Expressing Numbers in Standard Form

Q.

The standard form for $0.000064$ is

1. $64\times {10}^4$

2. $64\times {10}^{-4}$

3. $6.4\times {10}^5$

4. $6.4\times {10}^{-5}$

Q. Express 5126000 in standard form.

1. $0.5126\times {10}^8$
2. $5.126\times {10}^6$
3. $51.26\times {10}^5$
4. $5126\times {10}^3$

Q. What is the standard form of 320000?

1. $3.2\times {10}^6$
2. $3.2\times {10}^7$
3. $3.2\times {10}^5$
4. $3.2\times {10}^4$

Q.

Express the given number in standard form:
$21700000$

1. $2.1\times {10}^7$

2. $1.17\times {10}^7$

3. $1.1701\times {10}^7$

4. $2.17\times {10}^7$

Q.

Write 0.1234 in standard form.

1. It's already in standard form

2. $1.234\times {10}^{-1}$

3. $12.34\times {10}^{-2}$

4. $1234\times {10}^{-4}$

Q.

Express 5126000 in standard form.

1. $0.5126\times {10}^7$

2. $5.126\times {10}^6$

3. $51.26\times {10}^5$

4. $5126\times {10}^3$

Q. Superman flies at a speed of $2.6\times {10}^7$ m/s . If the speed of a jet is 130000 m/s, then Superman's speed is times the speed of the jet.

1. 200
2. 2000
3. 240
4. 2400

Q. $0.0000837=8.37\times$ .

1. ${10}^4$
2. ${10}^5$
3. ${10}^{-4}$
4. ${10}^{-5}$

Q.

A bank has 10^{${}^{10}$} coins and a robber will rob $\frac{1}{1000}$ of the coins how many coins are left in the bank?

1. 10⁸

2. 10⁰

3. 10⁷

4. 10¹⁰

Q. Sort the following in the increasing order of their values from top to bottom.

1. $5.7\times {10}^5$
2. $7.5\times {10}^2$
3. $7500$
4. $5700\times {10}^1$

Q.

To express the speed of the supersonic jet, which is 130000 m/s in the standard form, we write it as $1.3\times {10}^a$ m/s. The value of a is

___.

Q. Express 0.0000987 in standard form.

1. $9.87\times {10}^5$
2. $9.87\times {10}^{-5}$
3. $98.7\times {10}^6$
4. $98.7\times {10}^{-6}$

Q.

Express 5126000 in standard form.

1. $0.5126\times {10}^7$

2. $5.126\times {10}^6$

3. $51.26\times {10}^5$

4. $5126\times {10}^3$

Q. If a = $8\times {10}^3$ and b =$4\times {10}^{-2}$ then ratio a : b = 200000 : 1

1. True
2. False

Q. $(3\times {10}^2)+(2\times {10}^1)+(9\times {10}^0)$ expressed in numeral form is .

1. 329
2. 32.9
3. 3290
4. 3.29

Q. Speed of a jet is 130000 m/s. In the standard form, we write it as $1.3\times {10}^a$ m/s. The value of a is .

1. 4
2. 5
3. 6
4. -6

Q. Superman can fly at speeds almost equal to $2.6\times {10}^7$ m/s. A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):

1. The jet flies 200 times faster than Superman
2. Superman flies 2000 times faster than the jet
3. Superman flies 200 times faster than the jet
4. The jet flies 2000 times faster than Superman

Q. Which of the following numbers can be written in the form $2^n$, where $n$ is a natural number?

1. 40
2. 64
3. 120
4. 256
5. 8
6. 20
7. 32
8. 84
9. 24
10. 512

Q.

Fill in the blanks:

$.................=2.32\times {10}^6$