Tag: writing and expanding numbers

Questions Related to writing and expanding numbers

Arrange the given fractions in ascending order:

$\displaystyle\frac{2}{7}$, $\displaystyle\frac{4}{5}$, $\displaystyle\frac{3}{4}$

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $\displaystyle\frac{4}{5}$, $\displaystyle\frac{3}{4}$, $\displaystyle\frac{2}{7}$

  2. $\displaystyle\frac{4}{5}$, $\displaystyle\frac{2}{7}$, $\displaystyle\frac{3}{4}$

  3. $\displaystyle\frac{2}{7}$, $\displaystyle\frac{3}{4}$, $\displaystyle\frac{4}{5}$

  4. $\displaystyle\frac{3}{4}$, $\displaystyle\frac{2}{7}$, $\displaystyle\frac{4}{5}$

Show answer
Correct Option: C
Explanation:

First, we make all divisors common.
So l.c.m of $7,5,4 = 140$


Now $\dfrac{2}{7}\times \dfrac{20}{20} = \dfrac{40}{140}$

$\dfrac{4}{5}\times \dfrac{28}{28} = \dfrac{112}{140}$

$\dfrac{3}{4}\times \dfrac{35}{35} = \dfrac{102}{140}$

So the order will be $\displaystyle\frac{2}{7}$, $\displaystyle\frac{3}{4}$, $\displaystyle\frac{4}{5}$

Which one of the following is correct?

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $\dfrac {-7}{10} < \dfrac {-2}{3} < \dfrac {-5}{8}$

  2. $\dfrac {-5}{8} < \dfrac {-2}{3} < \dfrac {-7}{10}$

  3. $\dfrac {-5}{8} < \dfrac {-7}{10} < \dfrac {-2}{3}$

  4. $\dfrac {-7}{10} < \dfrac {-5}{8} < \dfrac {-2}{3}$

Show answer
Correct Option: A

Arrange in descending order:
$6,00,780;  5,56,879; 6,87,340; 4,76,980$

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $4,76,980; 6,00,780; 5,56,879; 6,87,340; $

  2. $5,56,879;6,00,780; 6,87,340; 4,76,980$

  3. $ 6,87,340; 6,00,780;5,56,879; 4,76,980$

  4. $6,00,780; 6,87,340; 4,76,980; 5,56,879;$

Show answer
Correct Option: C
Explanation:

Comparing digits at lakh's place followed by ten thousand's, thousand's, hundred's, ten's and one's place,


We can arrange the given numbers in descending order as 
$6,87,340;\ 6,00,780;\ 5,56,879;\ 4,76,980$

Arrange in ascending  order:
$9,78,654;  8,78,654;  9,56,236;  9,54,234$

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $9,78,654; 8,78,654; 9,56,236; 9,54,234$

  2. $ 8,78,654; 9,56,236; 9,54,234; 9,78,654$

  3. $ 8,78,654; 9,54,234; 9,56,236; 9,78,654$

  4. $ 9,54,234; 9,56,236; 9,78,654; 8,78,654$

Show answer
Correct Option: C
Explanation:

Comparing digits at lakh's place followed by ten thousand's, thousand's, hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$8,78,654;\ 9,54,234;\ 9,56,236;\ 9,78,654$

Arrange in ascending order:
$12,098; 12,908; 12,809; 12,890$

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $12,098; 12,908; 12,809; 12,890$

  2. $12,098;12,809; 12,890; 12,908;$

  3. $12,098;12,890; 12,908; 12,809$

  4. $12,890; 12,908; 12,809; 12,098$

Show answer
Correct Option: B
Explanation:

Comparing digits at ten thousand's place followed by thousand's, hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$12,098; 12,809; 12,890; 12,908$

Arrange in ascending order:
$1,234; 2,345; 6,784; 1,543$

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $1,234; 2,345; 6,784; 1,543$

  2. $1,234; 1,543; 2,345; 6,784$

  3. $1,543; 1,234;2,345; 6,784$

  4. $1,543; 1,234; 6,784; 2,345$

Show answer
Correct Option: B
Explanation:

Comparing digits at thousand's place followed by hundred's, ten's and one's place,


We can arrange the given numbers in ascending order as 
$1,234; 1,543; 2,345; 6,784$

Which of the following decimals are arranged in ascending order?

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $0.5, 0.42, 0.382$

  2. $11.001, 11.1, 11.21$

  3. $20.3, 30.02, 23.25$

  4. $8.9, 8.86, 8.094$

Show answer
Correct Option: B
Explanation:
Ascending order means increasing the order of a series, sequence or pattern.

Option A= $0.5>0.42>0.382$ : Numbers are in descending order
Option B= $11.001<11.1<11.21$ : Numbers are in ascending order
Option C= $20.3<30.02>23.25$ : Numbers are not in proper order
Option D= $8.9>8.86>8.094$ :Numbers are in descending order.

Option $B$ is the correct answer.

Which of the following fractions are in order from the least to the greatest?

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $\dfrac {1}{2}, \dfrac {2}{3}, \dfrac {2}{6}$

  2. $\dfrac {1}{2}, \dfrac {2}{6}, \dfrac {2}{3}$

  3. $\dfrac {2}{6}, \dfrac {2}{3}, \dfrac {1}{2}$

  4. $\dfrac {2}{6}, \dfrac {1}{2}, \dfrac {2}{3}$

Show answer
Correct Option: D
Explanation:

First convert the given fractions into like fractions.
L.C.M. of $2, 3, 6 = 6$
So,
$\dfrac {1}{2} = \dfrac {1\times 3}{2\times 3} = \dfrac {3}{6}; \dfrac {2}{3} = \dfrac {2\times 2}{3\times 2} = \dfrac {4}{6}; \dfrac {2}{6} = \dfrac {2\times 1}{6\times 1} = \dfrac {2}{6}$
So, ascending order is,
$\dfrac {2}{6}, \dfrac {3}{6}, \dfrac {4}{6}$ i.e. $\dfrac {2}{6}, \dfrac {1}{2}, \dfrac {2}{3}$.

Smallest $6$-digit number that can be formed using $9,2,6,0,3,1$ (using each digit only once) is _________ .

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $012369$

  2. $102369$

  3. $106239$

  4. $103269$

Show answer
Correct Option: B
Explanation:

To find the smallest digit start arranging the numbers in ascending order.

However, $0$ cannot be the first or else the number would become $5$ digit.
Therefore, $102369$ is the correct answer.

Which of the following options is arranged in descending order?

maths concepts of seven and eight digit numbers comparison of numbers comparing numbers operations on rational numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. $7,39,154$; $7,93,154$; $1,73,541$; $7,93,951$

  2. $8,50,76,745$; $8,50,76,547$; $8,50,67,574$; $8,50,67,547$

  3. $4,76,098$; $4,87,678$; $76,908$; $87,876$

  4. $3,15,45,001$; $3,51,54,100$; $4,15,45,001$; $5,25,45,010$

Show answer
Correct Option: B
Explanation:

The correct descending orders are


1) $7,93,951 > 7,93,154 > 7,39,154 > 1,73,541$


2) $8,50,76,745 > 8,50,76,547 > 8,50,67,574 > 8,50,67,547$

3) $4,87,678 > 4,76,098 > 87,876 > 76,908$

4) $5,25,45,010 > 4,15,45,001 > 3,51,54,100 > 3,15,45,001$

Hence option B has the correct sequence of descending order.