Tag: decimal numbers

Quizzes (12) Questions (85)

Questions Related to decimal numbers

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

The simplified value of $\displaystyle\frac{10.24 \div 1.6}{20 - 19.8}$ is

  1. $1.6$
  2. $3.2$
  3. $16$
  4. $32$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\displaystyle\frac { 10.24 }{ 1.6 } = \displaystyle\frac { 102.4 }{ 16 } = 6.4$
$\therefore \displaystyle\frac { 10.24\div 1.6 }{ 20-19.8 } = \displaystyle\frac { 6.4 }{ 0.2 } = \displaystyle\frac { 64 }{ 2 } = 32$

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

Simplify :$\displaystyle \left ( 0.\overline{1} \right )^{2}\left { 1-9\left ( 0.\overline{16} \right )^{2} \right }$

  1. $\displaystyle \frac{1}{162}$
  2. $\displaystyle \frac{1}{108}$
  3. $\displaystyle \frac{7696}{10{6}}$
  4. $\displaystyle \frac{1}{106}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\displaystyle \left ( 0.\overline{1} \right )^{2}\left { 1-9\left ( 0.\overline{16} \right )^{2} \right }$


= $\displaystyle \left ( \frac{1}{9} \right )^{2}\left { 1-9\left ( \frac{16-1}{90} \right )^{2} \right }=\frac{1}{81}\left { 1-9\times\left ( \frac{15}{90} \right )^{2}  \right }$

= $\displaystyle \frac{1}{81}\left { 1-9\times \frac{1}{36} \right }=\frac{1}{81}\times \frac{3}{4}=\frac{1}{108}$

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

Simplify : $[ 0.9 - { 2.3 - 3.2 - 3.2 - ( 7.1- 5.4 - 3.5 ) } ]$

  1. 0.18

  2. 1.8

  3. 0

  4. 2.6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle \left [ 0.9-\left { 2.3-3.2-\left ( 7.1-5.4-3.5 \right ) \right } \right ]$


=$\displaystyle \left [ 0.9-\left { 2.3-3.2-\left ( 7.1-8.9 \right ) \right } \right ]$

= $\displaystyle \left [ 0.9-\left { 2.3-3.2-\left ( -1.8 \right ) \right } \right ]$

= $\displaystyle \left [ 0.9-\left { 2.3-3.2+1.8 \right } \right ]$

= $\displaystyle \left [ 0.9-\left { 4.1-3.2 \right } \right ]$

= $\displaystyle \left [ 0.9-0.9 \right ]=0 $

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

$\displaystyle (0.34\overline{67}+0.13\overline{33})$ is equal to 

  1. $\displaystyle 0.\overline{48}$

  2. 0.4803
  3. $\displaystyle 0.48\overline{01}$
  4. $\displaystyle 0.4\overline{8}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle 0.34\overline{67}+0.13\overline{33}=\frac{3467-34}{9900}+\frac{1333-13}{9900}$


= $\displaystyle \frac{3433}{9900}+\frac{1320}{9900}=\frac{4753}{9900}$

= $\displaystyle \frac{4801-48}{9900}=0.4801 $

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

The value of $\displaystyle 0.\overline{2}+0.\overline{3}+0.\overline{4}+0.\overline{9}+0.\overline{39}$ is 

  1. $\displaystyle 0.\overline{57}$
  2. $\displaystyle 1\frac{20}{33}$
  3. $\displaystyle 2\frac{1}{3}$
  4. $\displaystyle 2\frac{13}{33}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\displaystyle 0.\overline{2}+0.\overline{3}+0.\overline{4}+0.\overline{9}+0.\overline{39}$


= $\displaystyle \frac{2}{9}+\frac{3}{9}+\frac{4}{9}+\frac{9}{9}+\frac{39}{99}$

= $\displaystyle \frac{22+33+44+99+39}{99}$

= $\displaystyle \frac{237}{99}=2\frac{13}{33}$

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

Simplify $\displaystyle :0.\overline{4}+0.\overline{61}+0.\overline{11}-0.\overline{36}$

  1. $\displaystyle 0.\overline{83}$
  2. $\displaystyle 0.\overline{87}$
  3. $\displaystyle 0.\overline{80}$
  4. $\displaystyle 0.\overline{85}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle :0.\overline{4}+0.\overline{61}+0.\overline{11}-0.\overline{36}=\frac{4}{9}+\frac{61}{99}+\frac{11}{99}-\frac{36}{99}=\frac{4}{9}+\frac{72}{99}-\frac{36}{99}$


$\displaystyle=\frac{4}{9}+\frac{36}{99}=\frac{44}{99}+\frac{36}{99}=\frac{80}{99}=0.\overline{80}$

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

In a number system the product of 44 and 11 is 3414 The number 3111 of this system when converted to the decimal number system becomes

  1. 406

  2. 1086

  3. 213

  4. 691
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The product of 44 and 11 is 484
If base is x then 3411
$3x^3+4x^2+1x^1+4x^0=484$
$3x^3+4x^2+x=480$
This equation is satisfy when x=5
then base is 5
In decimal system number 3111 will be  written
$3\times 5^3+1\times 5^2+1\times 5^1+1\times 5^0=406$

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

A mathematician born in the first half of the 19th century was x years old in the year $x^2$. He was born in

  1. 1849

  2. 1806

  3. 1812

  4. 1852
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The man born between $1800$ and $1850$ which is a perfect square. 
The perfect square number is $43 = 1849$ (Since$ 42 = 1764$ and $44 = 1936$ ) 
So in the year $1849$ the man was $43$ years old. 
Which shows the year of born is $1849 - 43 = 1806.$