Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

Solution:

Given, special balances can weigh something as 0.00000001 gram.

We have to write the standard form.

Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. This form of representation is termed as the standard form.

0.00000001 = 1.0/100000000

= 1/10⁸

Using law of exponents,

a⁻ⁿ = 1/aⁿ

1/10⁸ = 10⁻⁸

So, 1/10⁸ = 1 × 10⁻⁸ g

Therefore, the required standard form is 1 × 10⁻⁸ g.

✦ Try This: Special balances can weigh something as 0.000000011 gram. Express this number in the standard form.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 112

Special balances can weigh something as 0.00000001 gram. Express this number in the standard form.

Summary:

Special balances can weigh something as 0.00000001 gram. Expressing this number in the standard form we get 1 × 10⁻⁸ g.

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