Question

What is the order of 4 x 10^-7, 7 x 10^-9, 1 x 10^4, 2 x 10^4

Answer 1

4 x 10^-7 (7 x 10^-9) (1 x 10^4) (2 x 10^4)

Answer 2

Answer:

From least of greatest: $7\times 10^{-9},4\times 10^{-7},1\times 10^4,2\times 10^4$

Step-by-step explanation:

We have been given 4 number in scientific notation. We are asked to write our given number in order.

To write our given numbers in order we need to write these number according to their degrees.

We know that a number with greatest positive degree is the largest number, while a number with largest negative degree will be smallest number.

Upon looking at our given numbers we can see that the number $7\times 10^{-9}$ has the largest negative degree, so it will be the smallest number.

We can see that number $4\times 10^{-7}$ has the second largest negative degree, so it will be the next number for our given numbers.

We can see that $1\times 10^4,2\times 10^4$ has the same degree, but $2\times 10^4$ has a leading coefficient of 2, so it will be the largest number.

Therefore, our given numbers from least to greatest order will be $7\times 10^{-9},4\times 10^{-7},1\times 10^4,2\times 10^4$.