Question 1

Rewrite as a numeral.&#10;Four hundred thirty-five ten-thousandths&#10;A)0.00435&#10;B)435.010&#10;C)0.0435&#10;D)0.000435

Accepted Answer

C

Question 2

Rewrite the following in its equivalent decimal form.&#10;

Accepted Answer

$1 \cdot 10^{-2}$ is equivalent to $0.01$ and $6 \cdot 10^{-3}$ is equivalent to $0.006$. Adding these together gives $0.016$.

Question 3

Rewrite as a numeral.&#10;Seven hundred thousand and ninety-five ten-thousandths&#10;A)700,095&#10;B)700,000.0095&#10;C)700,095.0001&#10;D)795,000

Accepted Answer

The phrase "seven hundred thousand" translates to 700,000, and "ninety-five ten-thousandths" translates to 0.0095 when written as a decimal. Combining these gives 700,000.0095.

Question 4

Rewrite the following in its equivalent decimal form.&#10;

Accepted Answer

The given expression can be rewritten in decimal form by placing each term according to its power of 10. $2 \cdot 10^{-1}$ is 0.2, $4 \cdot 10^{-4}$ is 0.0004, $9 \cdot 10^{-5}$ is 0.00009, and $9 \cdot 10^{-6}$ is 0.000009. Adding these together gives 0.200499.

Question 5

Rewrite as a numeral.&#10;Six hundred twenty-eight millionths&#10;A)0.000628&#10;B)288,000,000&#10;C)200.000088&#10;D)0.00288

Accepted Answer

Six hundred twenty-eight millionths is written as 0.000628, where "millionths" indicates six places after the decimal point.

Question 6

&#10;0.386

Accepted Answer

The answer of  &#10;0.386  ...

Question 7

Write the following as a sum using powers of 10 to show place value.&#10;0.300398

Accepted Answer

The correct representation of 0.300398 using powers of 10 for each digit according to their place value is $0 \cdot 10 ^ { 0 }$ for the units place (which is 0 in this case), followed by $3 \cdot 10 ^ { - 1 }$ for the tenths place, $0 \cdot 10 ^ { - 2 }$ for the hundredths place, $0 \cdot 10 ^ { - 3 }$ for the thousandths place, $3 \cdot 10 ^ { - 4 }$ for the ten-thousandths place, $9 \cdot 10 ^ { - 5 }$ for the hundred-thousandths place, and $8 \cdot 10 ^ { - 6 }$ for the millionths place.

Question 8

Rewrite as a numeral.&#10;Two and twenty-two ten-thousandths&#10;A)2.000022&#10;B)0.2022&#10;C)2.0022&#10;D)0.0222

Accepted Answer

The numeral "two and twenty-two ten-thousandths" is written as 2.0022, where 2 represents the whole number and 0.0022 represents the fractional part (22 ten-thousandths).

Question 9

Write the following as a sum using powers of 10 to show place value.&#10;6.000622

Accepted Answer

The number 6.000622 can be expressed as $6 \cdot 10 ^ { 0 }$ for the whole number part, and the decimal part as $6 \cdot 10 ^ { - 4 } + 2 \cdot 10 ^ { - 5 } + 2 \cdot 10 ^ { - 6 }$.

Question 10

Rewrite the following in its equivalent decimal form.&#10;

Accepted Answer

The given expression can be rewritten in decimal form by placing each term according to its power of 10. The term $2$ is in the ones place, $7 \cdot 10^{-4}$ is in the ten-thousandths place, $3 \cdot 10^{-5}$ is in the hundred-thousandths place, and $7 \cdot 10^{-6}$ is in the millionths place. Therefore, the decimal equivalent is $2.000737$.

Question 11

Write the following as a sum using powers of 10 to show place value.&#10;0.027

Accepted Answer

The answer of Write the following as a sum using...

Question 12

&#10;0.02

Accepted Answer

The answer of  &#10;0.02  ...

Question 13

Rewrite the following in its equivalent decimal form.&#10;

Accepted Answer

The answer of Rewrite the following in its equivalent decimal...

