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How do you multiply 4 ∙ -3 , and how does that relate to 4 ∙ 3 ?

How do you multiply 4 ∙ -3 , and how does that relate to 4 ∙ 3 ?. In this lesson you will learn to multiply positive and negative integers by using a number line. What’s an integer?. Integers include positive and negative whole numbers as well as 0. ...- 3, -2, -1, 0, 1, 2, 3.

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How do you multiply 4 ∙ -3 , and how does that relate to 4 ∙ 3 ?

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  1. How do you multiply 4 ∙ -3, and how does that relate to 4 ∙ 3?

  2. In this lesson you will learn to multiply positive and negative integers by using a number line.

  3. What’s an integer? Integers include positive and negative whole numbers as well as 0. ...-3, -2, -1, 0, 1, 2, 3 ... Non-Examples: -3.1 0.45 -8.6 2

  4. What’s multiplication? Multiplication is the process of scaling one number by another. 3 ∙ 4 = 12 factor product factor Multiplication Symbols 3× 4 3 ∙ 4 3(4) 3n

  5. What’s the commutative propertyof multiplication The order in which two numbers are multiplied does not matter. 6 ∙ 5 = 5 ∙ 6 = 30 30 7 ∙ 2 = 2∙ 7 = 14 14 11 ∙ 8 =8 ∙ 11 = 8888 7∙ 2 = 2 ∙ 7 11 ∙ 8 = 8 ∙ 11 6 ∙ 5 = 5 ∙ 6

  6. Multiplying without accounting for the signs of the two factors. - -9 ∙ 4 = 36 - 5 ∙ -3 = 15

  7. 7 · -1 -7 7 -7 -7 -1 · 7 -1 -7

  8. 4 · -3 12 -12 4 -12 -12 -3 · 4 -3 -12

  9. In this lesson you learned to multiply positive and negative integers by using a number line.

  10. Multiply -5 and 8.

  11. Simplify: 9 ∙ -6.

  12. Solve -6 ∙ 4 and 4 ∙ -6 on two different number lines. • What do you notice? Write a few sentences to explain what happened.

  13. Solve: • -1 ∙ 3 = • -2 ∙ 3= • -3 ∙ 3 = • -4 ∙ 3 = • -5 ∙ 3 = • What pattern do you see?

  14. Compare and contrast the following problem sets:

  15. 1. Simplify 12 ∙ -4. 2. Multiply -2 and 7.

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