Simplify and express in standard form 0.00275×0.00640.025×0.08
Answer Details
To simplify and express in standard form the expression:
$$\frac{0.00275 \times 0.0064}{0.025 \times 0.08}$$
We can start by simplifying the numerator and denominator:
$$\frac{0.00275 \times 0.0064}{0.025 \times 0.08} = \frac{0.0000176}{0.002}$$
Then, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor of the two:
$$\frac{0.0000176}{0.002} = \frac{8.8}{1000} = \frac{22}{2500}$$
Finally, we can express this fraction in standard form by writing it as a number between 1 and 10 multiplied by a power of 10:
$$\frac{22}{2500} = 0.0088 = 8.8 \times 10^{-3}$$
Therefore, the expression $\frac{0.00275 \times 0.0064}{0.025 \times 0.08}$ simplified and expressed in standard form is $8.8 \times 10^{-3}$.