Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

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

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

  1. $4$
  2. $5$
  3. $-4$
  4. $-5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

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

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

  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. $\displaystyle 1\cdot 496\times 10^{11}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

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

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

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

  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. $\displaystyle 5\cdot 473\times 10^{5}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

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

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

  1. $4$
  2. $16$
  3. $64$
  4. $256.25$
  5. $-16$
Reveal answer Fill a bubble to check yourself
A Correct answer
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$

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

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

  1. 549, 2724

  2. 549, 2704

  3. 529, 2724

  4. 529, 2704
Reveal answer Fill a bubble to check yourself
D Correct answer
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$          $2\underline { 0 }$ $\underline { 4 }$

$\therefore (52)^2=2704$