Standard Form and Expanded Forms

Q. The multiplicative inverse of ${10}^{-5}$ is

1. - 50
2. 0.00001
3. - 1, 00, 000
4. 1, 00, 000

Q. $0.00000000837$ is expressed in its standard form as $x.37\times {10}^y$, where $x$ and $y$ are integers. Express the number $y\times {10}^x$ in its normal form.

1. $900000000$
2. $-90000000$
3. $90000000$
4. $-900000000$

Q. Express $1458$ in exponential form

Q. Question 4(c)
Express the number appearing in the following statements in standard form:
(c) Diameter of Earth is 1, 27, 56, 000m.

Q.

The standard exponential form of 1, 540, 000, 000 is 1.54 x 10${}^9$.

1. True

2. False

Q. The exponential form of 20000 is

1. $2\times {10}^3$
2. $2\times {10}^4$
3. $2\times {10}^5$
4. none of these

Q.

The number of sheets of paper available for making notebooks is $75000$. Each sheet makes $8$ pages of a notebook. Each notebook contains $200$ pages. How many notebooks can be made from the paper available?

Q.

We cannot represent all whole numbers on the number line.

1. True
2. False

Q. What is 320, 000 in scientific notation?

1. 3.2 x 10^-5
2. 3.2 x 10⁶
3. 3.2 x 10⁵
4. 3.2 x 10⁴

Q.

In standard form $21600000$ is written as___________.

1. $216\times {10}^7$

2. $2.16\times {10}^5$

3. $216\times 100000$

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

Q. In exponential form, 1, 100, 000, 000, 000 can be written as:

1. $11\times {10}^{12}$
2. $1.1\times {10}^{11}$
3. $11\times {10}^{10}$
4. $1.1\times {10}^{12}$

Q.

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

Q. State the chronological order in which the following events took place.
$1$. Launching of APPLE
$2$. Launching of Rohini
$3$. Antarctica expectation
$4$. Indian cosmonaut

1. $2-1-3-4$
2. $2-3-1-4$
3. $3-1-2-4$
4. $4-1-2-3$

Q.

$(9\times {10}^{-2})+(9\times {10}^3)$ in usual form is

1. $9000.09$

2. $900.9$
3. $9000.9$
4. $900.09$

Q.

The quantity $87,800,000,000,000,000,000,000,000Kg$ equals to _________.

1. $878\times$ ${10}^{-23}m$

2. $8.78\times$ ${10}^{25}Kg$

3. $8.78\times$ ${10}^{23}Kg$

4. $87.8\times$ ${10}^{-25}Kg$

Q. Divide $0.3297$ by $0.07$, correct to $2$ significant digits.

1. $4.4$
2. $4.7$
3. $4.9$
4. None of these
   

Q. Sort the given numbers in ascending order (Highest number comes at the top).

1. 22
2. 31
3. 121
4. 17−1
5. −53

Q.

4329 = ___

1. $(4\times {10}^{-3})+(3\times {10}^1)+(2\times {10}^2)+(9\times {10}^3)$

2. $(9\times {10}^0)+(2\times {10}^1)+(3\times {10}^2)+(4\times {10}^3)$

3. $(4\times {10}^{-3})+(3\times {10}^{-2})+(2\times {10}^{-1})+(9\times {10}^0)$

4. $(9\times {10}^{-3})+(2\times {10}^{-2})+(3\times {10}^{-1})+(4\times {10}^3)$

Q.

Express $4.95\times$ ${10}^5$ in usual form.

1. 4950

2. 495000

3. 4950000

4. 49500

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.

In standard form 21600000 is written as___________.

1. 2.16 ×

2. 216 ×

3. 2.16 ×

4. 216 × 100000

Q. In exponential form, 1, 100, 000, 000, 000 can be written as:

1. $11\times {10}^{12}$
2. $1.1\times {10}^{11}$
3. $11\times {10}^{10}$
4. $1.1\times {10}^{12}$

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.

Fill in the blanks:

$.................=9.4512\times {10}^5$

Q. $0.0000837=8.37\times$ .

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

Q. The value of $2^8$ is .

1. 128
2. 256
3. 512
4. 64

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

Q. If 0.00000000837 is expressed as $x.37\times {10}^y,$ then $y\times {10}^x$ written as a numeral is

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

Q. 4009 written in the expanded form is

1. 4×103 + 9×101
2. 4×102 + 9×100
3. 4×103 + 9×100