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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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Grade 7 · Unit 1~70 min3 topics · 4 videos

Operations with Rational Numbers

Extend everything you know about arithmetic to negative numbers. You'll learn the sign rules for adding, subtracting, multiplying, and dividing integers, then apply them to fractions and decimals.

Start the first topic →See all topics

Unit menu

Unit 1: Operations with Rational Numbers

Your progress

0 of 3 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice

Unit menu

Unit 1: Operations with Rational Numbers

Your progress

0 of 3 done0%

On this page

  • Topics
  • Objectives & vocabulary
  • Extra practice
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Work through these

Topics in this unit

Each topic is a short page: read the walkthrough, watch the video, try the practice, then take a quick quiz. Go in order or jump to what you need.

1
Adding & Subtracting Integers

Use the number line and two key rules to combine positive and negative numbers.

  • 2 videos
  • Practice
  • 3-question quiz
  • ~22 min
2
Multiplying & Dividing Integers

Same signs give a positive answer; different signs give a negative answer.

  • 1 video
  • Practice
  • 3-question quiz
  • ~20 min
3
Operations with Rational Numbers

Apply the sign rules to fractions and decimals, not just whole numbers.

  • 1 video
  • Practice
  • 2-question quiz
  • ~24 min
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Goals

Learning objectives

By the end of this unit, you should be able to:

  • ✓Add and subtract integers using a number line and the key sign rules.
  • ✓Multiply and divide integers and know when the result is positive or negative.
  • ✓Apply the rules of signs to operations with fractions and decimals.
  • ✓Solve real-world problems involving rational numbers.

Key vocabulary

Integer
A whole number and its opposite, including zero (…, -2, -1, 0, 1, 2, …).
Rational number
Any number that can be written as a fraction of two integers.
Additive inverse
The opposite of a number; a number plus its opposite equals zero.
Absolute value
A number's distance from zero on the number line, always positive.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

Khan Academy

Negative numbers: add & subtract

Open resource
Khan Academy

Negative numbers: multiply & divide

Open resource
Math Worksheets 4 Kids

Integers worksheet library

Open resource
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toGrade 7 library→Next up · Unit 2Ratios & Proportional Relationships