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MTH 213 Week 2 Checkpoint

Write a related addition sentence.

1414minus−yyequals=nbsp 9 9

A related addition sentence

is

y plus 9 equals 14 y+9=14.

(Type the equation without blank spaces.)

What multiplication is suggested by each of the models below?

Bold left parenthesis a right parenthesis(a)

Three circles are in a row. Each circle contains 5 stars.

3 times 5 equals 153•5=15 (Type an equation.)

Bold left parenthesis b right parenthesis(b)

A rectangle is made up of identical squares arranged in 8 rows and 6 columns without gaps.

8 times 6 equals 488•6=48 (Type an equation.)

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In each of the following, tell which computation should be done last.

I. 77(16minus−55)minus−18

III. (14minus−77)plus+(4 times •55)

II. 54/(10minus−77plus+55)

IV. 720/6060plus+8

Which computation should be done last in 77(16minus−55)minus−18?

A.

Multiply by 7.Multiply by 7.

B.

Subtract 5.Subtract 5.

C.

Subtract 18.

Your answer is correct.

Which computation should be done last in 54/(10minus−77plus+55)?

A.

Determine 10 minus 7 plus 5.Determine 10−7+5.

B.

Add 5.Add 5.

C.

Divide 54 by 8.Divide 54 by 8.

Your answer is correct.

Which computation should be done last in (14minus−77)plus+(4 times •55)?

A.

Subtract 7 from 14.Subtract 7 from 14.

B.

Add 7 and 20.Add 7 and 20.

Your answer is correct.C.

Multiply by 5.Multiply by 5.

Which computation should be done last in 720/6060plus+8?

A.

Divide 720 by 60.Divide 720 by 60.

B.

Add 8.

Your answer is correct.C.

Add 60 to 8.

Find the GCD and the LCM for each of the following groups of numbers using the intersection-of-sets method.

Bold a. 18 and 12a. 18 and 12

Bold b. 28 and 36b. 28 and 36

Bold c. 8 comma 24 comma and 64c. 8, 24, and 64

Bold d. 11 and 4d. 11 and 4

a.

GCD(1818,1212)equals=

66

LCM(1818,1212)equals=

3636

b.

GCD(2828,3636)equals=

44

LCM(2828,3636)equals=

252252

c.

GCD(88,2424,6464)equals=

88

LCM(88,2424,6464)equals=

192192

d.

GCD(1111,44)equals=

11

LCM(1111,44)equals=

44

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Test whether the number 187187 is prime.

Is 187187 prime?

NoNo

Your answer is correct.

Yes

Suppose you had a balance of $23202320 in your checking account and wrote checks for $5858, $225225, $416416 and $527527. Estimate the four check amounts and the beginning balance to the nearest hundred to estimate the new balance.

The estimate of the new balance is $

11001100.

Classify each of the following as true or false. Complete parts a through e below.

a. If a number is divisible by 66, then it is divisible by 22 and 33.

This statement is

true.

b. If a number is divisible by 22 and 33, then it is divisible by 66.

This statement is

true.

c. If a number is divisible by 33 and 66, then it is divisible by 1212.

This statement is

false.

d. If a number is divisible by 1212, then it is divisible by 33 and 66.

This statement is

true.

e. A number is divisible by 1212, if and only if, it is divisible by 33 and 66.

This statement is

false.

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Kobe has collected 750750 football cards and 660660 baseball cards. He wants to divide them into piles so that each pile has only one type of card, there is the same number of cards in each pile, and each pile has the greatest possible number of cards. How many cards will be in each pile?

There will be

3030 cards in each pile.

Rewrite each of the following as a base ten numeral.

a. 1 times 10 cubed plus 4 times 10 squared plus 3 times 101•103+4•102+3•10

b. 5 times 10 Superscript 6 Baseline plus 4 times 10 plus 35•106+4•10+3

a. 1 times 10 cubed plus 4 times 10 squared plus 3 times 101•103+4•102+3•10equals=

14301430 (Simplify your answer.)

b. 5 times 10 Superscript 6 Baseline plus 4 times 10 plus 35•106+4•10+3equals=

50000435000043 (Simplify your answer.)

Place parentheses, if needed, to make each of the following equations true.

a. 22plus+66 times •66equals=4848

c. 5plus+4plus+9 divided by ÷33equals=66

b. 3636 divided by ÷66plus+1equals=77

d. 5plus+6 divided by ÷2plus+66equals=1414

a. Choose the correct answer below.

A.

Parentheses are needed. The corrected equation is 2 plus left parenthesis 6 times 6 right parenthesis equals 482+(6•6)=48.

B.

Parentheses are needed. The corrected equation is left parenthesis 2 plus 6 times 6 right parenthesis equals 48(2+6•6)=48.

C.

Parentheses are needed. The corrected equation is left parenthesis 2 plus 6 right parenthesis times 6 equals 48(2+6)•6=48.

Your answer is correct.D.

Parentheses are not needed to make the equation true.

b. Choose the correct answer below.

A.

Parentheses are needed. The corrected equation is left parenthesis 36 divided by 6 right parenthesis plus 1 equals 7(36÷6)+1=7.

