Question

Find the quotient of 2,300 and (0.4 · 10-8). In your final answer, include all of your calculations.

Answer 1

2,300=2.3*10^3

2.3/0.4=5.75

10^3-10^-8=10^11

5.75*10^11

Answer 2

The first number in this item can be also expressed as 2.3 x 10³. Now, dividing the numbers 2.3 and 0.4 will give us an answer of 5.75. There exists a rule which states that when two similar numbers are divided only having different exponents, their exponents should be subtracted. The final answer to this item is therefore,
5.75 x 10¹¹