Tag: writing and expanding numbers

Questions Related to writing and expanding numbers

Multiple choice 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

Arrange the given fractions in ascending order:

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

  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. $\displaystyle\frac{3}{4}$, $\displaystyle\frac{2}{7}$, $\displaystyle\frac{4}{5}$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $\displaystyle\frac{2}{7}$, $\displaystyle\frac{3}{4}$, $\displaystyle\frac{4}{5}$

Multiple choice 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

Which one of the following is correct?

  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. $\dfrac {-7}{10} < \dfrac {-5}{8} < \dfrac {-2}{3}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Convert fractions to decimals: -7/10 = -0.7, -2/3 = -0.666, -5/8 = -0.625. Since -0.7 < -0.666 < -0.625, the correct order is -7/10 < -2/3 < -5/8.

Multiple choice 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

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

  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. $6,00,780; 6,87,340; 4,76,980; 5,56,879;$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 
$6,87,340;\ 6,00,780;\ 5,56,879;\ 4,76,980$

Multiple choice 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

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

  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$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 
$8,78,654;\ 9,54,234;\ 9,56,236;\ 9,78,654$

Multiple choice 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

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

  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. $12,890; 12,908; 12,809; 12,098$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 
$12,098; 12,809; 12,890; 12,908$

Multiple choice 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

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

  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. $1,543; 1,234; 6,784; 2,345$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 
$1,234; 1,543; 2,345; 6,784$

Multiple choice 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

Which of the following decimals are arranged in ascending order?

  1. $0.5, 0.42, 0.382$
  2. $11.001, 11.1, 11.21$
  3. $20.3, 30.02, 23.25$
  4. $8.9, 8.86, 8.094$
Reveal answer Fill a bubble to check yourself
B Correct answer
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.
Multiple choice 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

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

  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. $\dfrac {2}{6}, \dfrac {1}{2}, \dfrac {2}{3}$
Reveal answer Fill a bubble to check yourself
D Correct answer
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. $\dfrac {2}{6}, \dfrac {1}{2}, \dfrac {2}{3}$.

Multiple choice 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

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

  1. $012369$
  2. $102369$
  3. $106239$
  4. $103269$
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

Multiple choice 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

Which of the following options is arranged in descending order?

  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. $3,15,45,001$; $3,51,54,100$; $4,15,45,001$; $5,25,45,010$
Reveal answer Fill a bubble to check yourself
B Correct answer
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.