The topic of reducing and expanding decimal numbers is extremely easy.

All you need to remember is the following phrase:

The topic of reducing and expanding decimal numbers is extremely easy.

All you need to remember is the following phrase:

**What does this tell us?**

Let's look at some examples:

We can compare $0.4$ and $0.40$ precisely because of the phrase we saw earlier.

In fact, $4$ tenths is equivalent to $40$ hundredths.

Similarly, we can compare $2.56$ and the decimal number$2.560$ and also the decimal number $2.5600$

**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 $0$, we are simplifying and expanding without realizing it.

Question 1

Write the following decimal as a fraction and simplify:

\( 0.75 \)

Question 2

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

\( 0.36= \)

Question 3

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

\( 0.58 \)

Question 4

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

\( 0.8 \)

Question 5

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

\( 0.5= \)

Write the following decimal as a fraction and simplify:

$0.75$

$\frac{3}{4}$

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

$0.36=$

$\frac{9}{25}$

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

$0.58$

$\frac{29}{50}$

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

$0.8$

$\frac{4}{5}$

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

$0.5=$

$\frac{1}{2}$

Question 1

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

\( 0.350 \)

Question 2

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

\( 0.630 \)

Question 3

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

\( 1.4 \)

Question 4

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

\( 2.6 \)

Question 5

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

\( 6.9 \)

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

$0.350$

$\frac{7}{20}$

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

$0.630$

$\frac{63}{100}$

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

$1.4$

$1\frac{2}{5}$

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

$2.6$

$2\frac{3}{5}$

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

$6.9$

$6\frac{9}{10}$

Question 1

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

\( 11.3 \)

Question 2

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

\( 16.4 \)

Question 3

Fill in the missing sign:

\( 0.305\text{ }_{—\text{ }}0.30 \)

Question 4

Fill in the missing sign:

\( 0.8\text{ }_{—\text{ }}0.08 \)

Question 5

Fill in the missing sign:

\( 0.008\text{ }_{—\text{ }}0.08 \)

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

$11.3$

$11\frac{3}{10}$

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

$16.4$

$16\frac{2}{5}$

Fill in the missing sign:

$0.305\text{ }_{—\text{ }}0.30$

>

Fill in the missing sign:

$0.8\text{ }_{—\text{ }}0.08$

>

Fill in the missing sign:

$0.008\text{ }_{—\text{ }}0.08$

<