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Zero is a whole number which is not a natural number. Every integer is a rational number. Every whole number is an integer but converse is false.
Which of the following decimal is terminating?
∵ All the fractions are in their simplest form.
∴ The fraction having the denominator in the form 2^{m} × 5^{n} will be terminating.
∴ Just analyzing the denominators, we have 11, 6, and 7 cannot be expressed in 2^{m} × 5^{n} form, but 16 = 2^{4} × 5^{0}.
∴ 11/16 will be a terminating decimal.
π = 3.14157...... (Nonrepeating nonterminating decimal)
22/7 = 3.142871
∴ 22/7 is a rational number.
Here
∴ Required value = 10 × 50 = 500
We have
Given 5^{x3} ⋅ 3^{2x8} = 225 = 5^{2} . 3^{2}
∴ x – 3 = 2x – 8 = 2
⇒ x = 5
Here [ 2  3( 2  3)^{3}]^{3} = [ 2  3(1)^{3}]^{3}
= [ 2 + 3]^{3} = (5)^{3} = 125 = x
Here ( x + 1/x)^{2} = x^{2} + 1/x^{2} + 2
= (98 + 2) =100
⇒ x + 1 = √100 = 10
Here
The given equation can be written as
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