Adding negative numbers on number line examples | 7th grade | Khan Academy | Summary and Q&A

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September 11, 2015
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Khan Academy
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Adding negative numbers on number line examples | 7th grade | Khan Academy

TL;DR

This video teaches how to add and subtract positive and negative numbers using number line models.

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Key Insights

  • #️⃣ Number line models are a helpful visualization tool for adding and subtracting positive and negative numbers.
  • #️⃣ Understanding the signs and directions of the numbers is crucial in accurately representing expressions on a number line.
  • #️⃣ Vertical number lines can be used to add positive and negative numbers by considering the upward and downward movements.
  • #️⃣ Fraction addition involving positive and negative numbers can also be represented and understood using number line models.

Transcript

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Questions & Answers

Q: How can number line models be used to visualize adding and subtracting positive and negative numbers?

Number line models provide a visual representation of the operations. By starting from a specific point on the number line and moving in the designated direction, it becomes easier to understand the overall result of adding or subtracting positive and negative numbers.

Q: What is the difference between positive two plus negative seven and negative two minus seven?

Positive two plus negative seven represents starting from positive two and subtracting seven, whereas negative two minus seven begins from negative two and subtracts seven. The number line models for these expressions will be different.

Q: How can a vertical number line be used to add positive and negative numbers?

On a vertical number line, increasing values are represented upwards. To add a negative number, one must move downwards from the starting point. By considering the direction and the number of steps, the result can be determined.

Q: How can number line models help in understanding fraction addition involving positive and negative numbers?

Number line models can illustrate the addition of fractions by representing each fraction's position on the number line. By visually determining the direction and magnitude of the steps, the sum of the two fractions can be found.

Summary & Key Takeaways

  • The video demonstrates examples of adding and subtracting positive and negative numbers using number line models.

  • It explains how to find the sum or difference by visually representing the operations on a number line.

  • Different number line models are shown for various expressions involving positive and negative numbers.

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