Question 14

Rewrite as a numeral.&#10;Six hundred eighty-four thousandths&#10;A)0.0684&#10;B)680.004&#10;C)0.684&#10;D)684,000

Accepted Answer

The answer of Rewrite as a numeral.&#10;Six hundred eighty-four thousandths&#10;A)0.0684&#10;B)680.004&#10;C)0.684&#10;D)684,000...

Question 15

Write the following as a sum using powers of 10 to show place value.&#10;472.8002

Accepted Answer

The answer of Write the following as a sum using...

Question 16

Rewrite as a numeral.&#10;Fifty-nine hundredths&#10;A)5900&#10;B)0.59&#10;C)5.09&#10;D)0.0059

Accepted Answer

The answer of Rewrite as a numeral.&#10;Fifty-nine hundredths&#10;A)5900&#10;B)0.59&#10;C)5.09&#10;D)0.0059...

Question 17

Rewrite the following in its equivalent decimal form.&#10;

Accepted Answer

The answer of Rewrite the following in its equivalent decimal...

Question 18

Rewrite as a numeral.&#10;Six million and two tenths&#10;A)600,000.2&#10;B)6,000,020&#10;C)0.6000020&#10;D)6,000,000.2

Accepted Answer

The answer of Rewrite as a numeral.&#10;Six million and two...

Question 19

Rewrite as a numeral.&#10;Two thousand and twenty-five hundred-thousandths&#10;A)0.2025&#10;B)2000.0000025&#10;C)2000.025&#10;D)2000.00025

Accepted Answer

The answer of Rewrite as a numeral.&#10;Two thousand and twenty-five...

Question 20

Write the following as a sum using powers of 10 to show place value.&#10;540.81

Accepted Answer

The answer of Write the following as a sum using...

Question 21

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 22

Rewrite as a terminating decimal.&#10; &#10;A)0.0025&#10;B)2.90625&#10;C)0.00125&#10;D)0.58125

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.0025&#10;B)2.90625&#10;C)0.00125&#10;D)0.58125...

Question 23

Rewrite as a terminating decimal.&#10; &#10;A)0.771&#10;B)0.78&#10;C)0.74&#10;D)0.791

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.771&#10;B)0.78&#10;C)0.74&#10;D)0.791...

Question 24

Order the decimals from least to greatest.&#10;0.06, 0.02, 0.026, 0.062&#10;A)0.026, 0.062, 0.02, 0.06&#10;B)0.02, 0.026, 0.06, 0.062&#10;C)0.02, 0.06, 0.026, 0.062&#10;D)0.062, 0.026, 0.06, 0.02

Accepted Answer

The answer of Order the decimals from least to greatest.&#10;0.06,...

Question 25

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 26

Rewrite as a terminating decimal.&#10; &#10;A)0.65&#10;B)0.6&#10;C)0.5&#10;D)0.7

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.65&#10;B)0.6&#10;C)0.5&#10;D)0.7...

Question 27

&#10;6.95

Accepted Answer

The answer of  &#10;6.95  ...

Question 28

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 29

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 30

Rewrite as a terminating decimal.&#10; &#10;A)0.32&#10;B)0.24&#10;C)0.12&#10;D)0.38

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.32&#10;B)0.24&#10;C)0.12&#10;D)0.38...

Question 31

Rewrite as a terminating decimal.&#10; &#10;A)0.485&#10;B)0.435&#10;C)0.375&#10;D)0.475

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.485&#10;B)0.435&#10;C)0.375&#10;D)0.475...

Question 32

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 33

Rewrite as a terminating decimal.&#10; &#10;A)0.00032&#10;B)0.1088&#10;C)0.2176&#10;D)0.02176

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.00032&#10;B)0.1088&#10;C)0.2176&#10;D)0.02176...

Question 34

Rewrite as a terminating decimal.&#10; &#10;A)0.313&#10;B)0.3225&#10;C)0.2125&#10;D)0.3125

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.313&#10;B)0.3225&#10;C)0.2125&#10;D)0.3125...

Question 35

&#10;11.25

Accepted Answer

The answer of  &#10;11.25  ...

Question 36

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 37

Mentally determine if the number can be written as a terminating decimal&#10;

Accepted Answer

The answer of Mentally determine if the number can be...

