Apply and extend previous understanding of multiplication and division of fractions to multiply and divide rational numbers.
a. 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-NS2a]
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. If p and q are integers, then
. Interpret quotients of rational numbers by describing real-world contexts. [7-NS2b]
c. Apply properties of operations as strategies to multiply and divide rational numbers. [7-NS2c]
7-NS2
Apply and extend previous understanding of multiplication and division of fractions to multiply and divide rational numbers.a. 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-NS2a]
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. If p and q are integers, then
. Interpret quotients of rational numbers by describing real-world contexts. [7-NS2b]
c. Apply properties of operations as strategies to multiply and divide rational numbers. [7-NS2c]
Why is a negative number times a negative number a positive number?
ACOS 2009 Correlation
Sixth Grade
- 1.3 - Formulating algorithms using basic operations on fractions and decimals.
- 2.3 - Converting terminating decimals, repeating decimals, and percents to fractions and mixed numbers.
Seventh GradeCMP2 Correlation
7-NS2a
7-NS2b
7-NS2c
7-NS2a
7-NS2c
7-NS2c
7-NS2d
Resources
From Harding Math Specialist
My Humble Opinion
Skills
Seems to be a more detailed description of the content to be taught regarding Integers (to include rational numbers). No new content.