Inter Conversion between Standard and Normal Forms

Q. Question 3(i)
Express the following numbers in standard form:
(i) 5, 00, 00, 000

Q. Question 3(iii)
Express the following numbers in standard form:
(iii) 3, 18, 65, 00, 000

Q. Express the following in standard form:
(i) 8, 19, 00, 000
(ii) 5, 94, 00, 00, 00, 000
(iii) 6892.25

Q. Question 3(v)
Express the following numbers in standard form:
(v) 39087.8

Q.

Question 82 (b)

Express the following number in standard form.
8, 19, 00, 000

Q. The diameter of Earth is $1,27,56,000m$. Express the number in the standard form.

1. $38.4\times {10}^{8}m$
2. $1.2756\times {10}^{8}m$
3. $1.2756\times {10}^{7}m$
4. $1.2756m$

Q.

Question 74 (a)

Express the following in usual form.
$8.01\times {10}^7$

Q.

Question 19

In standard form 72 crore is written as:
(a)$72\times {10}^7$
(b)$72\times {10}^8$
(c)$7.2\times {10}^8$
(d)$7.2\times {10}^7$

Q. The standard form of 0.000064 is

1. 6.4x10^8
2. 6.4x10^(-8)
3. 6.4x10^5
4. 6.4x10^(-5)

Q.

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

Q.

Question 11

In standard form, the number 72105.4 is written as $7.21054\times {10}^n,$ where $n$ is equal to
(a) 2
(b) 3
(c) 4
(d) 5

Q.

Question 89:

In our own planet Earth, 361, 419, 000 square kilometre of area is covered with water and 148, 647, 000 square kilometre pf area is covered by land. Find the approxiate ratio of area covered with water to area covered by land converting these numbers into scientific notation.

Q.

Express the following numbers in standard form.

24 billion

Q.

Express the following numbers in standard form

$5$ million.

Q. Question 3(iv)
Express the following numbers in standard form:
(iv) 3, 90, 878

Q. Question 4(i)
Express the number appearing in the following statements in standard form:
(i) The Earth has 1, 353, 000, 000 cubic km of seawater.

Q.

Express as power notation $512$.

Q.

Question 82 (c)

Express the following numbers in standard form.
5, 83, 00, 00, 00, 000

Q.

Find: $0.03\times 1000$

Q. The scientific notation of 165000 is given by:

1. $1.65\times {10}^7$
2. $16.5\times {10}^6$
3. $1.65\times {10}^5$
4. $1.65\times {10}^4$

Q.

Express in usual form: 5.06 x ${10}^{-4}$
___

Q.

Find: $0.3÷100$

Q.

Question 17

In standard form, the number 829030000 is written as $K\times {10}^8,$ where $K$ is equal to:
(a) 82903
(b) 829.03
(c) 82.903
(d) 8.2903

Q. Question 4(f)
Express the number appearing in the following statements in standard form:
(f) The universe is estimated to be about 12, 000, 000, 000 year sold.

Q.

Write 0.1234 in the standard form.

1. It's already in standard form

2. 1.234 × 10^-1

3. 12.34 × 10^-2

4. 1234 × 10^-4

Q.

Express the number appearing in the following statement in standard form: $60,230,000,000,000,000,000,000$ molecules are contained in a drop of water weighing $1.8gm$.

Q. Question 4(d)
Express the number appearing in the following statements in standard form:
(d) Diameter of the Sun is 1, 400, 000, 000m.

Q. The given table shows the freezing points in ${}^{o}F$ of different gases at sea level. Convert each of these into ${}^{o}C$ to the nearest integral value using the relation and complete the table, $C=\frac{5}{9}(F-32)$
$\begin{array}{ccc}& & \\ \text{Gas}& \text{Freezing point at sea level}{(}^{o}F)& \text{Freezing point at sea level}{(}^{o}C)\\ \text{Hydrogen}& -435& \\ \text{Krypton}& -251& \\ \text{Oxygen}& -369& \\ \text{Helium}& -458& \\ \text{Argon}& -309& \end{array}$

Q. Question 3(vi)
Express the following numbers in standard form:
(vi) 3908.78

Q. Express 0.0000000012 in standard form.

1. $12\times {10}^{-9}$
2. $1.2\times {10}^9$
3. $12\times {10}^9$
4. $1.2\times {10}^{-9}$