Question

Write the following numbers in scientific notation: 3,430,000 & 0.004532

Answer 1

a.
`3.43* 10^6`

b.
`4.532* 10^(-3)`

Explanation:

The scientific notation is when numbers are written in the form;

`k* 10^n`, where n is an integer and
`1\le k\:<\:10`.

The given number is : 3,430,000

The decimal point is currently after the last digit: 3,430,000.0

We move it back until we get k=3.43 and n=6.

The scientific notation is:

`3.43* 10^6`

b. The second number is 0.004532

We can clearly see the decimal point this time.

We move forward until we get k=4.532 and n=-3

The scientific notation is:

`4.532* 10^(-3)`