Tag: use of exponents

Questions Related to use of exponents

Which of the following are NOT correctly matched?

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

  1. I = 7

  2. X = 10

  3. V = 2

  4. XII = 12

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Correct Option: A,C
Explanation:

We know that

$I=1, V=5, X=10,XII = 12$

So, $V$ can not equal to $2$ and $I$ can not equal to $7$

Hence, this is the answer.

A number which is a factor of every number is

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

  1. 0

  2. 1

  3. 2

  4. none of these

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Correct Option: B
Explanation:

1 is the factor of every number .

Which option has same value as $10+10^3$

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

  1. $2.0\times 10^3$

  2. $8.0\times 10^3$

  3. $4.0\times 10^1$

  4. $1.01\times 10^3$

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Correct Option: D
Explanation:

$10+{ 10 }^{ 3 }=10+1000=1010=1.01\times { 10 }^{ 3 }$

So correct answer will be option D

Write $1000000+200000+70000$ in scientific notation.

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

  1. $1.27\times 10^5$

  2. $1.27\times 10^6$

  3. $3.7\times 10^6$

  4. $1.9\times 10^5$

Show answer
Correct Option: B
Explanation:

$1000000+200000+70000=1270000$

$\therefore 12700000=1.27\times 10^6$
Ans-Option $B$.

Write $4.5\times 10^5$ in decimal form

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

  1. $450000$

  2. $45000$

  3. $4500$

  4. $4500000$

Show answer
Correct Option: A
Explanation:

$4.5\times 10^5=450000$

Ans-Option $A$.

Express $0.008712$ in scientific notation.

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

  1. $8.712\times 10^3$

  2. $8.712\times 10^{-3}$

  3. $8.712\times 10^{-4}$

  4. $8.712\times 10^{-2}$

Show answer
Correct Option: B
Explanation:

$0.008712=8.712\times 10^{-3}$

Ans-Option $B$

Write $50000+4000+20+9$ in standard form.

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

  1. $54290$

  2. $5429$

  3. $54209$

  4. $54029$

Show answer
Correct Option: D
Explanation:

We need to write it in a standard form:

$50000+4000+20+9$
$=54000+20+9$
$=54020+9$
$=54029$
Ans-Option $D$.

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 $C$.