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For problem 1-10, use number sense to multiply. This means you have to look at the factors and then decide how to proceed to multiply the numbers. Share your strategy with another student. Compare your strategies. 1. 15.20 2. 11.42 3. 18-17

For problem 1-10, use number sense to multiply. This means you have to look at the factors and then decide how to proceed to multiply the numbers. Share your strategy with another student. Compare your strategies. 1. 15.20 2. 11.42 3. 18-17

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer questions 1-10 using number sense to multiple
Properties of multiplication give students an early way to determine products such as 6+7 or 7.19 before they learn the standard multiplication algorithm. Properties of whole numbers also provide the foundation for number sense, estimation skills, and algebra. a. The commutative property of multiplication is useful for early learning of multiplying by 2 and 5, since students are familiar with doubling and counting by fives. For example, 7.2 =2.7=14 (double: 7, 14) and 5.3= 3.5 = 15 (count by fives: 5, 10, 15). b. The associative property of multiplication is useful for simplifying some caleculations. For example, 25-12 = 25• (4 - 3) = (25 - 4) - 3 = 100 - 3 = 300. c. The distributive property of multiplication over addition is useful for finding some products using known multiplication facts. For example, 8 -12 = 8• (10+2) = 8 • 10 + 8 + 2 = 80 + 16 =96 and 12-8= (10 + 2)•8 = 10 •8+2 •8 = 80 + 16 = 96 . This property forms the basis for the standard algorithm for multiplication. d. The distributive property of multiplication over subtraction is useful for finding some products using known multiplication facts. For example, 15-9 =15-(10–-1) =15+10–15-1=150-15=135. e. The properties form the basis for simplifying algebraic expressions. For example, we know 3a + Sa = 8a . Here's why: 3a + Sa = (3 + 5)a = 8a , because we applied the distributive property of multiplication over addition. For problem 1-10, use number sense to multiply. This means you have to look at the factors and then decide how to proceed to multiply the numbers. Share your strategy with another student. Compare your strategies. 1. 15.20 2. 11.42 3. 18.17 4. 35.95 5. 60- 40 = 6. 65.18 7. 20-45 8. 567.2 9. 25.24 10. 4.27
Transcribed Image Text:Properties of multiplication give students an early way to determine products such as 6+7 or 7.19 before they learn the standard multiplication algorithm. Properties of whole numbers also provide the foundation for number sense, estimation skills, and algebra. a. The commutative property of multiplication is useful for early learning of multiplying by 2 and 5, since students are familiar with doubling and counting by fives. For example, 7.2 =2.7=14 (double: 7, 14) and 5.3= 3.5 = 15 (count by fives: 5, 10, 15). b. The associative property of multiplication is useful for simplifying some caleculations. For example, 25-12 = 25• (4 - 3) = (25 - 4) - 3 = 100 - 3 = 300. c. The distributive property of multiplication over addition is useful for finding some products using known multiplication facts. For example, 8 -12 = 8• (10+2) = 8 • 10 + 8 + 2 = 80 + 16 =96 and 12-8= (10 + 2)•8 = 10 •8+2 •8 = 80 + 16 = 96 . This property forms the basis for the standard algorithm for multiplication. d. The distributive property of multiplication over subtraction is useful for finding some products using known multiplication facts. For example, 15-9 =15-(10–-1) =15+10–15-1=150-15=135. e. The properties form the basis for simplifying algebraic expressions. For example, we know 3a + Sa = 8a . Here's why: 3a + Sa = (3 + 5)a = 8a , because we applied the distributive property of multiplication over addition. For problem 1-10, use number sense to multiply. This means you have to look at the factors and then decide how to proceed to multiply the numbers. Share your strategy with another student. Compare your strategies. 1. 15.20 2. 11.42 3. 18.17 4. 35.95 5. 60- 40 = 6. 65.18 7. 20-45 8. 567.2 9. 25.24 10. 4.27
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