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Grade 7: The Number System

777 questions34 skills

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

215 questions10 skills
Understand subtraction of rational numbers as adding the additive inverse, pq = 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.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

191 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.