Scientific form of a number - class-VIII

Converting between scientific notation and standard form, including operations with numbers expressed in scientific notation and number system concepts

34 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

Evaluate the product of $2.3\times 10^4$ and $3\times 10^3$.

  1. $6.9\times 10^4$
  2. $6.9\times 10^7$
  3. $6.9\times 10^8$
  4. $6.9\times 10^6$
Question 2 Multiple Choice (Single Answer)

Evaluate $\dfrac{6.3\times 10^3}{3\times 10^7}$

  1. $2\times 10^{-3}$
  2. $2.1\times 10^{-3}$
  3. $2.1\times 10^{-4}$
  4. $2\times 10^{-5}$
Question 3 Multiple Choice (Single Answer)

The average distance between the Sun and a certain planet is approximately $\displaystyle 2.3\times { 10 }^{ 14 }$ inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately $\displaystyle 3.9\times { 10 }^{ 4 }$ inches )

  1. $\displaystyle 7.1\times { 10 }^{ 8 }$
  2. $\displaystyle 5.9\times { 10 }^{ 9 }$
  3. $\displaystyle 1.6\times { 10 }^{ 10 }$
  4. $\displaystyle 1.6\times { 10 }^{ 111 }$
  5. $\displaystyle 5.9\times { 10 }^{ 11 }$
Question 4 Multiple Choice (Single Answer)

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

  1. $9\times 10^7$
  2. $0.9\times 10^6$
  3. $0.9\times 10^5$
  4. $9\times 10^6$
Question 5 Multiple Choice (Single Answer)

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

  1. $7.2\times 10^{10}$
  2. $3.6\times 10^{8}$
  3. $6\times 10^9$
  4. $4.8\times 10^{12}$
Question 6 Multiple Choice (Single Answer)

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

  1. $90,00,85,323$
  2. $9,85,03,023$
  3. $90,08,53,023$
  4. $9,85,323$
Question 7 Multiple Choice (Single Answer)

Which of the following number is in the scientific notation?

  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
Question 8 Multiple Choice (Single Answer)

Standard form of 
$900000000+3000+7$ is

  1. $90003007$
  2. $900003007$
  3. $900003000$
  4. none
Question 9 Multiple Choice (Single Answer)

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

  1. 1,080,000,000
  2. 1,080,000
  3. 180,000,000
  4. 108,000
Question 10 Multiple Choice (Single Answer)

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?

  1. $635 \times 10^6$
  2. $6.35 \times 10^8$
  3. $6.35 \times 10^{-8}$
  4. $6.35 \times 10^9$
Question 11 Multiple Choice (Single Answer)

Numeral for sixty million and sixty six is

  1. 60,000,060
  2. 60,000,066
  3. 6,000,066
  4. none of these
Question 12 Multiple Choice (Single Answer)

Commas are inserted in a number after each

  1. place
  2. digit
  3. period
  4. none of these
Question 13 Multiple Choice (Single Answer)

9849475825 is written with commas as (International System)

  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
Question 14 Multiple Choice (Single Answer)

Places in ones period are

  1. ones and tens
  2. ones, tens and hundreds
  3. tens and hundreds
  4. ones, hundreds and thousands
Question 15 Multiple Choice (Single Answer)

$10$ crore= ....... million

  1. 10
  2. 100
  3. 1
  4. 1000
Question 16 Multiple Choice (Single Answer)

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

  1. $2.0\times 10^3$
  2. $8.0\times 10^3$
  3. $4.0\times 10^1$
  4. $1.01\times 10^3$
Question 17 Multiple Choice (Single Answer)

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

  1. $1.27\times 10^5$
  2. $1.27\times 10^6$
  3. $3.7\times 10^6$
  4. $1.9\times 10^5$
Question 18 Multiple Choice (Single Answer)

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

  1. $450000$
  2. $45000$
  3. $4500$
  4. $4500000$
Question 19 Multiple Choice (Single Answer)

Express $0.008712$ in scientific notation.

  1. $8.712\times 10^3$
  2. $8.712\times 10^{-3}$
  3. $8.712\times 10^{-4}$
  4. $8.712\times 10^{-2}$
Question 20 Multiple Choice (Single Answer)

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

  1. $54290$
  2. $5429$
  3. $54209$
  4. $54029$
Question 21 Multiple Choice (Single Answer)

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

  1. $8730000$
  2. $873000$
  3. $87300000$
  4. $83700000$
Question 22 Multiple Choice (Single Answer)

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

  1. $4\times 10^4$
  2. $8\times 10^6$
  3. $6\times 10^6$
  4. $8\times 10^8$
Question 23 Multiple Choice (Single Answer)

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

  1. $6.4\times 10^{20}$
  2. $2.56\times 10^{20}$
  3. $2.56\times 10^{22}$
  4. $6.4\times 10^{19}$
Question 24 Multiple Choice (Single Answer)

The scientific notation of $923.4$ is

  1. $9.234\times { 10 }^{ -2 }$
  2. $9.234\times { 10 }^{ 2 }$
  3. $9.234\times { 10 }^{ 3 }$
  4. $9.234\times { 10 }^{ -3 }$
Question 25 Multiple Choice (Single Answer)

The scientific notation of $0.00036$ is

  1. $3.6\times { 10 }^{ -3 }$
  2. $3.6\times { 10 }^{ 3 }$
  3. $3.6\times { 10 }^{ -4 }$
  4. $3.6\times { 10 }^{ 4 }$
Question 26 Multiple Choice (Single Answer)

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

  1. $257$
  2. $2570$
  3. $25700$
  4. $257000$
Question 27 Multiple Choice (Single Answer)

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

  1. $0.03506$
  2. $0.003506$
  3. $35.06$
  4. $350.6$
Question 28 Multiple Choice (Single Answer)

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

  1. True
  2. False
Question 29 Multiple Choice (Single Answer)

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

  1. Coefficient, Mantissa
  2. Mantissa, Coefficient
  3. Standard form, Scientific form
  4. Scientific form, Standard form
Question 30 Multiple Choice (Single Answer)

Express $2.53\times 10^{-4}$ in standard notation

  1. $2.53$
  2. $0.0000253$
  3. $0.00253$
  4. $0.000253$
Question 31 Multiple Choice (Single Answer)

Convert $62000+39000$ to scietific form.

  1. $1.01\times 10^5$
  2. $1.1\times 10^5$
  3. $1.01\times 10^4$
  4. $1.1\times 10^4$
Question 32 Multiple Choice (Single Answer)

Convert $6.634\times 10^{-3}$ in decimal form.

  1. $6634$
  2. $0.006634$
  3. $0.006643$
  4. $0.0006634$
Question 33 Multiple Choice (Single Answer)

Write $1200\times 3200$ in scientific notation.

  1. $384000$
  2. $384\times 10^3$
  3. $3.84\times 10^6$
  4. $3840\times10^2$
Question 34 Multiple Choice (Single Answer)

In scientific notation, $670,000,000 + 700,000,000 =$?

  1. $1.37 \times {10}^{-9}$
  2. $1.37 \times {10}^{7}$
  3. $1.37 \times {10}^{8}$
  4. $1.37 \times {10}^{9}$
  5. $137 \times {10}^{15}$