Inter Conversion between Standard and Normal Forms

Q.

The distance from the Earth to the Sun is 149, 600, 000, 000 m. Express it in standard form.

Q.

Speed of light in vaccum is $300000000\text{m/s}$. Express it in standard form.

Q. Question 1(i)
Express the following numbers in standard form:
0.0000000000085

Q.

Question 2(ii)
Express the following numbers in usual form:
$4.5\times {10}^4$

Q.

Write in the usual form: $100\times a+10\times c+b$

Q.

The standard form of $21600000$ is

1. $0.216\times {10}^8$

2. $21.6\times {10}^6$

3. $216\times {10}^5$

4. $2.16\times {10}^7$

Q. Question 2(iv)
Express the following numbers in usual form:
$1.0001\times {10}^9$

Q.

(i)1 micron $=\frac{1}{1000000}$m. Express it in standard form.

(ii)Size of a bacteria =0.0000004 m. Express it in standard form.

(iii)Thickness of a papaer =0.03 mm. Express it in standard form.

Q.

(0.424242.......)-(0.353535.....)

Q.

The distance of earth from sun is 1, 49, 600, 000, 000 meters. This distance can be expressed in the standard form using exponent as

1. 0.1496 × 10¹² meter

2. 1.496 × 10¹¹ meter

3. 1496 × 10⁸ meter

4. 14.96 × 10¹⁰ meter

Q.

Question 109

Express $\frac{1.5\times {10}^6}{2.5\times {10}^{-4}}$ in the standard form.

Q.

Very small numbers can be expressed in standard form by using ___________. Fill in the blank to make the statement true.

Q.

3670000 in standard form is

$\left(a\right)367\times {10}^4$

$\left(b\right)36.7\times {10}^5$

$\left(c\right)3.67\times {10}^6$

(d)None of these

Q.

Question 100

Divide 293 by 1000000 and express the result in standard form:

Q.

Express the following numbers in standard form.

(i) 0.0000000000085 (ii) 0.00000000000942

(iii) 6020000000000000 (iv) 0.00000000837

(v) 31860000000

Q.

Express the number appearing in the following statement in standard form: The earth has $1,353,000,000$ cubic km of sea water.

Q.

Question 110

Some migratory birds travel as much as 15000 km to escape the extreme climatic conditions at home. Write the distance in meteres using scientific notation.

Q. Question 2(iii)
Express the following numbers in usual form:
$3\times {10}^{-8}$

Q.

What is the standard form of 0.0023?

1. 23 $\times$ ${10}^{-3}$

2. 2.3 $\times$ ${10}^3$

3. 23 $\times$ ${10}^3$

4. 2.3 $\times$ ${10}^{-3}$

Q.

Question 106

Write 390000000 in the standard form.

Q.

Question 107

Write 0.000005678 in the standard form.

Q.

Express the following in usual form.

$1.75\times {10}^{-3}$

Q.

$0.000367\times {10}^4$ in usual form is

(a)3.67

(b)36.7

(c)0.367

(d)0.0367

Q.

one micron is _____ of meter.

Q. Express each of the following rational numbers in standard form:
(i) $\frac{-12}{30}$
(ii) $\frac{-14}{49}$
(iii) $\frac{24}{-64}$
(iv) $\frac{-36}{-63}$

Q.

Question 82 (a)

Express the following numbers in standard form.
76, 47, 000

Q.

25 × 2x^-4 ÷ 5^-2 × 10x^-6 = 125x^2

Q.

Question 86:

Express the given information in Scientific notation (standard form) and then arrange them in ascending order of their size.

$\begin{array}{ccc}S.N.& DesertsoftheWorld& Area\left(insqkm\right)\\ 1.& Kalahari,SouthAfrica& 932,400\\ 2.& Thar,India& 199,430\\ 3.& Gibson,Australia& 155,400\\ 4.& GreatVictoria,Australia& 647,500\\ 5.& Sahara,NorthAfrica& 8598,800\end{array}$

Q.

Question 138

About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation.

Q.

Express the number appearing in the following statements in standard form.

(i) 1 micron is equal to m.

(ii) Charge of an electron is 0.000, 000, 000, 000, 000, 000, 16 coulomb.

(iii) Size of a bacteria is 0.0000005 m

(iv) Size of a plant cell is 0.00001275 m

(v) Thickness of a thick paper is 0.07 mm