Reduction and expansion of decimal fractions - Examples, Exercises and Solutions

The topic of reducing and expanding decimal numbers is extremely easy.
All you need to remember is the following phrase:

If we add the digit 0 at the end of a decimal number (to the right), the value of the decimal number will not change.

What does this tell us?

Let's look at some examples:
We can compare 0.40.4 and 0.400.40 precisely because of the phrase we saw earlier.
In fact, 44 tenths is equivalent to 4040 hundredths.
Similarly, we can compare 2.562.56 and the decimal number2.5602.560 and also the decimal number 2.56002.5600

What does this have to do with the simplification and amplification of decimal numbers?

When we compare these decimal numbers and do not calculate the meaning of 00, we are simplifying and expanding without realizing it.

Suggested Topics to Practice in Advance

  1. Converting a decimal fraction to a mixed number
  2. What is a Decimal Number?

Practice Reduction and expansion of decimal fractions

Exercise #1

Write the following decimal as a fraction and simplify:

0.75 0.75

Video Solution

Answer

34 \frac{3}{4}

Exercise #2

Write the following decimal fraction as a simple fraction and simplify:

0.36= 0.36=

Video Solution

Answer

925 \frac{9}{25}

Exercise #3

Write the following decimal fraction as a simple fraction and simplify:

0.58 0.58

Video Solution

Answer

2950 \frac{29}{50}

Exercise #4

Write the following decimal fraction as a simple fraction and simplify:

0.8 0.8

Video Solution

Answer

45 \frac{4}{5}

Exercise #5

Write the following decimal fraction as a simple fraction and simplify:

0.5= 0.5=

Video Solution

Answer

12 \frac{1}{2}

Exercise #1

Write the following decimal fraction as a simple fraction and simplify:

0.350 0.350

Video Solution

Answer

720 \frac{7}{20}

Exercise #2

Write the following decimal fraction as a simple fraction and simplify:

0.630 0.630

Video Solution

Answer

63100 \frac{63}{100}

Exercise #3

Write the following decimal fraction as an imaginary fraction and simplify:

1.4 1.4

Video Solution

Answer

125 1\frac{2}{5}

Exercise #4

Write the following decimal fraction as an imaginary fraction and simplify:

2.6 2.6

Video Solution

Answer

235 2\frac{3}{5}

Exercise #5

Write the following decimal fraction as an imaginary fraction and simplify:

6.9 6.9

Video Solution

Answer

6910 6\frac{9}{10}

Exercise #1

Write the following decimal fraction as an imaginary fraction and simplify:

11.3 11.3

Video Solution

Answer

11310 11\frac{3}{10}

Exercise #2

Write the following decimal fraction as an imaginary fraction and simplify:

16.4 16.4

Video Solution

Answer

1625 16\frac{2}{5}

Exercise #3


Fill in the missing sign:

0.305 — 0.30 0.305\text{ }_{—\text{ }}0.30

Video Solution

Answer

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Exercise #4

Fill in the missing sign:

0.8 — 0.08 0.8\text{ }_{—\text{ }}0.08

Video Solution

Answer

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Exercise #5

Fill in the missing sign:

0.008 — 0.08 0.008\text{ }_{—\text{ }}0.08

Video Solution

Answer

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Topics learned in later sections

  1. Decimal Fractions
  2. Addition and Subtraction of Decimal Numbers
  3. Comparison of Decimal Numbers
  4. Converting Decimals to Fractions