Write a division problem in which two numbers written in scientific notation have a Sum of 5 x 10^-5.

and how

3 answers

Problem: Divide 1.5 x 10^-5 by 3.5 x 10^-6.

Solution:
(1.5 x 10^-5) / (3.5 x 10^-6)

To divide numbers in scientific notation, divide the coefficients and subtract the exponents:

1.5 / 3.5 = 0.4285714 (approximately 0.43 when rounded to two decimal places)

10^-5 / 10^-6 = 10^-5-(-6) = 10^-5+6 = 10^1 = 10

Therefore, the answer is approximately 0.43 x 10^1 = 4.3 x 10^0 or simply 4.3.
but how would that have a sum of 5 x 10^-5?
My apologies for the oversight. Let's correct that.

Problem: Find two numbers in scientific notation that, when divided, have a sum of 5 x 10^-5.

Let's say the two numbers are A x 10^m and B x 10^n.

Given A x 10^m / B x 10^n = 5 x 10^-5

This can be simplified as A / B = 5 and m - n = -5

Let's choose a suitable pair of numbers that satisfies these conditions.

Let A = 5, B = 1, and m = 0, n = 5

Therefore, 5 x 10^0 / 1 x 10^5 = 5 x 10^-5

So, dividing 5 x 10^0 by 1 x 10^5 gives a sum of 5 x 10^-5.