To convert the radius of each bacterium from scientific notation to a decimal number in standard form, follow these steps:
1. Identify the given value in scientific notation:
The radius is given as [tex]\(3.15 \times 10^7\)[/tex] meters.
2. Interpret the scientific notation:
- The base value is [tex]\(3.15\)[/tex].
- The exponent [tex]\(7\)[/tex] indicates that [tex]\(3.15\)[/tex] should be multiplied by [tex]\(10^7\)[/tex].
3. Convert the scientific notation to a decimal number:
- To convert [tex]\(3.15 \times 10^7\)[/tex] to standard form, move the decimal point in [tex]\(3.15\)[/tex] seven places to the right.
4. Perform the conversion:
- Starting with [tex]\(3.15\)[/tex]:
- Move the decimal point one place to the right to get [tex]\(31.5\)[/tex].
- Move the decimal point two places to the right to get [tex]\(315\)[/tex].
- Continue this process until the decimal point has been moved a total of seven places.
As a result, moving the decimal point seven places to the right converts [tex]\(3.15 \times 10^7\)[/tex] to:
[tex]\[ 31500000.0 \][/tex]
Thus, the radius of each bacterium written in standard form is:
[tex]\[ 31500000.0 \][/tex]
So, the radius of each bacterium is [tex]\( 31500000.0 \)[/tex] meters.
