Word Problems on Exponents

Q. If we fold a piece of paper 42 times, its thickness will actually be equal to the distance between the Earth and the Moon. How many more times do we have to fold a piece of paper so that its thickness is twice the distance between the Earth and the Moon?

1. 0
2. 1
3. 2
4. 3

Q.

To best estimate the quotient in scientific notation, what number should replace $m?$

Startfraction $6.33$ times $10$ Superscript $9$ Baseline Over $1.79$ times $10$ Superscript $5$ Baseline EndFraction almost equals $3$ times $10$ Superscript $m$

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. $60\times 2^{100}$

Q. If we fold a piece of paper 42 times, its thickness will actually be equal to the distance between the Earth and the Moon. How many more times do we have to fold a piece of paper so that its thickness is twice the distance between the Earth and the Moon?

1. 0
2. 1
3. 2
4. 3

Q.

A member of the school track team ran for a total of $179.3miles$ in practice over$61.5days$. About how many miles did he run per day?

Q.

express the following as powers of 10.

$c)10,000,000,000,000,000,000,000,000=\_\_\_\_\_\_\_\_\_\_\_$

Q. The population of city $A$ is $4.81\times {10}^6$, the population of city $B$ is $1.9\times {10}^5$ , and the population of city $C$ is $7,421,000$. Arrange the cities in increasing order of their population.

Q. Carl ate $3^5$ jelly beans and Buffy ate $5^3$ jelly beans. Who ate more jelly beans?

1. Carl
2. Buffy
3. Both are the same
4. Data insufficient

Q.

The prefix mega means _________ times.

Q. Joe bought a rectangular shaped farm. The length of his farm is $2^5\text{ft}$ and the breadth is $3^5\text{ft}$. What is the area of Joe's farm in ${\text{ft}}^2?$

1. $6^5$
2. $6$
3. ${1.5}^5$
4. None of the above

Q. Carl ate $3^5$ jelly beans and Buffy ate $5^3$ jelly beans. Who ate more jelly beans?

1. Carl
2. Buffy
3. Both are the same
4. Data insufficient

Q. How many mobile phones can a manufacturer produce in $2,000$ days if it can produce $4\times {10}^5$ phones everyday?

1. $8\times {10}^5$
2. $8\times {10}^8$
3. $8\times {10}^{15}$
4. None of the above

Q. What is the $9^{th}$ term in the following sequence of natural numbers?
$1,1+3,1+3+5,1+3+5+7,.....$

1. $9^2$
2. $2^9$
3. $9^3$
4. $3^9$

Q. Which of the following represents the amount of dollars after $n$ years if there is an annual increment of $25\%$ on the principal amount of $\$18?$

1. $\$18(0.25{)}^n$
2. $\$18(1.25{)}^{(n-1)}$
3. $\$18(1.25{)}^{(n+1)}$
4. $\$18(1.25{)}^n$