Tag: square and square root

Questions Related to square and square root

Write $8.73\times 10^7$ in standard form.

maths square and square root scientific notation use of exponents power of 10

  1. $8730000$

  2. $873000$

  3. $87300000$

  4. $83700000$

Show answer
Correct Option: C
Explanation:

$8.73\times 10^7=87300000$

Ans-Option $C$

Write the following in scientific notation: $(200)^3$

maths square and square root scientific notation use of exponents power of 10

  1. $4\times 10^4$

  2. $8\times 10^6$

  3. $6\times 10^6$

  4. $8\times 10^8$

Show answer
Correct Option: B
Explanation:

$(200)^3=2^3\times 10^6$

$\Rightarrow (200)^3=8\times 10^6$
Ans-Option $B$.

Write in scientific notation: $(400000)^4$

maths square and square root scientific notation use of exponents power of 10

  1. $6.4\times 10^{20}$

  2. $2.56\times 10^{20}$

  3. $2.56\times 10^{22}$

  4. $6.4\times 10^{19}$

Show answer
Correct Option: C
Explanation:

$(400000)^4=4^4\times 10^{20}$

$\Rightarrow (400000)^4=256\times 10^{20}=2.56\times 10^{22}$
Ans-Option $C$.

The scientific notation of $923.4$ is

maths square and square root scientific notation use of exponents power of 10

  1. $9.234\times { 10 }^{ -2 }$

  2. $9.234\times { 10 }^{ 2 }$

  3. $9.234\times { 10 }^{ 3 }$

  4. $9.234\times { 10 }^{ -3 }$

Show answer
Correct Option: B
Explanation:

$923.4 = 9.234 \times 100$


In scientific notation, $923.4 = 9.234 \times 10^{2}$

The scientific notation of $0.00036$ is

maths square and square root scientific notation use of exponents power of 10

  1. $3.6\times { 10 }^{ -3 }$

  2. $3.6\times { 10 }^{ 3 }$

  3. $3.6\times { 10 }^{ -4 }$

  4. $3.6\times { 10 }^{ 4 }$

Show answer
Correct Option: C
Explanation:

$0.00036 = \dfrac{36}{10000} = 36\times10^{-5}$


$\therefore$ Scientific notation $= 3.6 \times 10^{-4}$

The decimal form of $2.57\times { 10 }^{ 3 }$ is

maths square and square root scientific notation use of exponents power of 10

  1. $257$

  2. $2570$

  3. $25700$

  4. $257000$

Show answer
Correct Option: B
Explanation:

$2.57 \times 10^{3} = 2.57 \times 1000 = 2570$

$\therefore$ answer is $2570$.

The decimal form of $3.506\times { 10 }^{ -2 }$ is

maths square and square root scientific notation use of exponents power of 10

  1. $0.03506$

  2. $0.003506$

  3. $35.06$

  4. $350.6$

Show answer
Correct Option: A
Explanation:

$3.506 \times 10^{-2} = \dfrac{3.506}{100} = 0.03506$


$\therefore$ answer is $0.03506$

State the following statement is True or False
$9.954\times 10^4$ can be written as $9954$

maths square and square root scientific notation use of exponents power of 10

  1. True

  2. False

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Correct Option: B
Explanation:
$9.954\times 10^4$ can be written as 
$9.954\times 10000=99540$
Thus statement is false as $9.954\times 10^4$ is not equal to $9954$.

State whether true or false
Charge of an electron is 0.000,000,000,000,000,000,16 coulomb is equal to $1.6\times10^{-19}$ coulomb.

maths square and square root scientific notation use of exponents power of 10

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

$0.000,000,000,000,000,000,16 = \dfrac{1.6}{10000000000000000000}$ = $1.6\times10^{-19}$

In scientific notation, the numbers to the left and right to the decimal point are known as __________ and ________ respectively.

maths square and square root scientific notation use of exponents power of 10

  1. Coefficient, Mantissa

  2. Mantissa, Coefficient

  3. Standard form, Scientific form

  4. Scientific form, Standard form

Show answer
Correct Option: A
Explanation:

Take example $7.495$

In scientific notation the number present left to decimal point is called $coefficient$ and the number present right to decimal point is $Mantissa$