1.9 -1.9 is equal to : 1. 0 2. 1 3. 0.09 4. 0.1

Let x = ⇒ x = 1.999... .......(1) ⇒ 10x = 19.999... .......(2) Subtracting equation (1) from (2), we get : ⇒ 10x - x = 19.999..... - 1.999.... ⇒ 9x = 18 ⇒ x = = 2. ⇒ ⇒ 2 - 1.9 ⇒ 0.1 Hence, Option 4 is the correct option.

Mathematics

$1.\overline{9} - 1.9$ is equal to :
0
1
0.09
0.1

Rational Irrational Nos

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Answer

Let x = $1.\overline{9}$

⇒ x = 1.999… …….(1)

⇒ 10x = 19.999… …….(2)

Subtracting equation (1) from (2), we get :

⇒ 10x - x = 19.999….. - 1.999….

⇒ 9x = 18

⇒ x = $\dfrac{18}{9}$ = 2.

⇒ $1.\overline{9} - 1.9$

⇒ 2 - 1.9

⇒ 0.1

Hence, Option 4 is the correct option.

Answered By

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a	2	4	6	8	10
b	3	5	7	9	11
c	5	10	15	20	25

Mathematics

$1.\overline{9} - 1.9$ is equal to :
0
1
0.09
0.1

Rational Irrational Nos

Answer

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Rational Irrational Nos

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$1.\overline{9} - 1.9$ is equal to :
0
1
0.09
0.1

$0.6 + 0.\overline{7} + 0.4\overline{7}$ is equal to:
$\dfrac{155}{90}$
$\dfrac{147}{90}$
$\dfrac{167}{90}$
none of these

$\sqrt[4]{\sqrt[3]{3^2}}$ can be expressed as :
$3^6$
$6^{1/3}$
$3^{1/12}$
$3^{1/6}$

When written in decimal form, which of the following will be a non-terminating and non-repeating number?
$1^{1/9}$
$2^{1/9}$
$2^{-9}$
$9^{1/2}$

Observe the values of a, b, c given in the table. If we choose numbers a, b and c from rows a, b and c respectively, what is the maximum possible value of $\dfrac{c - b}{a}$ ?
a 2 4 6 8 10
b 3 5 7 9 11
c 5 10 15 20 25