Scientific Notation

Q.

During an experiment, a signal from a spaceship reached the ground station in five minutes. What was the distance of the spaceship from the ground station? The signal travels at the speed of light, that is, 3 × 10⁸m/s.

Q.

How do you write $2.5$ million in scientific notation.

Q.

How many thousands make one crore?

Q. The total straight line distance between India and USA is 12053 KM (kilometers). What is the scientific form of this distance in meters?

1. 1.2053 $\times {10}^7$
2. 1.2053 $\times {10}^6$
3. 12.053 $\times {10}^7$
4. 12.053 $\times {10}^6$

Q.

A human heart pumps about $7\times {10}^{-2}$ liter of blood per heartbeat. The average human heart beats about $72$ times per minute. How many liters of blood does a heart pump in $1$ year? $70$ years?

Q.

Write the following numbers in the expanded form with exponential notation:

$70,78,282$

Q. A healthy human heart beats at an average rate of $80$ beats per minute. How many times the heart will beat in $10$ days?

1. $1.152$ Billion
2. $1.152$ Million
3. $1.152\times {10}^7$
4. $1.152$ Thousand

Q. Which of the following is the correct scientific notation of $2.5147$?

1. $25.147\times {10}^1$
2. $2.5147\times {10}^1$
3. $2.5147\times {10}^0$
4. None of the above

Q.

Write the number in scientific notation.

$25,000,000$

Q. Scientific notation of $7540000$ is

1. $75.4\times {10}^5$
2. $754\times {10}^4$
3. $7.54\times {10}^6$
4. $0.754\times {10}^7$

Q.

Express the given number in the scientific notation:

$8008$

Q. Some of the migratory birds travel as much as $12,487$ km to escape the extreme climatic conditions at home. Express the distance travelled by the migratory birds in scientific notation.

1. $12.487\times {10}^3$ km
2. $12487\times {10}^0$ km
3. $1.2487\times {10}^4$ km
4. $0.12487\times {10}^5$

Q.

Fill in the blanks:

$7\times {10}^8+9\times {10}^7+1\times {10}^6+2\times {10}^5+3\times {10}^4+6\times {10}^3+5\times {10}^2+9\times {10}^1+9\times {10}^0=...................$

Q. Match the numbers with their respective scientific notations:

1. $5.87$ Billion
2. $5.87$ Thousand
3. $5.87\times {10}^8$
4. $5.87$ Million

Q. Choose the correct option for the scientific notation of $(300{)}^4.$

1. $81\times {10}^8$
2. $8.1\times {10}^9$
3. $810\times {10}^7$
4. $0.81\times {10}^{10}$

Q. As you know that $1\times {10}^6=$ 1 Million and $1\times {10}^9=$ 1 Billion. Using the mentioned notations, select the correct scientific notation of 1304000000

1. 13.04 Billion
2. 1.304 Million
3. 130.4 Million
4. 1.304 Billion
5. 13.04 Billion

Q.

Write each of the following in the expanded form :-

(a) $x^4{y}^2$

Q.

Fill in the blanks:

$5\times {10}^7+4\times {10}^6+2\times {10}^5+1\times {10}^4+3\times {10}^3+2\times {10}^2+1\times {10}^1+3\times {10}^0=...................$

Q. The available money in Burger's bank is $\$127$ billion. Select the correct option towards representing $\$127$ billion in a scientific notation.

1. $\$127\times {10}^9$
2. $\$12.7\times {10}^{10}$
3. $\$1.27\times {10}^{11}$
4. $\$0.127\times {10}^9$

Q.

Write in explained form:

$8597=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Q. Which of the following denotes the scientific notation of the number $172,900?$

1. $1.7\times {10}^5$
2. $1.72\times {10}^6$
3. $1.729\times {10}^5$
4. None of the above