Standard Form of Numbers - Class VIII

Converting numbers to and from standard/scientific notation, finding exponents, and applying standard form to real-world measurements

24 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

In standard from, the number 829030000 is written as $K\times { 10 }^{ 8 }$ where K is equal to 

  1. 82903
  2. 829.03
  3. 82.903
  4. 8.2903
Question 2 Multiple Choice (Single Answer)

Charge of an electron is $0.00000000000000000016$ coulomb. This number can also be written in standard form as:

  1. $\displaystyle 1\cdot 6\times 10^{19}$
  2. $\displaystyle 1\cdot 6\times 10^{-20}$
  3. $\displaystyle 1\cdot 6\times 10^{-19}$
  4. $\displaystyle 1\cdot 6\times 10^{18}$
Question 3 Multiple Choice (Single Answer)

Size of a bacteria is $\displaystyle 1.5\times 10^{-7}m$. This number can also be written as:

  1. $0.00000015$
  2. $0.0000015$
  3. $0.000000015$
  4. $15000000$
Question 4 Multiple Choice (Single Answer)

The usual form of $\displaystyle 6\cdot 8793\times 10^{4}$ is:

  1. $687930$
  2. $68793$
  3. $6879.3$
  4. $6879300$
Question 5 Multiple Choice (Single Answer)

Which of the following statement is false?

  1. $\displaystyle 4\cdot 59\times 10^{-3}=0.00459$
  2. $\displaystyle 7\times 10^{-5}=0.00007$
  3. $\displaystyle 1\cdot 03\times 10^{-3}=1030$
  4. $\displaystyle 8\cdot 8\times 10^{-4}=0.00088$
Question 6 Multiple Choice (Single Answer)

Which of the following expressions is true?

  1. $2940000=$$\displaystyle 2\cdot 94\times 10^{5}$
  2. $502000=$$\displaystyle 5\cdot 02\times 10^{5}$
  3. $3683000=$$\displaystyle 3\cdot 683\times 10^{5}$
  4. $40404000=$$\displaystyle 4\cdot 0404\times 10^{5}$
Question 7 Multiple Choice (Single Answer)

When $70, 000$ is written as $7.0\times10^n$, what is the value of $n$?

  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$
Question 8 Multiple Choice (Single Answer)

The standard form of $15240000$ is __________.

  1. $1.524\times 10^{7}$
  2. $1.524\times 10^{6}$
  3. $15.24\times 10^{7}$
  4. $1.524\times 10^{8}$
Question 9 Multiple Choice (Single Answer)

Which of the following is equivalent to $ 7.7 \times 10^{-6}$?

  1. $0.00000077$
  2. $0.0000077$
  3. $0.000077$
  4. $0.00077$
Question 10 Multiple Choice (Single Answer)

The number $3.02 \times10^{-6}$ can be expressed in decimal form as:

  1. $0.0000302$
  2. $0.00000302$
  3. $0.000302$
  4. $0.00302$
Question 11 Multiple Choice (Single Answer)

The number $3\times10^{-8}$ can also be expressed as:

  1. $0.000003$
  2. $0.00003$
  3. $0.00000003$
  4. $0.0003$
Question 12 Multiple Choice (Single Answer)

The distance of the earth from the sun is 149,000,000 km. In scientific notation the distance is:

  1. $\displaystyle 149\times 10^{6}$ km
  2. $\displaystyle 14.9\times 10^{7}$ km
  3. $\displaystyle 1.49\times 10^{8}$ km
  4. $\displaystyle 0.149\times 10^{9}$ km
Question 13 Multiple Choice (Single Answer)

The standard form of $0.000000000000487$ is ______

  1. $\displaystyle 4\cdot 87\times 10^{-13}$
  2. $\displaystyle 4\cdot 87\times 10^{-14}$
  3. $\displaystyle 4\cdot 87\times 10^{-15}$
  4. $\displaystyle 4\cdot 87\times 10^{-12}$
Question 14 Multiple Choice (Single Answer)

The standard form of $8,60,00,00,00,00,000$ is

  1. $\displaystyle 8\cdot 6\times 10^{13}$
  2. $\displaystyle 8\cdot 6\times 10^{-13}$
  3. $\displaystyle 8\cdot 6\times 10^{12}$
  4. $\displaystyle 8\cdot 6\times 10^{14}$
Question 15 Multiple Choice (Single Answer)

A number is said to be in the standard form when it is written as $\displaystyle k\times 10^{n}$ where $n$ is an integer and:

  1. $\displaystyle 1< k< 10$
  2. $\displaystyle 1< k\leqslant 10$
  3. $\displaystyle 1\leqslant k< 10$
  4. $\displaystyle 1\leqslant k\leqslant 10$
Question 16 Multiple Choice (Single Answer)

The usual form of $\displaystyle 5\times 10^{-8}$ is

  1. $0.000005$
  2. $0.00000005$
  3. $0.0000005$
  4. $0.000000005$
Question 17 Multiple Choice (Single Answer)

The usual form of $\displaystyle 4\cdot 56\times 10^{-5}$ is:

  1. $0.0000456$
  2. $0.00000456$
  3. $0.000456$
  4. $456000$
Question 18 Multiple Choice (Single Answer)

If $0.00044=$$\displaystyle 4\cdot 4\times 10^{n}$ then, find the value of $ n$.

  1. $4$
  2. $5$
  3. $-4$
  4. $-5$
Question 19 Multiple Choice (Single Answer)

Find the value of $n$ such that $502000000=$$\displaystyle 5\cdot 02\times 10^{n}$.

  1. $5$
  2. $7$
  3. $-8$
  4. $8$
Question 20 Multiple Choice (Single Answer)

The standard form of $\displaystyle \frac{1}{10000000}$ is:

  1. $\displaystyle 1\times 10^{-7}$
  2. $\displaystyle 0\cdot 1\times 10^{-7}$
  3. $\displaystyle 1\times 10^{7}$
  4. $\displaystyle 1\times 10^{-6}$
Question 21 Multiple Choice (Single Answer)

The distance of the sun from the earth is $1,49,60,00,00,000$ m. Express it in standard form.

  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. $\displaystyle 1\cdot 496\times 10^{11}$
Question 22 Multiple Choice (Single Answer)

The size of a plant cell is $0.00005473$ m. This number can also be written as

  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. $\displaystyle 5\cdot 473\times 10^{5}$
Question 23 Multiple Choice (Single Answer)

The usual form of $\displaystyle 2\cdot 73\times 10^{12}$ is:

  1. $273000000000$
  2. $2.730000000000$
  3. $2730000000000$
  4. $27300000000000$