1. Rewrite the given numbers in scientific notation if they are not already in that form:
2.7×10^5 = 2.7 x 10^5
3.2×10^7 = 3.2 x 10^7
2. Divide the numbers:
(2.7 / 3.2) x (10^5 / 10^7)
3. Perform the division of the numbers:
0.84375 x 10^(-2)
4. Convert the result back to scientific notation:
0.84375 x 10^(-2) = 8.4375 x 10^(-1) = 0.84375×10^(-1)
step by step how to divide Scientific notations 2.7×10^5 / 3.2×10^7
3 answers
do you Add or subtract to Convert the result back to scientific notation:
To convert the result back to scientific notation, you will need to consider whether you need to add or subtract the exponent.
In this case, when dividing numbers in scientific notation, you subtract the exponents of the powers of 10.
So in the division 2.7×10^5 / 3.2×10^7:
- 10^5 divided by 10^7 equals 10^(5-7) = 10^(-2)
Therefore, the final result in scientific notation is 0.84375 x 10^(-2).
In this case, when dividing numbers in scientific notation, you subtract the exponents of the powers of 10.
So in the division 2.7×10^5 / 3.2×10^7:
- 10^5 divided by 10^7 equals 10^(5-7) = 10^(-2)
Therefore, the final result in scientific notation is 0.84375 x 10^(-2).