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Convert the decimal [tex]$0.4$[/tex] to a fraction and then square it.

[tex]$\frac{0.4^2}{\text{ }}$[/tex]
[tex]$0.4$[/tex]

Sagot :

GinnyAnswer
Sure, let's solve the problem step-by-step.

### Step 1: Convert decimal [tex]\( 0.4 \)[/tex] to fraction

To convert the decimal [tex]\( 0.4 \)[/tex] into a fraction, we recognize that [tex]\( 0.4 \)[/tex] can be written as:
[tex]\[ 0.4 = \frac{4}{10} \][/tex]

Next, we simplify this fraction:
[tex]\[ \frac{4}{10} = \frac{2}{5} \][/tex]

So, the decimal [tex]\( 0.4 \)[/tex] as a fraction is [tex]\( \frac{2}{5} \)[/tex].

### Step 2: Calculate the square of [tex]\( 0.4 \)[/tex]

Now we need to calculate the square of [tex]\( 0.4 \)[/tex]:
[tex]\[ 0.4^2 = 0.4 \times 0.4 \][/tex]

Carrying out the multiplication:
[tex]\[ 0.4 \times 0.4 = 0.16 \][/tex]

So, [tex]\( 0.4^2 = 0.16 \)[/tex].

### Final Result:

So, the decimal [tex]\( 0.4 \)[/tex] as a fraction is [tex]\( \frac{2}{5} \)[/tex] and the square of [tex]\( 0.4 \)[/tex] is [tex]\( 0.16 \)[/tex].

To summarize:
- [tex]\( 0.4 \)[/tex] as a fraction is [tex]\( \frac{2}{5} \)[/tex].
- [tex]\( 0.4^2 = 0.16 \)[/tex].

Hence, the final results are:
[tex]\[ \frac{2}{5} \quad \text{and} \quad 0.16 \][/tex]
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