Large numbers can be expressed in the standard form by using positive exponents. State whether the statement is true or false.

Solution:

Given, Large numbers can be expressed in the standard form by using positive exponents.

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.

Example: 305000 = 305 × 10 × 10 × 10

= 305 × 10³

= 3.05 × 10² × 10³

By using, a^m × aⁿ = a^{m + n}

= 3.05 × 10⁵

Therefore, large numbers can be expressed using positive exponents.

✦ Try This: The value of 8⁻² is equal to 64. 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 89

Large numbers can be expressed in the standard form by using positive exponents. State whether the statement is true or false.

Summary:

The given statement, ”Large numbers can be expressed in the standard form by using positive exponents” is true.

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☛ Related Questions:

• am × bm = (ab)m. State whether the statement is true or false
• Solve the following: 100⁻¹⁰
• Solve the following: 2⁻² × 2⁻³