The standard form for 203000 is 2.03 × 10⁵. State whether the statement is true or false.

Solution:

Given, the standard form for 203000 is 2.03 × 10⁵.

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.

203000 = 203 × 10³

= 2.03 × 10³ × 10²

Using law of exponents,

a^m × aⁿ = a^{m + n}

So, 2.03 × 10³ × 10² = 2.03 × 10^{3 + 2}

= 2.03 × 10⁵

Therefore, 203000 = 2.03 × 10⁵.

✦ Try This: The standard form for 334000 is 3.34 × 10⁵. State whether the statement is true or false.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 86

The standard form for 203000 is 2.03 × 10⁵. State whether the statement is true or false.

Summary:

The given statement, ”The standard form for 203000 is 2.03 × 10⁵” is true using the laws of exponents

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