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SAT Math : Decimals

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Example Questions

Example Question #1 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the greatest?

Possible Answers:

$0.1^{2}$

$\frac{1}{0.1}$

0.1*2

$\frac{0.1}{2}$

0.1

Correct answer:

$\frac{1}{0.1}$

Explanation:

When evaluating, we look at each choice.

0.1^2=0.01

$\frac{1}{0.1}=10$

0.1=0.1

0.1*2=0.2

$\frac{0.1}{2}=0.05$

It seems like when dividing with a decimal, our value is greater. Therefore $\frac{1}{0.1}$ is our answer.

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Example Question #6 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which is the smallest?

Possible Answers:

$\frac{5}{0.245}$

0.245*3

0.245+0.245+0.00000003

0.245^2

$\frac{0.245}{5}$

Correct answer:

$\frac{0.245}{5}$

Explanation:

When evaluating, we look at each choice.

.245^2=0.060025

$\frac{.245}{5}=.049$

.245*3=.735

.245+.245+.00000003=.49000003

$\frac{5}{.245}=20.41$

Our answer is $\frac{.245}{5}$ being the smallest.

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Example Question #7 : How To Order Decimals From Least To Greatest Or From Greatest To Least

If is from 0<x<1 which is the greatest?

Possible Answers:

x^2

x^3

x-5

Correct answer:

Explanation:

The numbers are from to . This means the values are decimals and will be small if raised to any power but greater when multiplied or added.

Ex: 0.1^3=0.001 vs 0.1^2=0.01 vs 2*0.1=0.2

Our answer is going to be .

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Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

If is from -1<x<0 , which of the following is the greatest?

Possible Answers:

x^3

x^2

x-5

Correct answer:

x^2

Explanation:

Since the range is from to , we have negative decimals. We need to see if any operations will generate positive decimals. Only x^2 does that as two negatives becomes positive when multiplied.

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Example Question #12 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Rank from smallest to greatest.

0.25, 0.54, 0.48, 0.35, 0.21

Possible Answers:

0.48, 0.54, 0.24, 0.21, 0.35

0.25, 0.54, 0.48, 0.35, 0.21

0.21, 0.24, 0.35, 0.48, 0.54

0.54. 0.48, 0.35, 0.24, 0.21

0.35, 0.21, 0.24, 0.48, 0.54

Correct answer:

0.21, 0.24, 0.35, 0.48, 0.54

Explanation:

To rank, we check the tenths digit. 0.21, 0.24 are the smallest in the set.

Next, we look at the hundredths digit. is greater than , so the rank is 0.21, 0.24 .

Since the next three numbers have differnt tenths digit, we just put in numerical order.

Final answer should be

0.21, 0.24, 0.35, 0.48, 0.54 .

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Example Question #11 : Ordering

Which decimal is the GREATEST?

Possible Answers:

0.500000000

0.5

0.499999

0.500001

0.49999

Correct answer:

0.500001

Explanation:

The tenths digits are different. 0.5 , 0.500000000 , and 0.500001 are clearly bigger than the other two.

So now, we compare the remaining decimals.

0.5 , 0.500000000 are exacty the same decimal with just more zeroes.

0.500001 is clearly the biggest as it is 0.000001 much bigger.

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Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the LEAST?

Possible Answers:

0.300

0.2999

0.3001

0.29999

0.299

Correct answer:

0.299

Explanation:

By looking at the tenths digit, 0.299, 0.2999, 0.29999 are smaller than the other two.

Next, we look at the digits afterwards. 0.299 is clearly the smallest out of the rest.

The others have more precise decimal places.

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Example Question #12 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Rank from smallest to greatest.

0.288, 0.28, 0.2888, 0.28888, 0.29

Possible Answers:

0.29, 0.28888, 0.2888, 0.288, 0.28

0.28, 0.288, 0.2888, 0.28888, 0.29

0.288, 0.28, 0.2888, 0.28888, 0.29

0.29, 0.28, 0.28888, 0.288, 0.2888

0.28888, 0.2888, 0.288, 0.28, 0.29

Correct answer:

0.28, 0.288, 0.2888, 0.28888, 0.29

Explanation:

Since each decimal have the same tenths digit, we compare the hundredths digit. 0.29 is the greatest of all decimals in the set since the rest have as the hundredths digit.

Next, we compare the rest.

The more s there are, the more precise the decimal.

0.28, 0.288, 0.2888, 0.28888 is the order.

The final order is

0.28, 0.288, 0.2888, 0.28888, 0.29 .

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Example Question #13 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Rank from least to greatest.

-0.1, -0.21, -0.11, -0.214, -0.101

Possible Answers:

-0.214, -0.21, -0.11, -0.101, -0.1

-0.21, -0.214, -0.1, -0.101, -0.11

-0.214, -0.11, -0.101, -0.21, -0.1

-0.1, -0.101, -0.11, -0.21, -0.214

-0.21, -0.1, -0.11, -0.214, -0.101

Correct answer:

-0.214, -0.21, -0.11, -0.101, -0.1

Explanation:

When dealing with negative numbers, remember the largest decimal is the least value which will be -0.214, -0.21 since their tenths digit is greater than the rest.

The rest of the order will be -0.11, -0.101, -.1 .

The hundredths digit in -0.11 is greater than the rest.

So our order is

-0.214, -0.21, -0.11, -0.101, -0.1 .

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Example Question #14 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the greatest?

Possible Answers:

1.0000001

1.000000001

1.0

0.98

1.000000000000001

Correct answer:

1.0000001

Explanation:

There is a in front of most decimals except 0.98 which makes the rest bigger than this decimal.

Next, the ones with less zeroes means the value is bigger and further than 1.0 .

We have a decimal with zeroes, another with zeroes, and lastly with zeroes.

The one with zeroes is the greatest decimal.

That value is 1.0000001 .

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SAT Math : Decimals

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #1 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #6 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #7 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #12 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #11 : Ordering

Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #12 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #13 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Example Question #14 : How To Order Decimals From Least To Greatest Or From Greatest To Least

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