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- Common Core MathK - 8High School

# Grade 7: The Number System

844 questions37 skills

# Grade 7: The Number System

844 questions37 skills

## 7.NS.A.1

494 questions21 skills

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.

Order of operations with negative numbers

Subtracting negative numbers

Adding & subtracting negative fractions

Adding negative numbers

Adding & subtracting rational numbers

Exponents with integer bases

Signs of sums

Adding negative numbers on the number line

Substitution with negative numbers

Interpret negative number addition and subtraction expressions

Negative number addition and subtraction: word problems

Equivalent expressions with negative numbers

Adding & subtracting negative numbers

Ordering negative number expressions

Interpreting negative number statements

Absolute value to find distance

Absolute value to find distance challenge

Number equations & number lines

Addition & subtraction: find the missing value

One-step equations with negatives (add & subtract)

Understand subtraction as adding the opposite

## 7.NS.A.1a

27 questions1 skill

Describe situations in which opposite quantities combine to make 0.

## 7.NS.A.1b

112 questions5 skills

Understand

*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.1c

239 questions11 skills

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.Subtracting negative numbers

Substitution with negative numbers

Interpret negative number addition and subtraction expressions

Ordering negative number expressions

Interpreting negative number statements

Absolute value to find distance

Absolute value to find distance challenge

Number equations & number lines

Addition & subtraction: find the missing value

One-step equations with negatives (add & subtract)

Understand subtraction as adding the opposite

## 7.NS.A.1d

117 questions5 skills

Apply properties of operations as strategies to add and subtract rational numbers.

## 7.NS.A.2

405 questions18 skills

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Order of operations with negative numbers

Multiplying negative numbers

Converting fractions to decimals

Multiplying positive and negative fractions

Exponents with negative fractional bases

Exponents with integer bases

Order rational numbers

Dividing mixed numbers with negatives

Dividing negative numbers

Negative signs in fractions

Signs of expressions challenge

Signs of expressions

Dividing positive and negative fractions

One-step equations with negatives (multiply & divide)

Multiplying & dividing negative numbers word problems

Simplify complex fractions

Dividing by zero

Equivalent expressions with negative numbers (multiplication and division)

## 7.NS.A.2a

124 questions6 skills

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.NS.A.2b

190 questions9 skills

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero 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 real-world contexts.## 7.NS.A.2c

19 questions1 skill

Apply properties of operations as strategies to multiply and divide rational numbers.

## 7.NS.A.2d

43 questions2 skills

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.

## 7.NS.A.3

56 questions3 skills

Solve real-world and mathematical problems involving the four operations with rational numbers.