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Simplify [tex]\frac{0.00275 \times 0.00081}{0.0025 \times 0.09}[/tex]. Give the answer in standard form.

Sagot :

Sure! Let's solve this problem step by step.

We need to simplify the following expression:

[tex]\[ \frac{0.00275 \times 0.00081}{0.0025 \times 0.09} \][/tex]

1. Calculate the numerator:

[tex]\[ 0.00275 \times 0.00081 = 2.2275 \times 10^{-6} \text{ (standard notation is } 2.2275\ e^{-6} \text{)} \][/tex]

2. Calculate the denominator:

[tex]\[ 0.0025 \times 0.09 = 0.000225 \][/tex]

3. Simplify the fraction by dividing the numerator by the denominator:

[tex]\[ \frac{2.2275 \times 10^{-6}}{0.000225} = 0.009899999999999999 \][/tex]

4. Express the result in standard form:

The simplified fraction result is [tex]\( 0.009899999999999999 \)[/tex], which can be written in standard form as [tex]\( 9.9 \times 10^{-3} \)[/tex].

So, the simplified form of the given expression in standard form is:

[tex]\[ 9.9 \times 10^{-3} \][/tex]