Simplify 3.72 x 0.025 and express your answer in the standard form
Question 1 Report
Simplify 3.72 x 0.025 and express your answer in the standard form
Answer Details
To multiply 3.72 by 0.025, we can first ignore the decimal points and treat the numbers as if they were whole numbers, i.e., 372 and 25. We multiply these numbers to get 9300.
Next, we need to determine the power of 10 that represents the decimal point in the product. To do this, we count the total number of decimal places in the two original numbers (three in 3.72 and two in 0.025), which gives us five decimal places. Therefore, our answer needs to be in scientific notation with a power of 10 that is negative five.
Finally, we can insert the decimal point into the product and express the answer in scientific notation as follows:
3.72 x 0.025 = 0.093
= 9.3 x 10^(-2)
Therefore, the answer is \(9.3\times 10^{-2}\).
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