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Objective:

Learn how to apply the distributive property with step-by-step examples and practice problems to improve mental math skills. Explore real-world scenarios for a practical understanding.

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Objective:

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  1. Objective: Rewrite each expression using the distributive property (4-2).

  2. Vocabulary: • Distributive property- the distributive property allows you to solve problems in parts. A(b+c) = ab + ac.

  3. Steps: • Read all directions!!!! • Write the problem. • Multiply the outside # by the 1st # in parenthesis. • Multiply the outside # by the 2nd # in parenthesis. • Last, add the two together.

  4. Examples Find 6x45 mentally by using the distributive property. Estimate 6x50=300

  5. Examples Find 6x45 mentally by using the distributive property. Estimate 6x50=300 6x45=6(40+5) use 40+5 for 45

  6. Examples Find 6x45 mentally by using the distributive property. Estimate 6x50=300 6x45=6(40+5) use 40+5 for 45 =6x40+6x5

  7. Examples Find 6x45 mentally by using the distributive property. Estimate 6x50=300 6x45=6(40+5) use 40+5 for 45 =6x40+6x5 =240+30

  8. Examples Find 6x45 mentally by using the distributive property. Estimate 6x50=300 6x45=6(40+5) use 40+5 for 45 =6x40+6x5 =240+30 =270 compare to the estimate

  9. Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly? Estimate 80x$0.20=$16

  10. Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly? Estimate 80x$0.20=$16 80x0.18 = 80(0.1+0.08) use 0.1+0.08 for 1.8

  11. Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly? Estimate 80x$0.20=$16 80x0.18 = 80(0.1+0.08) use 0.1+0.08 for 1.8 = 80x0.1+80x0.08

  12. Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly? Estimate 80x$0.20=$16 80x0.18 = 80(0.1+0.08) use 0.1+0.08 for 1.8 = 80x0.1+80x0.08 = 8+6.4

  13. Adria has a paper route to earn some extra money. She earns $0.18 per customer per week. If she has 80 customers, how much does she make weekly? Estimate 80x$0.20=$16 80x0.18 = 80(0.1+0.08) use 0.1+0.08 for 1.8 = 80x0.1+80x0.08 = 8+6.4 = 14.4 Adria will make $14.40. Compare to the estimate

  14. Guided Practice Find each product mentally. Use the distributive property. • 8x18 • 52x3 • 6.4x5

  15. 8x18 Estimate 8x20=160 8x18=8(10+8) =8x10+8x8 = 80+64 = 144 • 52x3 Estimate 50x3=150 52x3=3x52 commutative property 3x52=3(50+2) =3x50+3x2 =150+6 = 156

  16. 6.4x5 Estimate 6x5=30 6.4x5=5x6.4 commutative property 5x6.4=5(6+0.4) =5x6+5x0.4 =30+2 =32

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