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Homework Questions

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Clean off desk. Show all work. Homework Check

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Properties of Numbers Section 2.1

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1.I am able to identify properties of addition and multiplication. 2.I am able to use the properties to add and multiply numerical expressions mentally. Learning Targets

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Ice Scraping Video Why do we need to know the properties of numbers? Is this You?

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Changing the order of the values you are adding or multiplying does not change the sum or product. Commutative Property - NP Adding Multiplying

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Changing the grouping of the values you are adding or multiplying does not change the sum or product. Associative Property - NP Adding Multiplying

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The sum of any number and zero is the original number. The product of any number and 1 is the original number. Identity Property - NP

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When you add a number and 0, the sum equals the original number. The additive identity is 0. additive identity When you multiply a number and 1, the product equals the original number. The multiplicative identity is 1.multiplicative identity Identity Property - NP

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The product of any number and zero is zero. Multiplication Property of Zero

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17 + x + 3 = 17 + 3 + x ( 36 x 2) 10 = 36 ( 2 x 10) km = km 1 Identifying the Properties - NP

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Identifying the Properties 5 7 = 7 5 c 1 = c 7 + a = a + 7 5 (xy) = (5x) y

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Carlos rented a set of golf clubs for $7 and a golf cart for $12. He paid a greens fee of $23. Find his total cost. How can the properties make this problem work mentally? How it Works

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Real World Suppose you buy the school supplies shown at the left. Use mental math to find the cost of the supplies.

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Suppose you buy school supplies costing $.45, $.65, and $1.55. Use mental math to find the cost of these supplies. Example – Mental Math - NP

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(20 13) 5 Mental Math - NP

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Use mental math to simplify (81 + 6) + 9. Name the property used. Use mental math to simplify 6 + 7 + 14. Mental Math

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Use mental math to simplify 8 + 0 + 2 + (–7). Use mental math to simplify 5 + 12 + 18 + 5. Use mental math to simplify 19 + (–30) + 21. Practice

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You spend $6 for dinner, $8 for a movie, and $4 for popcorn. Find your total cost. Explain which property or properties you used. Practice – NP Quick Check

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Name the property shown: 3 + 6 = 6 + 3. Name the property shown: 8 = 1 · 8. Name the property shown: (3z)m = 3(zm). Quick Check - NP

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Use mental math to simplify (4 9) 5 Use mental math to simplify 25 · (3 · 4). Use mental math to simplify 3 · 1 · (–5) · 8. More Mental

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Use mental math to simplify 2(–8)(–15). Use mental math to simplify 5 · 9 · 6 · (–2) · (–1). More Mental

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Check 4 Understanding

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Practice 2.1 Homework

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