A sugar factory has annual sales of 3 billion 720 million kilograms of sugar. Express this number in the standard form.

Solution:

Given, a sugar factory has annual sales of 3 billion 720 million kilograms of sugar.

We have to write the number in 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.

Given, 3 billion 720 million kilograms = 3720000 kg

= 372 × 10⁴ kg

= 3.72 × 10² × 10⁴

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 2

n = 4

So, m + n = 2 + 4

= 6

So, 10² × 10⁴ = 10⁶

3.72 × 10² × 10⁴ = 3.72 × 10⁶ kg

Therefore, the required standard form is 3.72 × 10⁶ kg.

✦ Try This: A sugar factory has annual sales of 5 billion 780 million kilograms of sugar. 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 113

A sugar factory has annual sales of 3 billion 720 million kilograms of sugar. Express this number in the standard form.

Summary:

A sugar factory has annual sales of 3 billion 720 million kilograms of sugar. Expressing this number in the standard form we get 3.72 × 10⁶ kg.

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