multiply/Divide
7th Grade


Alabama Course of Study Standards:
4.e

Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved. 
Arkansas Academic Standards:
7.NS.A.2.A

 Understand that multiplication is extended from fractions to all rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, and the rules for multiplying signed numbers
 Interpret products of rational numbers by describing realworld contexts

Arizona Academic Standards:
7.NS.A.2a
Common Core State Standards:
Math.7.NS.2a or 7.NS.A.2.A
Kentucky Academic Standards (KAS):
7.NS.2.a
Mississippi College and CareerReadiness Standards:
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 realworld contexts. 
Georgia Standards of Excellence (GSE):
7.NR.1.6

Make sense of multiplication of rational numbers using realistic applications. 
North Carolina  Standard Course of Study:
7.NS.2.a

Understand that a rational number is any number that can be written as a quotient of integers with a nonzero divisor. 
Alabama Course of Study Standards:
4.f

Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a nonzero divisor) as a rational number. 
Arkansas Academic Standards:
7.NS.A.2.B

 Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with nonzero divisor) is a rational number (e.g., if p and q are integers, then (p/q) = (p)/q = p/(q))
 Interpret quotients of rational numbers by describing realworld contexts

Arizona Academic Standards:
7.NS.A.2b
Common Core State Standards:
Math.7.NS.2b or 7.NS.A.2.B
Kentucky Academic Standards (KAS):
7.NS.2.a
Mississippi College and CareerReadiness Standards:
7.NS.2b

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with nonzero 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 realworld contexts. 
Georgia Standards of Excellence (GSE):
7.NR.1.7

Show and explain that integers can be divided, assuming the divisor is not zero, and every quotient of integers is a rational number. 
North Carolina  Standard Course of Study:
7.NS.2.b

Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in realworld contexts. 
Arkansas Academic Standards:
7.NS.A.2.C

Fluently multiply and divide rational numbers by applying properties of operations as strategies 
Arizona Academic Standards:
7.NS.A.2c
Common Core State Standards:
Math.7.NS.2c or 7.NS.A.2.C
Kentucky Academic Standards (KAS):
7.NS.2.c
Mississippi College and CareerReadiness Standards:
7.NS.2c

Apply properties of operations as strategies to multiply and divide rational numbers. 
Georgia Standards of Excellence (GSE):
7.NR.1.9

Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in an applicable scenario. 
North Carolina  Standard Course of Study:
7.NS.2.c

Use division and previous understandings of fractions and decimals. Convert a fraction to a decimal using long division.
 Understand that the decimal form of a rational number terminates in 0s or eventually repeats.

Alabama Course of Study Standards:
4.g

Convert a rational number to a decimal using long division, explaining that the decimal form of a rational
number terminates or eventually repeats. 
Arkansas Academic Standards:
7.NS.A.2.D

 Convert a fraction to a decimal using long division
 Know that the decimal form of a fraction terminates in 0s or eventually repeats

Arizona Academic Standards:
7.NS.A.2d

Convert a rational number to decimal form using long division; know that the decimal form of a rational number terminates in 0’s or eventually repeats. 
Common Core State Standards:
Math.7.NS.2d or 7.NS.A.2.D
Kentucky Academic Standards (KAS):
7.NS.2.d
Mississippi College and CareerReadiness Standards:
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. 
Georgia Standards of Excellence (GSE):
7.NR.1.10

Convert rational numbers between forms to include fractions, decimal numbers and percentages, using understanding of the part divided by the whole. Know that the decimal form of a rational number terminates in 0s or eventually repeats. 
North Carolina  Standard Course of Study:
7.NS.2.d

Understand that the decimal form of a rational number terminates in 0s or eventually repeats. 
Pennsylvania Core Standards:
CC.2.1.7.E.1

Apply and extend previous understandings of operations with fractions to operations with rational numbers. 
Pennsylvania Core Standards:
M07.AN.1.1.3

Apply properties of operations to multiply and divide rational numbers, including realworld contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats. 
Georgia Standards of Excellence (GSE):
7.NR.1.6

Make sense of multiplication of rational
numbers using realistic applications. 
Georgia Standards of Excellence (GSE):
7.NR.1.7

Show and explain that integers can be
divided, assuming the divisor is not zero,
and every quotient of integers is a rational
number. 
Georgia Standards of Excellence (GSE):
7.NR.1.8

Represent the multiplication and division of
integers using a variety of strategies and
interpret products and quotients of rational
numbers by describing them based on the
relevant situation. 
Georgia Standards of Excellence (GSE):
7.NR.1.9

Apply properties of operations as strategies
to solve multiplication and division
problems involving rational numbers
represented in an applicable scenario. 
