Question

homework 1
question 6 of 17 (1 point) | question attempt: 1 of 3
part 2 of 3
0.022 =
part 3 of 3
0.000020 =

Explanation:

Part 2 of 3

Step1: Identify the coefficient and exponent

To express \(0.022\) in scientific notation (\(a\times10^{n}\), where \(1\leq|a|\lt10\) and \(n\) is an integer), we move the decimal point to get a number between 1 and 10. For \(0.022\), moving the decimal 2 places to the right gives \(2.2\), and since we moved it to the right, the exponent \(n\) is negative. So \(0.022 = 2.2\times10^{-2}\).

Step2: Fill in the blanks

The first blank is the coefficient \(2.2\), the second blank (the base of the power of 10) is \(2.2\), and the third blank (the exponent) is \(-2\).

Step1: Identify the coefficient and exponent

For \(0.000020\), we move the decimal point 5 places to the right to get \(2.0\) (which is between 1 and 10). Since we moved the decimal to the right, the exponent \(n\) is negative. So \(0.000020 = 2.0\times10^{-5}\).

Step2: Fill in the blanks

The first blank is the coefficient \(2.0\), the second blank (the base of the power of 10) is \(2.0\), and the third blank (the exponent) is \(-5\).

Answer:

\(0.022 = \boldsymbol{2.2}\times10^{\boldsymbol{-2}}\)

Part 3 of 3