Examples for

Common Core Math: Grade 7: Number System

In seventh grade, students add, subtract, multiply and divide rational numbers, which include fractions, decimals and negative numbers. Students understand negative numbers as the opposites, or additive inverses, of positive numbers and understand that subtraction is equivalent to addition with an additive inverse. Students use number lines to visualize addition and subtraction with negative numbers and explore patterns in multiplication and division with negative numbers.
Common Core Standards

Get information about Common Core Standards.

Look up a specific standard:

CCSS.Math.Content.7.NS.A.1
seventh grade common core standard NS.A.3

Search for all seventh grade standards in a domain:

seventh grade common core standards about number systems
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Addition & Subtraction

Perform addition and subtraction.

Combine opposites to get zero (CCSS.Math.Content.7.NS.A.1a):

-5 + 5

Add rational numbers (CCSS.Math.Content.7.NS.A.1):

-4 + 9/2
3/4 + 5/8
3/5 + (-1/5)

Subtract rational numbers (CCSS.Math.Content.7.NS.A.1):

10 - 6/5
-5/8 - 1/4
difference between 5 and -5
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Multiplication & Division

Perform multiplication and division.

Multiply rational numbers (CCSS.Math.Content.7.NS.A.2a):

3 * 4
-2/3 * 3/4

Divide rational numbers (CCSS.Math.Content.7.NS.A.2b):

12/3
(1/5) / (-4/7)

Recognize patterns in multiplication and division (CCSS.Math.Content.7.NS.A.2):

negative number * positive number
negative number / negative number

Perform multiple operations with rational numbers (CCSS.Math.Content.7.NS.A.2):

-4/5 * -2
(-5)(-2) - (4)(-3)
(-1/2 + 3/8 + 1/4 + -3/2) / 2
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Decimals

Express rational numbers in decimal form.

Convert a rational number to a decimal (CCSS.Math.Content.7.NS.A.2d):

5/8 as a decimal
decimal form of 4/9

Perform operations with decimals (CCSS.Math.Content.7.NS.A.2):

2.6 + (-1.5)
-0.2 - 1.4
-0.8 * -4.3
-0.5 / -0.2
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