Question

When a large or small number is written in standard scientific notation, the number is expressed as the product of a number between 1 and 10, multiplied by the appropriate power of 10. For each of the following numbers, indicate what number be- tween 1 and 10 would be appropriate when expressing the numbers in standard scientific notation. a. 9651 c. 93,241 b. 0.003521 d. 0.000001002

Answer 1

Answer and explanation:

We have given the numbers which we have to convert in standard scientific notation and write the power of 10.

Standard scientific notation is a way of writing number in a multiple of 10.

a) Number - 9651

Multiply and divide number by 1000,

`9651* (1000)/(1000)=9.651* 10^3`

Power of 10 is 3.

b) Number - 93241

Multiply and divide number by 10000,

`93241* (10000)/(10000)=9.3241* 10^4`

Power of 10 is 4.

c) Number - 0.003521

Remove decimal and write in terms of multiple of 10 power,

`0.003521=(3521)/(1000000)=3.521* 10^(-3)`

Power of 10 is -3.

d) Number - 0.000001002

Remove decimal and write in terms of multiple of 10 power,

`0.000001002=(1002)/(1000000000)=1.002* 10^(-6)`

Power of 10 is -6.