# Special balances can weigh something like $0.00000001gm$. express this number in standard form.

Last updated date: 18th Mar 2023

•

Total views: 205.2k

•

Views today: 2.84k

Answer

Verified

205.2k+ views

**Hint:**The number given is in general form. When we write it in standard form we use powers of 10. All zeros are written in the form of powers of 10. Also sometimes we use decimal also and increase the power of 10 by 1. And this is increased as the decimal shifts to left. But we will shift the decimal to the right. Now let’s solve it!

**Complete step by step solution:**

Given is a weight of a light thing equals to $0.00000001 gm$

Now in order to write this in standard form we will measure the zeros and that will be written in the power of $10$.

So there are $7$ zeros. So the power of $10$ will be $-7$.

\[0.1 \times {10^{ - 7}}\]

All the zeros are now in the power of $10$.

If we further simplified it and the decimal is to be removed then, \[1 \times {10^{ - 8}}\]

**Thus \[0.00000001 = 1 \times {10^{ - 8}}\].**

**Note:**

Note that when we have the numbers in the form $1,00,000$ and are to be expressed in standard form we use the same way but the power of $10$ is positive.

And in the case above, the value is very less because after decimal there are 7 more zeros but we are converting that less into standard form so that is done by power of 10 as minus. Negative power is nothing but lesser value. And we know as the decimal shifts the power increases. Thus it increased by 1 but in negative form.

$0.0000001$ and $1,00,000$ have tremendous differences between them.

Recently Updated Pages

Paulings electronegativity values for elements are class 11 chemistry CBSE

For a particle executing simple harmonic motion the class 11 physics CBSE

Does Nichrome have high resistance class 12 physics CBSE

The function f satisfies the functional equation 3fleft class 12 maths JEE_Main

Write a letter to the Principal of your school to plead class 10 english CBSE

Look at the handout below Write a letter to the organizers class 11 english CBSE

Trending doubts

What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?