Standard Form of Exponents

Q. The standard notation of 250000 is given by

1. $25\times {10}^5$
2. $2.5\times {10}^5$
3. $25\times {10}^4$
4. $2\times {10}^5$

Q.

Q.

Question 04

In the standard form of a rational number, the common factor of numerator and denominator is always

(a) 0

(b) 1

(c) -2

(d) 2

Q.

If diameter of the sun is 1, 400, 000, 000, then it can be expressed in the standard form as

1. 1.4 x 10¹⁰

2. 14 x 10⁸

3. 0.14 x 10¹⁰

4. 1.4 x 10⁹

Q.

Express 3908.78 in standard form

Q. The standard notation of 0.85 is .

1. $8.5\times {10}^1$
2. $8.5\times {10}^{-1}$
3. $8\times {10}^{-1}$
4. $8.5\times {10}^2$

Q.

Write the numbers using comma in International system.

(a) 804321

(b) 9705064

Q.

If the expanded form of a number is 2 x 10⁴ + 3 x 10² + 5 x 10¹ + 7, then the number is

1. 25307

2. 23570

3. 23057

4. 20357

Q. Expanded form of 216 is _____.

1. (2 X 100) + (1 X 10) + (5 X 1)
2. (2 X 100) + (1 X 10) + (6 X 1)
3. (2 X 10) + (1 X 10) + (6 X 1)
4. (2 X 100) + (1 X 100) + (6 X 1)

Q.

Write the following numbers in the expanded forms:
$279404,3006194,2806196,120719,20068$

Q. how to expres 125% in the standard form

Q.

The distance between two cities is 3245678 km. Convert it into meters and express in standard form. [2 MARKS]

Q.

What is the expanded form of (a + b)²

Q. Express 2543 in standard form.

1. 254.3 X 100
2. 25.43 X 1000
3. 2.543 X 1000
4. 2.543 X 10

Q. Express the numbers appearing in the following statements in the standard form:
(i) The distance between the Earth and the Moon is 384, 000, 000 metres.
(ii) Diameter of the Earth is 1, 27, 56, 000 metres.
(iii) Diameter of the Sun is 1, 400, 000, 000 metres.
(iv) The universe is estimated to be about 12, 000, 000, 000 years old.

Q. $0.0024+2400+12.3$ can be written as

1. $2.4\times {10}^{-3}+2.4\times {10}^{-3}+1.23$
2. $2.4\times {10}^{-3}+2.4\times {10}^{-3}+1.23\times {10}^{-1}$
3. $2.4\times {10}^{-3}+2.4\times {10}^3+1.23\times {10}^{-1}$
4. $2.4\times {10}^3+2.4\times {10}^3+1.23\times {10}^1$

Q. Consider the set A ={3, 4, 5} and the number of null relations, identity relations, universal relations, reflexove relation on A are respectively n1, n2, n3 and n4 then the value of n1+n2+n3+n4=?

Q.

Write the number in the standard form.

(I) 7860

Q. Which of the following is the standard form of $671000000$?

1. $6.71\times {10}^8$
2. $6.71\times {10}^{-8}$
3. $6.71\times {10}^9$
4. $671\times {10}^8$

Q. Express the following in standard form
1) 478.302900
2) 689000

Q.

Express the following numbers in standard form:

(i) 5, 00, 00, 000 (ii) 70, 00, 000

(iii) 3, 18, 65, 00, 000 (iv) 3, 90, 878

(v) 39087.8 (vi) 3908.78

Q.

Express the following numbers in the scientific notation or standard from:

$3,29,64,815$

Q.

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

(a) The distance between Earth and Moon is 384, 000, 000 m.

(b) Speed of light in vacuum is 300, 000, 000 m/s.

(c) Diameter of the Earth is 1, 27, 56, 000 m.

(d) Diameter of the Sun is 1, 400, 000, 000 m.

(e) In a galaxy there are on an average 100, 000, 000, 000 stars.

(f) The universe is estimated to be about 12, 000, 000, 000 years old.

(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300, 000, 000, 000, 000, 000, 000 m.

(h) 60, 230, 000, 000, 000, 000, 000, 000 molecules are contained in a drop of water weighing 1.8 gm.

(i) The earth has 1, 353, 000, 000 cubic km of sea water.

(j) The population of India was about 1, 027, 000, 000 in March, 2001.

Q.

What is the expanded form of (a + b) (a − b).

Q.

Express the following standard form.

(a) 5 × 10⁶ + 4 × 10⁵ + 2 × 10³ + 9 × 10² + 6 × 10⁰

(b) 4 × 10⁵ + 8 ×10³ + 7 × 10¹

Q.

0.09x0.007/2.7x0.014

Q.

What is the scientific notation of 165000000000000?

Q.

The value of $(1000{)}^0$ is 1000.

1. True

2. False

Q. Match the Standard form of the following

1. $2.38\times {10}^{-4}$
2. $5.3\times {10}^5$
3. $3.02\times {10}^{-5}$
4. $2.15\times {10}^7$

Q. In a zoo, deer and lions are in the ratio of $5:2$. If there are $20$ deer then how many lions are there ?

1. $4$
2. $6$
3. $8$
4. $10$