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# Introduction to Decimals Study Guide (page 4)

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Updated on Oct 4, 2011

## Introduction to Decimals Sample Questions

1. Change the mixed decimal 2.7 to a fraction.
2. Change to a decimal
3. Put these decimals in order from least to greatest: 0.1, 0.11, 0.101, and 0.011.

### Solutions to Sample Questions

#### Question 1

1. Write 2 as the whole number:  2
2. Write 7 as the top of the fraction:
3. Since there is only one digit to the right of the decimal, it's tenths.
4. Write 10 as the bottom number:

#### Question 2

1. Set up the division problem:  5√1
2. Add a decimal point and a zero to the divisor (1):  5√1.0
3. Bring the decimal point up into the answer:
4. Divide:

Thus, , or 2 tenths.

#### Question 3

 1. Since 0.0111 has the greatest number of decimal places (4), tack zeroes onto the ends of the other decimals so they all have 4 decimal places: 0.1000, 0.1100, 0.1010, 0.0111 2. Ignore the decimal points and compare the whole numbers: 1,000; 1,100; 1,010; 111 3. The low-to-high sequence of the whole numbers is: 111; 1,000; 1,010; 1,100 Thus, the low-to-high sequence of the original decimals is: 0.0111; 0.1, 0.101, 0.11

Find practice problems and solutions for these concepts at Introduction to Decimals Practice Questions.

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