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# Double digit multiplication turning point

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### Double digit multiplication turning point

1. 1. 5 th Grade Two digit Multiplication Multiplication
2. 2. Multiplication Properties <ul><li>Commutative Property </li></ul><ul><ul><li>When two numbers are multiplied together, the answer is the same regardless of the order. 4 x 2 = 2 x 4 </li></ul></ul><ul><li>Distributive Property </li></ul><ul><ul><li>The sum of two numbers times a third is the same as first multiplying the separate numbers by the number originally multiplied and then adding them. 4 x (6 + 3) = 4 x 6 + 4 x 3 </li></ul></ul><ul><li>Associative Property </li></ul><ul><ul><li>When three or more numbers are multiplied, the product is the same regardless of how you group the factors. (2 x 3) x 4 = 2 x (3 x 4) </li></ul></ul><ul><li>Identity Property </li></ul><ul><ul><li>The product of any number and one is that number. 5 x 1 = 5. </li></ul></ul>
3. 4. Multiplication Properties Practice <ul><li>9 x 8 = 8 x 9 </li></ul><ul><li>Commutative Property! </li></ul>
4. 5. Multiplication Properties Practice <ul><li>(1 x 10) x 1 = 1 x (10 x 1) </li></ul><ul><li>Associative Property! </li></ul>
5. 6. Multiplication Properties Practice <ul><li>6 x (11 + 12) = 6 x 11 + 6 x 12 </li></ul><ul><li>Distributive Property! </li></ul>
6. 7. Multiplication Properties Practice <ul><li>2 x 8 = 8 x 2 </li></ul><ul><li>Commutative Property! </li></ul>
7. 8. Multiplication Properties Practice <ul><li>534 x 1 = 534 </li></ul><ul><li>Identity Property! </li></ul>
8. 9. Estimating /Rounding <ul><li>As Tyler said yesterday, “make your problem easier!” </li></ul><ul><ul><li>There are no set rules to rounding </li></ul></ul><ul><ul><li>The goal is to make the problem easy enough for you to do it in your head! </li></ul></ul>
9. 10. Rounding Practice <ul><li>283 </li></ul><ul><li>X 46 </li></ul>
10. 11. Rounding Practice <ul><li>\$ 78.02 </li></ul><ul><li>X \$0.67 </li></ul>
11. 12. What is the product of 4 X 60? <ul><li>24 </li></ul><ul><li>10 </li></ul><ul><li>240 </li></ul><ul><li>100 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
12. 13. What is the product of 8 x 214? <ul><li>1,600 </li></ul><ul><li>1,712 </li></ul><ul><li>32 </li></ul><ul><li>2,000 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
13. 14. Estimate by Rounding: What is 68 x 45? <ul><li>2,700 </li></ul><ul><li>2,400 </li></ul><ul><li>3,060 </li></ul><ul><li>3,500 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
14. 15. Estimate by Rounding: What is the product of 18 x 92? <ul><li>1,800 </li></ul><ul><li>1,656 </li></ul><ul><li>162 </li></ul><ul><li>110 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
15. 16. Identify the multiplication property: 12 x (5 x 7) = (12 x 5) x 7? <ul><li>Identity </li></ul><ul><li>Commutative </li></ul><ul><li>Product </li></ul><ul><li>Associative </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
16. 17. Identify the multiplication property: 71 x 43 x 95 = 43 x 95 x 71 <ul><li>Identity </li></ul><ul><li>Commutative </li></ul><ul><li>Product </li></ul><ul><li>Associative </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
17. 18. Identify the multiplication property: 271 x 1 = 271 <ul><li>Commutative </li></ul><ul><li>Identity </li></ul><ul><li>Product </li></ul><ul><li>Associative </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
18. 19. Val bought 12 DVDs at \$18 each. Estimate the total cost of the DVDs. <ul><li>\$240 </li></ul><ul><li>\$200 </li></ul><ul><li>\$36 </li></ul><ul><li>\$12 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
19. 20. Matilda earns \$11 an hour for babysitting. How much will she earn in 3 weeks if she babysits 15 hours each week? <ul><li>\$45 </li></ul><ul><li>\$33 </li></ul><ul><li>\$165 </li></ul><ul><li>\$495 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
20. 21. Grace completed practice math problems for 1.5 hours a day every day this week. She solved 8 problems an hour, how many problems did she complete? <ul><li>8 </li></ul><ul><li>12 </li></ul><ul><li>84 </li></ul><ul><li>27 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
21. 22. Grapefruits cost \$2.49 per pound. If Jenny bought 7 pounds of grapefruit at the market this morning, about how much did it cost? <ul><li>\$7.00 </li></ul><ul><li>\$17.43 </li></ul><ul><li>\$2.49 </li></ul><ul><li>\$17.50 </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
22. 23. Which answer means, “the answer to a multiplication problem”? <ul><li>Distributive Property </li></ul><ul><li>Factor </li></ul><ul><li>Associative property </li></ul><ul><li>Product </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
23. 24. Which answer is, “the property which states that the grouping of the factors does not change the product”. <ul><li>Distributive Property </li></ul><ul><li>Factor </li></ul><ul><li>Associative Property </li></ul><ul><li>Product </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
24. 25. Which answer means: “a number that divides into a whole number evenly. Also, a number that is multiplied by another number” . <ul><li>Product </li></ul><ul><li>Associative Property </li></ul><ul><li>Factor </li></ul><ul><li>Distributive Property </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
25. 26. Which word is, “the property that states that to multiply a sum by a number, you can multiply each addend by the same number and add the products” ? <ul><li>Factor </li></ul><ul><li>Associative Property </li></ul><ul><li>Distributive Property </li></ul><ul><li>Product </li></ul>1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30