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MiscMiscMental MathMental Math

MiscMiscMental MathMental Math

Math 170 – Chapter 3 and 4Math 170 – Chapter 3 and 4

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FINAL

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Addition

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10 Point Question10 Point Question

Sketch which base 5 pieces Sketch which base 5 pieces you would need to represent you would need to represent

1023102355??

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Rewrite 3+(2+6) using only Rewrite 3+(2+6) using only the commutative property of the commutative property of

addition once.addition once.

20 Point Question20 Point Question

Use only the associative Use only the associative property of addition to property of addition to

rewrite 3+(6+2).rewrite 3+(6+2).

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30 Point Question30 Point Question

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40 Point Question40 Point Question

Add the following:Add the following:2332335 5 +143+14355

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Explain how to mentally Explain how to mentally compute 237 + 140 + 23compute 237 + 140 + 23

50 Point Question50 Point Question

Subtraction

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Two models for subtraction Two models for subtraction are the comparison concept are the comparison concept

and the missing addend and the missing addend concept. What is the third concept. What is the third

model?model?

10 Point Question10 Point Question

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20 Point Question20 Point Question

Show, with base-5 pieces 21Show, with base-5 pieces 2155 – 14 – 1455..

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30 Point Question30 Point Question

Harry has $2500 in cash to pay for a Harry has $2500 in cash to pay for a secondhand car, or he can pay $500 down secondhand car, or he can pay $500 down

and $115 per month for 2 years. If he doesn’t and $115 per month for 2 years. If he doesn’t pay the full amount in cash, he can invest the pay the full amount in cash, he can invest the difference and make $150. How much money difference and make $150. How much money will he lose if he chooses the more expensive will he lose if he chooses the more expensive

option?option?

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How can the comparison model for How can the comparison model for subtraction be used to compute 34 – 29?subtraction be used to compute 34 – 29?

40 Point Question40 Point Question

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How does the take away model for How does the take away model for subtraction apply to the problem 43-12?subtraction apply to the problem 43-12?

50 Point Question50 Point Question

Multiplication

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Which property of multiplication is Which property of multiplication is illustrated below?illustrated below?

11..a = aa = a..1 = a1 = a

10 Point Question10 Point Question

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Find the product 13Find the product 1355 and and 323255

20 Point Question20 Point Question

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Draw an array showing 23 x Draw an array showing 23 x 14. How many squares are 14. How many squares are

enclosed?enclosed?

30 Point Question30 Point Question

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A store carries five styles of A store carries five styles of backpacks in four different sizes. The backpacks in four different sizes. The

customer also has a choice of two customer also has a choice of two different kinds of material. How many different kinds of material. How many

different choices does a customer different choices does a customer have?have?

40 Point Question40 Point Question

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Multiplying a 4 digit number by this Multiplying a 4 digit number by this number is easy: just write the 4 number is easy: just write the 4 digit number down twice in a row. digit number down twice in a row. What is the number?What is the number?

50 Point Question50 Point Question

Division

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10 Point Question10 Point Question

What are the three What are the three models for division?models for division?

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Sketch two ways to divide Sketch two ways to divide 48 by 8.48 by 8.

20 Point Question20 Point Question

Use sketches of base 5 pieces to show Use sketches of base 5 pieces to show 142142fivefive divided by 11 divided by 11fivefive..

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30 Point Question30 Point Question

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40 Point Question40 Point Question

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Evaluate 1440/12X10+18Evaluate 1440/12X10+18

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50 Point Question50 Point Question

Find the quotient of 4052 and 8. Find the quotient of 4052 and 8. (Using whole number division.)(Using whole number division.)

Mental Math

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Which two numbers are Which two numbers are compatible for addition?compatible for addition?

42, 37, 81, 55, 24, 3342, 37, 81, 55, 24, 33

10 Point Question10 Point Question

Explain how to do the Explain how to do the following problem using following problem using

mental math.mental math.21X36 + 21X6421X36 + 21X64

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20 Point Question20 Point Question

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30 Point Question30 Point Question

Use the range method to Use the range method to get estimates for get estimates for

236+153.236+153.

Explain how to use the Explain how to use the compensation method to find compensation method to find

248+296.248+296.

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40 Point Question40 Point Question

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Final QuestionFinal QuestionIn the standard multiplication algorithm, why do we In the standard multiplication algorithm, why do we

“shift over one to the left” as illustrated in the 642 in “shift over one to the left” as illustrated in the 642 in the following problem?the following problem?

321321X 23X 23963963

+642+642