Question 38

Order the decimals from least to greatest.
0.081, 0.018, 0.011, 0.088

A)0.011, 0.081, 0.018, 0.088
B)0.011, 0.088, 0.018, 0.081
C)0.011, 0.018, 0.081, 0.088
D)0.088, 0.081, 0.018, 0.011

Accepted Answer

The answer of Order the decimals from least to greatest.&#10;0.081,...

Question 39

Rewrite as a terminating decimal.&#10; &#10;A)0.865&#10;B)0.765&#10;C)0.875&#10;D)0.965

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.865&#10;B)0.765&#10;C)0.875&#10;D)0.965...

Question 40

Rewrite as a terminating decimal.&#10; &#10;A)0.836&#10;B)0.916&#10;C)0.816&#10;D)0.766

Accepted Answer

The answer of Rewrite as a terminating decimal.&#10; &#10;A)0.836&#10;B)0.916&#10;C)0.816&#10;D)0.766...

Question 41

A grocer sold 27 bags of potatoes for $1.55 each. What was the total amount of the sale?&#10;A)$41.95&#10;B)$41.86&#10;C)$41.85&#10;D)$42.95

Accepted Answer

The answer of A grocer sold 27 bags of potatoes...

Question 42

Dana and Sara went shopping. Dana spent $272.32 and Sara spent $16.29. How much more did Dana spend than Sara?&#10;A)$288.61&#10;B)$288.32&#10;C)$256.03&#10;D)$256.32

Accepted Answer

The answer of Dana and Sara went shopping. Dana spent...

Question 43

Jennifer has $661.53 in her savings account. If she withdraws $55.96, what is the new balance in her account?&#10;A)$716.53&#10;B)$605.57&#10;C)$606.53&#10;D)$717.49

Accepted Answer

The answer of Jennifer has $661.53 in her savings account....

Question 44

The distance from the downtown station to the last stop on a commuter railroad line is 46.8 miles. The distance between stops is about 3.9 miles. How many stops are there?&#10;A)11 stops&#10;B)13 stops&#10;C)6 stops&#10;D)12 stops

Accepted Answer

The answer of The distance from the downtown station to...

Question 45

It took three assembly-line workers 7.25 seconds, 7.495 seconds, and 6.7 seconds to assemble a product. How many seconds in all did they work?&#10;A)6.945 sec.&#10;B)21.445 sec.&#10;C)14.745 sec.&#10;D)13.95 sec.

Accepted Answer

The answer of It took three assembly-line workers 7.25 seconds,...

Question 46

If the list price is $41.85 and if $7.37 is saved by buying from a discount catalog, what is the discount price for the item?&#10;A)$34.48&#10;B)$49.22&#10;C)$48.22&#10;D)$34.58

Accepted Answer

The answer of If the list price is $41.85 and...

Question 47

The pharmacist mixed 7.53 grams of one drug with 3.618 grams of another drug. What was the weight of the mixture?&#10;A)7.236 g&#10;B)15.06 g&#10;C)11.148 g&#10;D)12.248 g

Accepted Answer

The answer of The pharmacist mixed 7.53 grams of one...

Question 48

Ray's gross pay is $326.73 a week. $46 is withheld for federal income tax, $24.54 for FICA tax, and $11.44 for other deductions. Find his net pay.&#10;A)$81.98&#10;B)$244.75&#10;C)$234.75&#10;D)$408.71

Accepted Answer

The answer of Ray's gross pay is $326.73 a week....

Question 49

A stockbroker sold 50 shares of stock for $12.95 each. What was the total amount of the sale?&#10;A)$647.50&#10;B)$647.40&#10;C)$647.61&#10;D)$647.60

Accepted Answer

The answer of A stockbroker sold 50 shares of stock...

Question 50

Anna spent $53.69 on a pair of shoes and $79.30 on a new jacket. How much money did she spend all together?&#10;A)$132&#10;B)$158.6&#10;C)$132.99&#10;D)$130.99

Accepted Answer

The answer of Anna spent $53.69 on a pair of...

Question 51

John earns $9.51 per hour. If he works 13 hours, how much will he earn?&#10;A)$123.64&#10;B)$123.63&#10;C)$123.73&#10;D)$124.73

Accepted Answer

The answer of John earns $9.51 per hour. If he...

