For a fixed base 10, if the exponent decreases by 1, the number becomes
(a) One-tenth of the previous number.
(b) Ten times of the previous number.
(c) Hundredth of the previous number.
(d) Hundred times of the previous number

Solution:The Correct answer is(a)

For a fixed base 10, if the exponent decreases by 1, the number becomes

Let x = (10), if index is reduced by 1 then the number is (1/10) thus we find that answer is reduced by one tenth

✦ Try This: If the base of an exponent is a fraction which is greater than zero but less than one then if power is increased by 1 then value of the exponent is (a) Remains same, (b) Increases, (c) Decreases, (d) Can’t say

The Correct answer is(c)

If the base of the exponent is a fraction which is greater than zero but less than one then if power is increased by 1 then the value of exponent decreases.

For example: Let x = (1/2) then y = (1/2)² = 1/4 clearly, x > y thus we may notice that value of the fraction decreases when the powers are increased.

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 2

For a fixed base 10, if the exponent decreases by 1, the number becomes (a) One-tenth of the previous number, (b) Ten times of the previous number, (c) Hundredth of the previous number, (d) Hundred times of the previous number

Summary:

For a fixed base 10, if the exponent decreases by 1, the number becomes One-tenth of the previous number

☛ Related Questions:

• 3-2 can be written as (a) 32, (b) 1/32, (c) 1/3-2, (d) -2/3
• The value of 1/4-2 is (a) 16, (b) 8, (c) 1/16, (d) 1/8
• The value of 35 ÷ 3-6 is (a) 35, (b) 3-6, (c) 311, (d) 3-11