# Mathematics

## Grade: 7, Mathematics 7.NS.1b

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Related Standards referred to in video

### 6.NS.5Apply and extend previous understandings of numbers to the system of rational numbers.

#### The Number System: Domain

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, debits/credits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

### 6.NS.6Apply and extend previous understandings of numbers to the system of rational numbers.

#### The Number System: Domain

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

### 7.NS.1cApply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

#### The Number System: Domain

Apply 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.

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.