Question 52

Will has $724.03 in his checking account. If he deposits $101.18, what is the new balance in his account?&#10;A)$825&#10;B)$622.85003&#10;C)$823.21&#10;D)$825.21

Accepted Answer

The answer of Will has $724.03 in his checking account....

Question 53

How much money is saved at a $51.94 discount price rather than a $75.31 list price?&#10;A)$23.37&#10;B)$24.37&#10;C)$24.47&#10;D)$23.47

Accepted Answer

The answer of How much money is saved at a...

Question 54

Order the decimals from least to greatest.&#10;5.24, 4.69, 4.96, 5.42&#10;A)4.69, 4.96, 5.24, 5.42&#10;B)4.96, 4.69, 5.42, 5.24&#10;C)5.42, 5.24, 4.96, 4.69&#10;D)4.69, 5.24, 4.96, 5.42

Accepted Answer

The answer of Order the decimals from least to greatest.&#10;5.24,...

Question 55

A grocer sold 49 melons for $1.52 each. What was the total amount of the sale?&#10;A)$74.58&#10;B)$74.49&#10;C)$75.58&#10;D)$74.48

Accepted Answer

The answer of A grocer sold 49 melons for $1.52...

Question 56

Order the decimals from least to greatest.
0.081, 0.018, 0.011, 0.088

A)0.011, 0.081, 0.018, 0.088
B)0.011, 0.088, 0.018, 0.081
C)0.011, 0.018, 0.081, 0.088
D)0.088, 0.081, 0.018, 0.011

Accepted Answer

The answer of Order the decimals from least to greatest.&#10;2.854,...

Question 57

A bakery sold 38 pies for $3.82 each. What was the total amount of the sale?&#10;A)$145.17&#10;B)$145.16&#10;C)$146.26&#10;D)$145.26

Accepted Answer

The answer of A bakery sold 38 pies for $3.82...

Question 58

Order the decimals from least to greatest.&#10;3.09, 3.9, 3.099, 3.999&#10;A)3.999, 3.9, 3.099, 3.09&#10;B)3.09, 3.099, 3.9, 3.999&#10;C)3.099, 3.09, 3.999, 3.9&#10;D)3.09, 3.9, 3.099, 3.999

Accepted Answer

The answer of Order the decimals from least to greatest.&#10;3.09,...

Question 59

Edwin has a board that is 9.2 feet long. He wants to cut the board into pieces that are 2.3 feet long. How many 2.3-foot pieces will he get from the large board?&#10;A)40 pieces&#10;B)4 pieces&#10;C)5 pieces&#10;D)3 pieces

Accepted Answer

The answer of Edwin has a board that is 9.2...

Question 60

Evelyn measured two rooms of her apartment and found that she needed 13.1 square meters of wallpaper for one room and 72.4 square meters for the other. How much wallpaper did she need?

Accepted Answer

The answer of Evelyn measured two rooms of her apartment...

Question 61

June has a strip of paper 27.2 inches long. She wants to cut it into strips that are 6.8 inches long. How many 6.8-inch strips will she get?&#10;A)40 pieces&#10;B)5 pieces&#10;C)3 pieces&#10;D)4 pieces

Accepted Answer

The answer of June has a strip of paper 27.2...

Question 62

Jessie has a ribbon that is 10.8 yards long. He wants to cut it into pieces that are 1.2 yards long. How many 1.2-yard pieces will he get from the ribbon?&#10;A)90 pieces&#10;B)9 pieces&#10;C)10 pieces&#10;D)8 pieces

Accepted Answer

The answer of Jessie has a ribbon that is 10.8...

Question 63

Jake has a cable that is 51 feet long. He wants to cut it into pieces that are 8.5 feet long. How many 8.5-foot pieces will he get from the cable?&#10;A)60 pieces&#10;B)5 pieces&#10;C)7 pieces&#10;D)6 pieces

Accepted Answer

The answer of Jake has a cable that is 51...

Question 64

Rewrite the number or expression as requested.&#10;  (Rewrite as a standard numeral.)&#10;A) 864,000&#10;B)  8,640,000 &#10;C) 432&#10;D) 86,400

Accepted Answer

The answer of Rewrite the number or expression as requested.&#10;...

Deck 7: Rational Numbers As Decimals and Percents