Tag: maths

Questions Related to maths

The usual form of $\displaystyle 4\cdot 56\times 10^{-5}$ is:

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $0.0000456$

  2. $0.00000456$

  3. $0.000456$

  4. $456000$

Show answer
Correct Option: A
Explanation:

$\displaystyle 4\cdot 56\times 10^{-5}=0\cdot 00000456$

If $0.00044=$$\displaystyle 4\cdot 4\times 10^{n}$ then, find the value of $ n$.

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $4$

  2. $5$

  3. $-4$

  4. $-5$

Show answer
Correct Option: C
Explanation:

$\displaystyle 0\cdot 00044= \frac{44}{100000}= \frac{4\cdot 4\times10^{1}}{10^{5}}$
$=\displaystyle 4\cdot 4\times 10^{-4}$
Now
$\displaystyle 4\cdot 4\times 10^{-4}=4\cdot 4\times 10^{n}$
$\displaystyle \therefore n=-4$

Find the value of $n$ such that $502000000=$$\displaystyle 5\cdot 02\times 10^{n}$.

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $5$

  2. $7$

  3. $-8$

  4. $8$

Show answer
Correct Option: D
Explanation:

$\displaystyle 50,20,00,000=5\cdot 02\times 10^{8}$
Now $\displaystyle 5\cdot 02\times 10^{8}= 5\cdot 02\times 10^{n}$
$\displaystyle \therefore n= 8$

The standard form of $\displaystyle \frac{1}{10000000}$ is:

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $\displaystyle 1\times 10^{-7}$

  2. $\displaystyle 0\cdot 1\times 10^{-7}$

  3. $\displaystyle 1\times 10^{7}$

  4. $\displaystyle 1\times 10^{-6}$

Show answer
Correct Option: A
Explanation:

$\displaystyle \frac{1}{10000000}= \frac{1}{10^{7}}= 1\times 10^{-7}$

The distance of the sun from the earth is $1,49,60,00,00,000$ m. Express it in standard form.

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $\displaystyle 1\cdot 496\times 10^{-10}$

  2. $\displaystyle 1\cdot 496\times 10^{-11}$

  3. $\displaystyle 1\cdot 496\times 10^{10}$

  4. $\displaystyle 1\cdot 496\times 10^{11}$

Show answer
Correct Option: D
Explanation:

$1,49,60,00,00,000=$$\displaystyle 1\cdot 496\times 10^{11}$ m

The size of a plant cell is $0.00005473$ m. This number can also be written as

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $\displaystyle 5\cdot 473\times 10^{-3}$

  2. $\displaystyle 5\cdot 473\times 10^{-5}$

  3. $\displaystyle 5\cdot 473\times 10^{11}$

  4. $\displaystyle 5\cdot 473\times 10^{5}$

Show answer
Correct Option: B
Explanation:

$\displaystyle 0\cdot 00005473=\frac{5473}{100000000}=\frac{5\cdot 473\times 10^{3}}{10^{8}}$
=$\displaystyle 5\cdot 473\times 10^{-5}$

The usual form of $\displaystyle 2\cdot 73\times 10^{12}$ is:

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $273000000000$

  2. $2.730000000000$

  3. $2730000000000$

  4. $27300000000000$

Show answer
Correct Option: C
Explanation:

$2.73 \times 10^{12} $$=2730000000000$

The value of ${ \left( 256 \right)  }^{ 0.16 }.{ \left( 256 \right)  }^{ 0.09 }$ is:

maths numbers and place value many forms of ten thousand standard form of numbers number names, numerals and place values

  1. $4$

  2. $16$

  3. $64$

  4. $256.25$

  5. $-16$

Show answer
Correct Option: A
Explanation:

we know,


$a^{m} \times a^{n}=a^{m+n}$

and $256=4^{4}$

$\Rightarrow (256)^{0.16} \times (256)^{0.09}$ $=(256)^{0.25}$

we know,
$(a^{m})^{n}=a^{mn}$

$\Rightarrow (4^{4})^{0.25}$$=4^{4 \times 0.25}$$=4^1=4$

What is the difference in the place values of the digit 8 in the number 9380568?

maths concepts of seven and eight digit numbers indian place value chart largest and smallest numbers writing and expanding numbers

  1. 79992

  2. 78992

  3. 799992

  4. 789992

Show answer
Correct Option: A

Find the value of each of the following, using the column method.
$(23)^2$
$(52)^2$

maths square and square root perfect square or square number squares and triangles powers and roots

  1. 549, 2724

  2. 549, 2704

  3. 529, 2724

  4. 529, 2704

Show answer
Correct Option: D
Explanation:

$(23)^2$
$a=2, b=3$

$i$ $ii$ $iii$
$a^2$ $2ab$ $b^2$
$4$$1$           $\underline { 5 }$ $12$$+0$           $1\underline { 2 }$ $\underline { 9 }$

$\therefore (23)^2=529$

$(52)^2$
$a=5, b=2$

$i$ $ii$ $iii$
$a^2$ $2ab$ $b^2$
$25$$+2$          $\underline { 27 }$ $20$$+0$          $2\underline { 0 }$ $\underline { 4 }$

$\therefore (52)^2=2704$