The Number System

Outcomes

  • Apply And Extend Previous Understandings Of Operations With Fractions To Add, Subtract, Multiply, And Divide Rational Numbers.
    • 7.NS.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.
      Examples
    • 7.NS.1.d
      Apply properties of operations as strategies to add and subtract rational numbers.
      Examples
    • 7.NS.2
      Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
      Examples
    • 7.NS.2.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.
      Examples
    • 7.NS.2.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.
      Examples
    • 7.NS.2.c
      Apply properties of operations as strategies to multiply and divide rational numbers.
      Examples
    • 7.NS.2.d
      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.
      Examples
    • 7.NS.3
      Solve real-world and mathematical problems involving the four operations with rational numbers.
      Examples