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How do you multiply a set of integers like -3 ∙ -5 ∙ -2 ?

How do you multiply a set of integers like -3 ∙ -5 ∙ -2 ?. In this lesson you will learn to multiply sets of integers by using the associative property on a number line. What’s an integer?. Integers include positive and negative whole numbers as well as 0.

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How do you multiply a set of integers like -3 ∙ -5 ∙ -2 ?

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  1. How do you multiply a set of integers like-3 ∙ -5 ∙ -2?

  2. In this lesson you will learn to multiply sets of integers by using the associative property on 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 associative propertyof multiplication? With three or more numbers, the product is the same regardless of grouping. 6 ∙ (5 ∙ 2) = 60 (6 ∙ 5)∙ 2 = 60 (6 ∙ 5)∙ 2 = 6 ∙ (5 ∙ 2)

  6. Thinking multiplication properties are different with more than two numbers. - -6 ∙ -4 ∙ -2 = 48

  7. 3 · -4 · 6 (3 · -4) · 6 3 12 -72 -12 3 · (-4 · 6) -4 -72 -24

  8. -5 · -3 · -2 (-5 · -3) · -2 15 -30 -15 30 -5 -5 · (-3 · -2) -3 6 -30 -6 30

  9. In this lesson you learned to multiply sets of integers by using the associative property on a number line.

  10. Simplify the following expressions: -6 ∙( 2 ∙ -1) (-6 ∙ 2) ∙ -1

  11. Determine whether the answers to the following problems are positive or negative without doing any arithmetic: • A) 1 ∙ -9 ∙ 7 • B) -4 ∙ -2 ∙ 6 • C) -5 ∙ -3 ∙ -8 • D) 7 ∙ 4 ∙ -2 • E) -3 ∙ 6 ∙ -5 ∙ -4 • F) -25 ∙ -3 ∙ -18 ∙ -64

  12. Count the number of times the sign changes as you multiply the following numbers. • -1 ∙ -1 ∙ 1 ∙ -1 ∙ 1 ∙ -1 ∙ 1 ∙ 1 ∙ -1 • What do you notice about the number of sign changes and the number of negative signs?

  13. Simplify the following expressions: 5 ∙ (-3 ∙ -7) and (5 ∙ -3) ∙ -7 (-4 ∙ -8) ∙ -3 and -4 ∙( -8 ∙ -3

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