How do you write 0.00000000016 in scientific notation?

2 Answers
Shwetank Mauria
Jul 25, 2016

0.00000000016=1.6×10−10

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 10p and moving decimal q digits to left is equivalent to dividing by 10q.

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

In other words, it is written as a×10n, 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 1010.

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

Leland Adriano Alejandro · Tony B
Jul 25, 2016

0.00000000016=1.6×10−10

Explanation:

The solution

0.00000000016=1.6×10−10

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=1.6×10−10

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

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