Tag: numbers and place value

Questions Related to numbers and place value

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$