Tag: maths

Questions Related to maths

Multiply:
$123\times24.53$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. $3017.19$

  2. $30171.9$

  3. $307.719$

  4. $30.719$

Show answer
Correct Option: A
Explanation:
Multiplying and dividing by $100$ we get
$123\times 24.53 = (123\times2453)\div100$
                    $=3017.19$

Find the value of $x$
$83^{27.3}\div 83^{1.4}\times 83^{46.8}=83^{31.9+x}$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. $64.1$

  2. $41.9$

  3. $40.8$

  4. $39.1$

  5. None of these

Show answer
Correct Option: C
Explanation:

Consider L.H.S
$83^{27.3}\div 83^{1.4}\times 83^{46.8}$
$=(83)^{27.3-1.4+46.8}=(83)^{72.7}$
$\Rightarrow 31.9+x=72.7$
$\Rightarrow x=72.7-31.9=40.8$.

Solve the following:
$19.7\times 4$


$78.8$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Step 1 : $197 x 4 = 788$

Step 2 : Total number after decimal $= 1$

So, $19.7 \times  4 = 78.8$

Solve the following:
$0.05\times 7$ = $0.35$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Step 1 : $5 \times  7 = 35$

Step 2 : Total number after decimal $= 2$
So, $0.05 \times  7 = 0.35$

Solve the following:
$4.3\times 3.4$


Ans: $14.62$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Given, $4.3 \times  3.4$

Step I: $43 \times 34 = 1462$
Step II: Total number after decimal $= 2$
So, $4.3 \times 3.4 = 14.62$
Hence , given statement is true

Solve the following:
$11.2\times 0.10$


Ans : $1.12$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

$11.2 \times  0.10$

Step I: $112 \times  10=1120$

Step II: Total number after decimal point $= 1 + 2 = 3$

So, we put a decimal point after three places from the right

$11.2 \times 0.10 = 1.120$

$= 1.12$


Solve the following:
$0.5\times 0.05$


Ans: $0.025$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Given, $0.5 \times  0.05$


Step I: $5 \times  5 = 25$


Step II: Total number after decimal $= 3$

So, $0.5 \times  0.05 = 0.025$
Hence , given statement is true

Solve the following:
$2\times 0.86$ = $1.72$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

$2 \times 0.86 = 1.72$

So given statement is true

Solve the following:
$0.1\times 7.5$


Ans : $0.75$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A

Solve the following:
$70.01\times 1.1$


Ans : $77.011$

maths decimal fraction multiplying decimals multiplication of decimals multiplication of division of decimal fraction by whole number and decimal fraction

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Given, $70.01 \times  1.1$


Step I: $7001 \times 11 = 77011$


Step II: Total number after decimal $= 3$

So, $70.01 \times 1.1 = 77.011$

Hence , given statement is true