Question

In scientific notation, the radius of each bacterium in a petri dish is 3.15 × 10-7 meter. The radius of the bacterium written as a decimal number in standard form is ______ meters?

Answer 1

Radius of bacterium is given as

$R = 3.15 * 10^{-7}m$

now we know that

$10^{-7} = \frac{1}{10^7} = \frac{1}{10000000}$

now using the above value

$R = 3.15 * 10^{-7} m$

$R = \frac{3.15}{10^7} m$

$R = \frac{3.15}{10000000} m$

$R = 0.000000315 m$

so above is the standard form of the representation.

Answer 2

In scientific notation, the radius of each bacterium in a petri dish is 3.15 × 10⁻⁷ meters. The radius of the bacterium written as a decimal number in standard form is 0.000000315 meters

What are significant figures?

In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.

As given in the problem In scientific notation, the radius of each bacterium in a petri dish is 3.15 × 10⁻⁷ meters. and we have to convert to standard decimal form

Let us first convert  the exponent part of the scientific notation to the decimals

10⁻⁷ = 1/10⁷

      =1/10000000

      =0.0000001

Now multiply with multiple of the exponent term

3.15 × 10⁻⁷  =3.15 ×0.0000001

                  = 0.000000315 meters

Thus, If scientific notation, the radius of each bacterium in a petri dish is 3.15 × 10⁻⁷ meters. The radius of the bacterium written as a decimal number in standard form is 0.000000315 meters

Learn more about significant figures here

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