Vocab Lesson 3–6 Lesson 3–5 Associative Property of Multiplication Commutative Property of Multiplication 3 × (4 × 6) = (3 × 4) × 6 3×6=6×3 Lesson 3–7 Lesson 3–1 decompose dividend 6 6×1=6 3×2=6 2×3=6 1×6=6 64 ÷ 8 = 8 Factors: 1, 2, 3, 6 Lesson 3–1 Lesson 3–1 divisor fact family 28 Copyright © The McGraw-Hill Companies, Inc. 3 )19 4 7 4 × 7 = 28, 7 × 4 = 28, 28 ÷ 7 = 4, 28 ÷ 4 = 7 Lesson 3–1 Lesson 3–5 factor 2 2 2×2=4 Identity Property of Multiplication 1 × 10 = 10 10 × 1 = 10 Ideas for Use • Design a crossword puzzle. Use the definition for each word as the clues. • Use the blank cards to write your own vocabulary cards. The order in which two numbers are multiplied does not change the product. The grouping of the factors does not change the product. How is this property different from the Associative Property of Multiplication? How is this property like the Associative Property of Addition? A number that is being divided. To break apart a number. Write the words from this set of cards that are related to dividend. Decompose is a multiple-meaning word. Use another meaning of decompose in a sentence. A group of related facts using the same numbers. The number by which the dividend is being divided. How can you remember that a fact family uses the same 3 numbers? The suffix -or means “a thing that does the action”. Write how divisor does the action in division. When any number is multiplied by 1, the product is that number. A number that divides a whole number evenly. Also, a number that is multiplied by another number. Look in the dictionary for a meaning of identity. Write a sentence using that meaning. How can factors help you solve multiplication and division problems? Copyright © The McGraw-Hill Companies, Inc. • Group 2 or 3 common words. Add a word that is unrelated to the group. Then work with a friend to name the unrelated word. Vocab Lesson 3–7 Lesson 3–1 multiple product 4 multiples of 8: 0, 8, 16, 24, 32... 0×8 1×8 2×8 3×8 Lesson 3–1 3 4×8 3 × 4 = 12 Lesson 3–2 quotient 15 ÷ 3 = 5 repeated subtraction -2 -2 -2 -2 -2 0 1 2 3 4 5 6 7 8 9 10 Lesson 3–5 Zero Property of Multiplication Copyright © The McGraw-Hill Companies, Inc. 12 × 0 = 0 3×0=0 Ideas for Use • Group 2 or 3 common words. Add a word that is unrelated to the group. Then work with a friend to name the unrelated word. The answer to a multiplication problem. Product is a multiple-meaning word. Use another meaning of product in a sentence. Subtraction of the same subtrahend over and over again. • Design a crossword puzzle. Use the definition for each word as the clues. • Use the blank cards to write your own vocabulary cards. A multiple of a number is the product of that number and a whole number. Write a clue to help you remember that multiples are used in multiplication. The answer to a division problem. Write a division equation whose quotient is 4. If repeated addition is a way of doing multiplication, what is repeated subtraction? When any number is multiplied by 0, the product is 0. Copyright © The McGraw-Hill Companies, Inc. Write a tip to help you remember this property.