B.

Parentheses are needed. The corrected equation is left parenthesis 36 divided by 6 plus 1 right parenthesis equals 7(36÷6+1)=7.

C.

Parentheses are needed. The corrected equation is 36 divided by left parenthesis 6 plus 1 right parenthesis equals 736÷(6+1)=7.

D.

Parentheses are not needed to make the equation true.

Your answer is correct.

c. Choose the correct answer below.

A.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 4 plus 9 right parenthesis divided by 3 equals 6(5+4+9)÷3=6.

Your answer is correct.B.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 4 right parenthesis plus left parenthesis 9 divided by 3 right parenthesis equals 6(5+4)+(9÷3)=6.

C.

Parentheses are needed. The corrected equation is 5 plus left parenthesis 4 plus 9 right parenthesis divided by 3 equals 65+(4+9)÷3=6.

D.

Parentheses are not needed to make the equation true.

d. Choose the correct answer below.

A.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 6 right parenthesis divided by 2 plus 6 equals 14(5+6)÷2+6=14.

B.

Parentheses are needed. The corrected equation is 5 plus 6 divided by left parenthesis 2 plus 6 right parenthesis equals 145+6÷(2+6)=14.

C.

Parentheses are needed. The corrected equation is left parenthesis 5 plus 6 right parenthesis divided by left parenthesis 2 plus 6 right parenthesis equals 14(5+6)÷(2+6)=14.

D.

Parentheses are not needed to make the equation true.

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a. Fill in the missing numbers in the factor tree.

b. How could you find the top number without finding the other two numbers?

a. Fill in the missing numbers in the factor tree below.

150150

A short line segment rises from left to right.

A short line segment falls from left to right.

55

3030

A short line segment rises from left to right.

A short line segment falls from left to right.

55

66

A short line segment rises from left to right.

A short line segment falls from left to right.

33

22

b. Choose the correct answer below.

A.

Count the total number of divisors and then multiply that number by the largest prime factor.

B.

Find the sum of all four prime factors determined from the tree.

C.

Subtract the product of the prime factors from the product of the composite factors.

D.

Find the product of all four prime factors determined from the tree.

State the name of the property illustrated.

66plus+[55plus+(44)]equals=6 plus left bracket left parenthesis 4 right parenthesis plus 5 right bracket6+[(4)+5]

The expression is an example of which property?

A.

Associative property of additionAssociative property of addition

B.

Commutative property of additionCommutative property of addition

Your answer is correct.C.

Identity property of addition

A car trip took 88 hours at an average speed of 6868 mph. Mentally compute the total number of miles traveled.

What is the number of miles traveled?

544544 miles

Write the following numerals in words.

a. 828 comma 195 comma 210828,195,210

b. 84 comma 699 comma 234 comma 45884,699,234,458

a. The numeral 828 comma 195 comma 210828,195,210 in words is which of the following?

A.

eighteight hundred twentytwenty-eighteight billion, oneone hundred ninetyninety-fivefive million, twotwo hundred tenten

B.

eighteight hundred twentytwenty-eighteight billion, oneone hundred ninetyninety-fivefive thousand, twotwo hundred tenten

C.

eighteight hundred twentytwenty-eighteight million, oneone hundred ninetyninety-fivefive thousand, twotwo hundred tenten

Your answer is correct.D.

eighteight hundred twentytwenty-eighteight thousand, oneone hundred ninetyninety-fivefive, twotwo tenten

b. The numeral 84 comma 699 comma 234 comma 45884,699,234,458 in words is which of the following?

A.

eighty dash foureighty-four trillion, sixsix hundred ninetyninety-ninenine million, twotwo hundred thirtythirty-fourfour thousand, fourfour hundred fiftyfifty-eighteight

B.

eighty dash foureighty-four million, sixsix hundred ninetyninety-ninenine thousand, twotwo hundred thirtythirty-fourfour, fourfour fiftyfifty-eighteight

C.

eighty dash foureighty-four billion, sixsix hundred ninetyninety-ninenine million, twotwo hundred thirtythirty-fourfour thousand, fourfour hundred fiftyfifty-eighteight

Your answer is correct.D.

eighty dash foureighty-four million, sixsix hundred ninetyninety-ninenine billion, twotwo hundred thirtythirty-fourfour hundred, fourfour hundred fiftyfifty-eight

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Give reasons for each of the following steps. Use the given list of reasons on the right and enter the appropriate letter next to each step.

23 plus 56 equals23+56=

left parenthesis 2 times 10 plus 3 right parenthesis plus left parenthesis 5 times 10 plus 6 right parenthesis(2•10+3)+(5•10+6)

equals=

left parenthesis 2 times 10 plus 5 times 10 right parenthesis plus left parenthesis 3 plus 6 right parenthesis(2•10+5•10)+(3+6)

equals=

left parenthesis 2 plus 5 right parenthesis times 10 plus left parenthesis 3 plus 6 right parenthesis(2+5)•10+(3+6)

equals=

7 times 10 plus 97•10+9

equals=

79