Tag: decimal numbers

Questions Related to decimal numbers

What is the value of $2.\overline {6} - 1.\overline (9)$

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $0.\overline {6}$

  2. $0.\overline {9}$

  3. $0.\overline {7}$

  4. $0.7$

Show answer
Correct Option: A
Explanation:

The value of $2.\overline {6} - 1.\overline {9}$ is
$= \left (2 + \dfrac {6}{9}\right ) - \left (1 + \dfrac {9}{9}\right )$
$= \dfrac {6}{9} = 0.\overline {6}$

$3.\overline { 87 } -2.\overline { 59 } =$?

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $1.20$

  2. $1.\overline { 2 } $

  3. $1.\overline { 27 } $

  4. $1.\overline { 28 } $

Show answer
Correct Option: D
Explanation:

$3.\overline { 87 } -2.\overline { 59 } =\left( 3+0.\overline { 87 }  \right) -\left( 2+0.\overline { 59 }  \right) $

$=\left( 3+\dfrac { 87 }{ 99 }  \right) -\left( 2+\dfrac { 59 }{ 99 }  \right) $

$=1+\left( \dfrac { 87 }{ 99 } -\dfrac { 59 }{ 99 }  \right) $

$=1+\dfrac { 28 }{ 99 } $

$=1.\overline { 28 } $.

Simplify:
$417.25 - 41.72 - 4.53 =$ ?

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $380.06$

  2. $371$

  3. $348$

  4. $315$

  5. None of these

Show answer
Correct Option: B
Explanation:

$417.25 - 41.72 - 4.53$
$=371$.

Hence the correct answer is option B

The value of 30.5 - 30.4 + 30.3 - 30.2 + 30.1 - 30 + 29.9 - 29.8 + 29.7 - 29.6 + 29.5 - 29.4 + 29.3 - 29.2 + 29.1 - 29.0 = _________.

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $0.8$

  2. $0.7$

  3. $0.6$

  4. $1.8$

Show answer
Correct Option: A
Explanation:

We have, $(30.5 - 30.4) + (30.3 - 30.2) + (30.1 - 30) + (29.9 - 29.8) + (29.7 - 29.6) + (29.5 - 29.4) + (29.3 - 29.2) + (29.1 - 29.0)$
$= 0.1+ 0.1 + 0.1 + 0.1 + 0.1+ 0.1 + 0.1 + 0.1$
$= 0.8$.

The value of $0.0001289-0.0000000274\times 1293+0.0000419032$ is _________?

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $0.0135375$

  2. $0.000153357$

  3. $135375000$

  4. $0.166632277$

Show answer
Correct Option: D
Explanation:
We need to find value of$0.0001289-0.0000000274\times 1293+0.0000419032$ 
We have, $0.0001288726\times 1293.0000419032$
$=0.166632277$

What is the sum of $11.006+34+0.72$ rounded to the nearest tenths?

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $45.1$

  2. $45.7$

  3. $45.73$

  4. $46$

Show answer
Correct Option: B
Explanation:

The sum of $11.006+34+0.72$ is $45.726$.
Now, the number $45.726$ is rounded off as $45.73$.

Again it is rounded to nearest tenths as $45.7$.





A A B B C C D D E E
M S M S M S M S M S
$2006$ $2.8$ $1.3$ $3.3$ $2.2$ $2.6$ $1.7$ $3.0$ $2.2$ $1.9$ $1.4$
$2007$ $3.2$ $2.0$ $2.4$ $1.6$ $2.2$ $1.5$ $2.5$ $1.9$ $2.0$ $1.7$
$2008$ $1.9$ $0.9$ $2.9$ $1.6$ $2.1$ $1.0$ $2.3$ $1.5$ $1.6$ $1.1$
$2009$ $1.0$ $0.4$ $2.4$ $1.3$ $2.8$ $1.4$ $2.1$ $1.2$ $3.2$ $2.5$
$2010$ $2.5$ $1.5$ $2.3$ $1.2$ $2.6$ $2.1$ $1.8$ $1.1$ $3.1$ $2.6$


What is the total number of units manufactured by company C over all  the years together?

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $14.20$

  2. $10.30$

  3. $12.30$

  4. $13.20$

Show answer
Correct Option: C
Explanation:

Total number of units manufactured by company C over all the years together

=$2.6+2.2+2.1+2.8+2.6 = 12.3 $

Find the value of $617+6.017+0.617+6.0017$.

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $6.2963$

  2. $62.965$

  3. $629.6357$

  4. $62.8975$

Show answer
Correct Option: C
Explanation:

given that, $617.0000+6.0170+0.6170+6.0017=629.6357$

hence option $C$ is correct

Subtract the given decimals: $4.17$ from $5.5$ 

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $1.33$

  2. $3.62$

  3. $1.12$

  4. $3.15$

Show answer
Correct Option: A
Explanation:

$5.5-4.17=1.33$

The value of $(1.02)^4+(0.98)^4$ upto three places of decimal is

maths decimal numbers adding and subtracting decimals addition and subtraction of decimals operations on decimals

  1. $2.004$

  2. $2.003$

  3. $2.04$

  4. $2.0004$

Show answer
Correct Option: A
Explanation:

${\left( 1.02 \right)}^{4} + {\left( 0.98 \right)}^{4}$

$= {\left( 1 + 0.02 \right)}^{4} + {\left( 1 - 0.02 \right)}^{4}$
$= \left[ {^{4}{C} _{0}} {\left( 1 \right)}^{4} + {^{4}{C} _{1}} {\left( 1 \right)}^{4-1} {\left( 0.02 \right)}^{1} + {^{4}{C} _{2}} {\left( 1 \right)}^{4-2} {\left( 0.02 \right)}^{2} + {^{4}{C} _{3}} {\left( 1 \right)}^{4-3} {\left( 0.02 \right)}^{3} + {^{4}{C} _{4}} {\left( 1 \right)}^{4-4} {\left( 0.02 \right)}^{4} \right] + \ \left[ {^{4}{C} _{0}} {\left( 1 \right)}^{4} - {^{4}{C} _{1}} {\left( 1 \right)}^{4-1} {\left( 0.02 \right)}^{1} + {^{4}{C} _{2}} {\left( 1 \right)}^{4-2} {\left( 0.02 \right)}^{2} - {^{4}{C} _{3}} {\left( 1 \right)}^{4-3} {\left( 0.02 \right)}^{3} + {^{4}{C} _{4}} {\left( 1 \right)}^{4-4} {\left( 0.02 \right)}^{4} \right]$
$= 2 \left[ {^{4}{C} _{0}} + {^{4}{C} _{2}} \left( 0.0004 \right) + {^{4}{C} _{4}} \left( 0.00000016 \right) \right]$
$= 2 \times \left( 1 + 0.0024 + 0.00000016 \right)$
$= 2 \times 1.002$
$= 2.004$
Hence the value of given expression upto three places of decimal is $2.004$.