Scientific Notation

Q. The distance between the earth and the sun is $150$ million kilometers. This distance can be written in scientific notation as $1.5\times {10}^x$ kilometers. The value of $x$ is .

Q. M is the number 993456789098765. Find the smallest power of 10 that will exceed M.

1. 15
2. 16
3. 14
4. 17

Q. There are about 100 million smartphones in the US. Ms. Maria has one smartphone. What share of US smartphones does Ms. Maria have? Express your answer using a negative power of 10.

1. ${10}^{-6}$
2. ${10}^{-7}$
3. ${10}^{-8}$
4. ${10}^{-9}$

Q. Bacterial cells are usually considered to have a diameter of 1 to 2 microns. A micron is one millionth of a meter or ${10}^{-6}$meters. If a bacterial cell has a diameter of 1.5 microns, how will we represent it?

1. 0.000015 m
2. 0.0000015 m
3. 150000 m
4. 150.0 m

Q. A special weighing balance can fine-tune to the minimum weight of $0.00000003$ grams. Express $0.00000003$ grams in the scientific notation.

1. $0.3\times {10}^{-7}$ grams
2. $3\times {10}^{-8}$ grams
3. $3\times {10}^{-7}$ grams
4. $0.3\times {10}^{-8}$

Q. Select the bubbles having the correct representation of 57.

1. 5.7 x 10
2. 0.57 x 10
3. 0.57 x 100
4. 5.6 x 10
5. 0.057 x 1000
6. 5.7 x 0.1
7. 57
8. 57

Q. Simplify the following expression using scientific notation:
$1.24\times {10}^5+4.7\times {10}^3$

1. $5.94\times {10}^5$
2. $2.71\times {10}^5$
3. $1.287\times {10}^5$
4. $1.287\times {10}^3$

Q. Multiply and express the product in scientific notation:
$3,800,000\times 27,000$

1. $10.26\times {10}^{10}$
2. $10.26\times {10}^{11}$
3. $1.026\times {10}^{10}$
4. $1.026\times {10}^{11}$

Q. Suppose there are $60$ bees in a beehive. The number of bees doubles every hour. How many bees will be there after $100$ hours?

1. $60\times 100$
2. $60\times 2^{100-1}$
3. $60\times 2\times 100$
4. $60\times 2^{100}$