Standard and Scientific Notation

Q.

In standard form, the number $72105.4$ is written as $7.21054\times {10}^n$ , where $n$ is equal to

1. $2$

2. $3$

3. $4$

4. $5$

Q. $0.0000851$ =

1. $8.51\times {10}^{-5}$
2. $8.15\times {10}^{-5}$
3. $8.51\times {10}^{-4}$
4. $85.1\times {10}^5$

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

1. True
2. False

Q. Comparing 2 numbers x and y we find that x is 1500 times that of y. If x = $3\times {10}^6$, then y = $2\times {10}^4$

1. False
2. True

Q. How do you write 0.013 in scientific notation or standard form?

1. 1.3 x 10^-2
2. 1.3 x 10^2
3. 1.3 x 10^-3
4. 1.3 x 10^-1

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 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. The speed of light =$3\times {10}^{8}m/s$
The speed of sound =$3.43\times {10}^{2}m/s$
The speed of light is almost ${10}^6$ times that of sound

1. True
2. False

Q. 4009 written in the expanded form is

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

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. $0.0000837=8.37\times$ .

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