Divide 293 by 10,00,000 and express the result in standard form.

Solution:

Given, divide 293 by 10,00,000.

We have to express the given number in standard form.

1000000 = 10⁶

Now, 293/10,00,000 = 293/10⁶

= 293 × 10⁻⁶

= 2.93 × 10² × 10⁻⁶

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.

Using law of exponents,

a^m × aⁿ = a^{m + n}

Now, 10² × 10⁻⁶ = 10² ⁻ ⁶

= 10⁻⁴

So, 2.93 × 10² × 10⁻⁶ = 2.93 × 10⁻⁴

Therefore, the required value is 2.93 × 10⁻⁴.

✦ Try This: Divide 189 by 10,00,000 and express the result in standard form.

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 100

Divide 293 by 10,00,000 and express the result in standard form.

Summary:

Dividing 293 by 10,00,000 and expressing the result in standard form we get 2.93 × 10⁻⁴.

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