Answer:
Explanation:
You want the result of a division operation performed on numbers written in scientific notation.
In each case, the result number will have a repeating decimal fraction. We show 4 significant figures in the answer. The number of significant figures you need to use will depend on what you're using the answer for. If you are required to match the precision of the numbers here, you will want to use 1 significant figure.
The rules of exponents apply, so the exponent of the result will be the difference of the exponents of numerator and denominator. As always, if the numerator mantissa is smaller than the denominator mantissa, the result will be a fraction, so adjustment of the exponent will be necessary.
5×10^-10/(3×10^-9)
= (5/3)×10^(-10-(-9)) = 1.667×10^-1
1×10^-9/3.5×10^-9
= (1/3.5)×10^(-9-(-9)) = 0.2857×10^0 = 2.857×10^-1
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Additional comment
Any scientific or graphing calculator and any spreadsheet can accept input in scientific notation and format the output in the same way.
You need to be careful with the way you enter the multiplier. Most calculating platforms accept the E notation shown in the attachment. If you use multiplication (×10^-9, for example), then the denominator number will need to be enclosed in parentheses. The third line of the second attachment shows the result of not using parentheses: the multiplier intended for the denominator instead multiplies the result of the division. (This behavior is required by the Order of Operations.)