Tag: square and square root

Questions Related to square and square root

Simplify: $\dfrac{1.8\times 10^{11}}{2\times 10^4}$

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

  1. $9\times 10^7$

  2. $0.9\times 10^6$

  3. $0.9\times 10^5$

  4. $9\times 10^6$

Show answer
Correct Option: D
Explanation:

$\dfrac{1.8\times 10^{11}}{2\times 10^4}$


$= \dfrac{1.8}{2} \times 10^{11-4}$


$=0.9 \times 10^7$

$= 9\times 10^6$


Ans-Option $D$.

Express $(3000)^2\times (20)^3$ in scientific notation:

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

  1. $7.2\times 10^{10}$

  2. $3.6\times 10^{8}$

  3. $6\times 10^9$

  4. $4.8\times 10^{12}$

Show answer
Correct Option: A
Explanation:

${ 3000 }^{ 2 }\times { 20 }^{ 3 }=(9\times { 10 }^{ 6 })\times (8\times { 10 }^{ 3 })\ =72\times { 10 }^{ 9 }=7.2\times { 10 }^{ 10 }$

So correct answer will be option A

Standard form of $900000000 + 800000 + 50000 + 3000 + 20 + 3$ is

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

  1. $90,00,85,323$

  2. $9,85,03,023$

  3. $90,08,53,023$

  4. $9,85,323$

Show answer
Correct Option: C
Explanation:

Standard form of $900000000 + 800000 + 50000 + 3000 + 20 + 3 = 90,08,53,023$
$\therefore$ Option C is correct.

Which of the following number is in the scientific notation?

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

  1. $\displaystyle 1.26\times 10^{-5}$ m

  2. $\displaystyle 15.75\times 10^{3}$ km

  3. $\displaystyle 0.18\times 10^{-7}$ km

  4. $\displaystyle 0.0013\times 10^{-8}$ km

Show answer
Correct Option: A
Explanation:

Since $\displaystyle 1 \leq 1.26<10$  

The number shuold be in between 1 and 10

Standard form of 
$900000000+3000+7$ is

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

  1. $90003007$

  2. $900003007$

  3. $900003000$

  4. none

Show answer
Correct Option: B
Explanation:

Standard form of $900000000 + 3000+7=900003007$

The population of India is close to $1.08 \times  10^{9}$. Which of the following represents this population written in standard notation?

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

  1. 1,080,000,000

  2. 1,080,000

  3. 180,000,000

  4. 108,000

Show answer
Correct Option: A
Explanation:

We get the answer by multiplying and dividing the number by ${ 10 }^{ 9}=1000000000$

The airports in the United States serve more than 635,000,000 people each year. Which of the following is the same number written in scientific notation?

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

  1. $635 \times 10^6$

  2. $6.35 \times 10^8$

  3. $6.35 \times 10^{-8}$

  4. $6.35 \times 10^9$

Show answer
Correct Option: B
Explanation:

We get the answer by multiplying and dividing the number by 100000000 = ${ 10 }^{ 8 }$

Numeral for sixty million and sixty six is

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

  1. 60,000,060

  2. 60,000,066

  3. 6,000,066

  4. none of these

Show answer
Correct Option: B
Explanation:

Numeral for sixty million and sixty six is 60,000,066.

Commas are inserted in a number after each

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

  1. place

  2. digit

  3. period

  4. none of these

Show answer
Correct Option: C
Explanation:

Commas are inserted in a number after each period.
Example 39,54, 452

9849475825 is written with commas as (International System)

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

  1. 9,84,94,75,825

  2. 9,849,475,825

  3. 9849,475,82,5

  4. 9,8,4,9,4,7,5,8,2,5

Show answer
Correct Option: B
Explanation:

International System: 9,849,475,825