How do you write 0.00000000016 in scientific notation?

2 Answers
Jul 25, 2016

0.00000000016=1.6xx10^(-10)

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.

Note that moving decimal p digits to right is equivalent to multiplying by 10^p and moving decimal q digits to left is equivalent to dividing by 10^q.

Hence, we should either divide the number by 10^p i.e. multiply by 10^(-p) (if moving decimal to right) or multiply the number by 10^q (if moving decimal to left).

In other words, it is written as axx10^n, where 1<=a<10 and n is an integer.

To write 0.00000000016 in scientific notation, we will have to move the decimal point ten points to right, which literally means multiplying by 10^10.

Hence in scientific notation 0.00000000016=1.6xx10^(-10) (note that as we have moved decimal one point to right we are multiplying by 10^(-10).

0.00000000016=1.6 xx 10^-10

Explanation:

The solution

0.00000000016=1.6 xx 10^-10

The exponent -10 is obtained by counting the number of zeros to the right of the decimal point plus one.

So the decimal point is place in between 1 and 6 so that it is written 1.6 , then multiplying it by 10^(-10)

So we write the final scientific notation

0.00000000016=1.6 xx 10^-10

God bless....I hope the explanation is useful.