The standard form for 0.000037 is 3.7 × 10⁻⁵. State whether the statement is true or false.

Solution:

Given, the standard form for 0.000037 is 3.7 × 10⁻⁵.

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.

0.000037 can be written as 37/1000000.

37/1000000 = 37/10⁶

Using law of exponents,

a⁻ⁿ = 1/aⁿ

= 37 × 10⁻⁶

= 3.7 × 10⁻⁵

Therefore, 0.000037 = 3.7 × 10⁻⁵.

✦ Try This: The standard form for 0.000046 is 4.6 × 10⁻⁵. 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 85

The standard form for 0.000037 is 3.7 × 10⁻⁵. State whether the statement is true or false.

Summary:

The given statement, ”The standard form for 0.000037 is 3.7 × 10⁻⁵” is true using the laws of exponents

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☛ Related Questions:

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