Grade 7 The Number System Free Bundle

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This fantastic bundle includes FREE worksheets and quiz items about The Number System. These ready-to-use Common Core-aligned, Grade 7 Math worksheets, are perfectly paired with premium End-of-Year test booklets.

Common Core Standards (7.NS)

Apply and extend previous understandings of operations with
fractions to add, subtract, multiply, and divide rational numbers.

1. 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.
   a. Describe situations in which opposite quantities combine to
   make 0. For example, a hydrogen atom has 0 charge because its two
   constituents are oppositely charged.
   b. 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.
   c. 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.
   d. Apply properties of operations as strategies to add and subtract
   rational numbers.
2. Apply and extend previous understandings of multiplication and
   division and of fractions to multiply and divide rational numbers.
   a. 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.

b. 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.

c. Apply properties of operations as strategies to multiply anddivide rational numbers.

d. Convert a rational number to a decimal using long division; knowthat the decimal form of a rational number terminates in 0s oreventually repeats.

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

Resource Examples

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