Relation between Odd Numbers Powers of 2

Q.

Express the number 0.00000000837 in the standard form.

1. 8.37$\times {10}^9$

2. 8.37$\times {10}^{-10}$

3. 8.37$\times {10}^{10}$

4. 8.37$\times {10}^{-9}$

Q.

Convert $75$ into binary.

Q.

What is a perfect number? Is 496 a perfect number? [4 MARKS]

Q.

The standard form of the number $12345$ is

1. $1234.5\times {10}^1$

2. $123.45\times {10}^2$

3. $12.345\times {10}^3$

4. $1.2345\times {10}^4$

Q. The last digit of $8^{1026}$ is.

1. $8$
2. $4$
3. $2$
4. $6$

Q. The average distance between the earth and sun is 149000000. This distance can be written as ___________.

1. $1.49\times {10}^8$
2. $14.9\times {10}^7$
3. $0.149\times {10}^9$
4. $14.9\times {10}^8$

Q.

Write 27 as the sum of powers of 2

1. $2^4+2^3+2^1+3$

2. $2^4+2^3+2^1+2$

3. $2^4+2^3+2^1+1$

4. $2^5+2^3+2^1+1$

Q.

Write 49 as the sum of powers of 2

1. $2^6+2^4+1$

2. $2^5+2^3+1$

3. $2^5+2^4+1$

4. $2^5+2^4+2^1$

Q. Which of the following statements are true about the perfect numbers ?

1. A number that equals the sum of its divisors
2. A number that equals the sum of its divisors, excluding the number itself
3. $6$ is a perfect number.
4. A number that equals the sum of its factors, minus the number itself.

Q.

The value of π is equal to 3.141592653…………

Which one of the following is the most accurate approximation of $\pi$?

1. 157/50

2. 22/7

3. 16/5

4. 355/113

Q.

Find the average of all five digit numbers that can be formed using all the digits $1,2,3,4,5$ exactly once?

1. $33453$
2. $34333$
3. $33333$
4. None of these

Q. Find the value of
$(1000-{999}^0)\times 1000$

1. 1000
2. 99000
3. 999000
4. 1000000

Q. Number that can be expressed as sum of powers of '2' as, $2^7+2^5+2^4+2$ is.

1. $150$
2. $170$
3. $180$
4. $190$

Q. Find the value of
$(1000-{999}^0)\times 1000$

1. 1000
2. 99000
3. 999000
4. 1000000

Q.

Write 29 as the sum of powers of 2

1. $2^4+2^3+2^3+1$

2. $2^5+2^3+2^4+1$

3. $2^4+2^3+2^2+1$

4. $2^4+2^3+2^1+2$

Q.

Round the number. Write the result as a product of a single digit and a power of $10.$

$0.000000647$

Q.

Write 47 as the sum of powers of 2

1. $2^5+2^3+2^7+2^1+1$

2. $2^5+2^3+2^2+2^1+1$

3. $2^5+2^3+2^2+2^1+3$

4. $2^5+2^4+2^2+2^1+1$

Q. Pair the following numbers with their corresponding last digit.

1. $2^4$
2. $6$
3. $3^4$
4. $1$
5. $5^4$
6. $5$
7. $6^4$
8. $6$