7.NS.A.1

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- 7.NS.A.1Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
- 7.NS.A.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- 7.NS.A.3Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

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7.NS.A.1c

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- 7.NS.A.1aDescribe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
- 7.NS.A.1bUnderstand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
- 7.NS.A.1cUnderstand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
- 7.NS.A.1dApply properties of operations as strategies to add and subtract rational numbers.

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## 7.NS.A.1c

## Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

37 Lesson(s)

### Subtracting Integers - How does subtraction relate to addition?

7th Grade Math »
Unit: Operations with Rational Numbers

7th Grade Math »
Unit: Operations with Rational Numbers

### Finding the Distance Between Signed Fractions on a Number Line

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### Algorithms for Subtracting Integers

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### How Addition and Subtraction are Related (Part 2 of 3)

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### How Addition and Subtraction are Related (Part 3 of 3)

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### Finding the Distance Between Integers On a Number Line

7th Grade Math »
Unit: Rational Number Operations

7th Grade Math »
Unit: Rational Number Operations

### Subtracting Integers Using Zero Pairs

7th Grade Math »
Unit: Integers

7th Grade Math »
Unit: Integers

### Adding and Subtracting Integers Test

7th Grade Math »
Unit: Operations with Rational Numbers

7th Grade Math »
Unit: Operations with Rational Numbers

### Subtracting Integers Practice - Can you subtract more than two integers?

7th Grade Math »
Unit: Operations with Rational Numbers

7th Grade Math »
Unit: Operations with Rational Numbers

### Absolute Value, Taking a Deeper Look!

7th Grade Math »
Unit: Integers

7th Grade Math »
Unit: Integers

Big Idea:

#### "The distance a number is away from zero on a number line." What does this really mean? Taking a deeper look into absolute value.

Standards:

Favorites
(14)

Resources
(15)

Reflections
(1)

### A look into Adding Integers with the Help of Zero Pairs!

7th Grade Math »
Unit: Integers

7th Grade Math »
Unit: Integers

### Subtracting Integers by "Walking It Out!'

7th Grade Math »
Unit: Integers

7th Grade Math »
Unit: Integers

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