Question

weeklyquiz - 9 5.1 - 5.3: problem 7
(1 point)
use the letter x to denote × in your answers below.

1. write 0.000000000000000000000002136 in scientific notation:
2. write 20000000000000 in scientific notation:
3. write 3.5×10^{20} in standard form:

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Explanation:

Step1: Write \(0.0000000000000000000000002136\) in scientific notation

Move the decimal point to the right until there is one non - zero digit to the left of the decimal point. We move it \(24\) places. So, \(0.0000000000000000000000002136 = 2.136\times10^{-24}\)

Step2: Write \(20000000000000\) in scientific notation

Move the decimal point to the left until there is one non - zero digit to the left of the decimal point. We move it \(13\) places. So, \(20000000000000=2\times10^{13}\)

Step3: Write \(3.5\times 10^{20}\) in standard form

Since the exponent is \(20\), we move the decimal point \(20\) places to the right. So, \(3.5\times 10^{20}=350000000000000000000\)

Answer:

1. \(2.136\times10^{-24}\)
2. \(2\times10^{13}\)
3. \(350000000000000000000\)