Exponents and Powers Test

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Exponents and Powers Test - 17

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers should be subtracted from
$$4.5 \times {10}^{31}$$ to get $$3 \times {10}^{31}$$?

A
$$3.5 \times {10}^{31}$$

B
$$3.5 \times {10}^{30}$$

C
$$3 \times {10}^{32}$$

D
$$1.5 \times {10}^{31}$$

Solution

Required number $$= 4.5 \times {10}^{31} - 3\times {10}^{31}$$ $$= (4.5 - 3) \times {10}^{31} = 1.5 \times {10}^{31} $$
$$\therefore$$ D is a correct answer.
Question 2
1 / -0

Mark the correct answer:
Is $$4 \times {10}^8 $$ greater than $$2^2 \times {10}^8 $$?

A
Yes

B
No

C
Can not say anything

D
None of these

Solution

Given numbers are $$4 \times {10}^8 $$ and $$2^2 \times {10}^8 $$
$$\Rightarrow 4 \times {10}^8 $$ and $$ 2 \times 2 \times {10}^8 $$
$$\Rightarrow 4 \times {10}^8 $$ and $$4 \times {10}^8 $$
$$\therefore $$ Both the numbers are same, hence B is the correct answer.
Question 3
1 / -0

Subtract the following numbers:
$$6.5 \times {10}^{23}$$ and $$3.2 \times {10}^{23}$$

A
$$3.3 \times {10}^{23} $$

B
$$3.3 \times {10}^{22} $$

C
$$3.2 \times {10}^{23} $$

D
$$3.1 \times {10}^{23} $$

Solution

Given numbers are $$6.5 \times {10}^{23}$$ and $$3.2 \times {10}^{23}$$
$$6.5 \times {10}^{23} - 3.2 \times {10}^{23}$$ $$= (6.5 - 3.2) \times {10}^{23} = 3.3 \times {10}^{23} $$
$$\therefore$$ A is a correct answer.
Question 4
1 / -0

Which of the following numbers is greatest of all?
$$2^3 \times {10}^7, 3^2 \times {10}^7$$ and $$4^2 \times {10}^7$$

A
$$2^3 \times {10}^7$$

B
$$3^2 \times {10}^7$$

C
$$4^2 \times {10}^7$$

D
Can't say anything

Solution

Given numbers are $$2^3 \times {10}^7, 3^2 \times {10}^7$$ and $$4^2 \times {10}^7$$
$$2^3 \times {10}^7 = 2 \times 2 \times 2 \times 10000000 = 80000000 $$
$$3^2 \times {10}^7 = 3 \times 3 \times 10000000 = 90000000$$
$$4^2 \times {10}^7 = 4 \times 4 \times 10000000 = 160000000$$
Hence, $$4^2 \times {10}^7$$ is greatest number
$$\therefore $$ C will be correct answer.
Question 5
1 / -0

Fill in the blank:
$$25 \times {10}^5$$ is ______ $$2.5 \times {10}^5$$.

A
less than

B
greater than

C
can not say anything

D
none of these

Solution

Since, we have
$$25 \times {10}^5$$ and $$2.5 \times {10}^5$$
$$\Rightarrow 25 \times (100000)$$ and $$\dfrac{25}{10} \times (100000)$$
$$\Rightarrow 2500000$$ and $$25 \times (10000)$$
$$\Rightarrow 2500000$$ and $$250000$$
$$\Rightarrow$$ $$2500000$$ is greater than $$250000$$
Hence, B will be correct.
Question 6
1 / -0

Find the missing term:
$$3.1 \times {10}^{49} + 3 \times {10}^{49} = $$ $$7.2 \times {10}^{49} - ? $$

A
$$ 1.1 \times {10}^{49}$$

B
$$7.1 \times {10}^{49}$$

C
$$7.2 \times {10}^{48}$$

D
$$72 \times {10}^{49}$$

Solution

Missing term $$ =7.2 \times {10}^{49} - 3.1 \times {10}^{49} - 3 \times {10}^{49} = 1.1 \times {10}^{49}$$
Hence, A be the correct answer.
Question 7
1 / -0

Evaluate: $$3.2 \times {10}^8 + 5.2 \times {10}^8$$

A
$$5.4 \times {10}^8$$

B
$$6.4 \times {10}^8$$

C
$$7.4 \times {10}^8$$

D
$$8.4 \times {10}^8$$

Solution

Given numbers are
$$3.2 \times {10}^8$$ and $$5.2 \times {10}^8$$
$$3.2 \times {10}^8 + 5.2 \times {10}^8$$
$$= (3.2 + 5.2) \times{10}^8 $$
$$= 8.4 \times{10}^8$$
$$\therefore$$ D is a correct answer.
Question 8
1 / -0

Add the following numbers:
$$6.5 \times {10}^{21}$$ and $$1.1 \times {10}^{22}$$

A
$$7.6 \times {10}^{21} $$

B
$$7.6 \times {10}^{22} $$

C
$$17.5 \times {10}^{22} $$

D
$$17.5 \times {10}^{21} $$

Solution

Given numbers are $$6.5 \times {10}^{21}$$ and $$1.1 \times {10}^{22}$$
$$6.5 \times {10}^{21}$$ + $$1.1 \times {10}^{22}$$
$$= 6.5 \times {10}^{21}$$ + $$1.1 \times 10 \times {10}^{21}$$
$$= 6.5 \times {10}^{21}$$ + $$11 \times {10}^{21}$$
$$= (6.5 + 11) \times {10}^{21}$$
$$= 17.5 \times {10}^{21} $$
Hence, D will be correct answer.
Question 9
1 / -0

Which of the following numbers is least?
$$7.77 \times {10}^4 $$, $$77.7 \times {10}^4$$ and $$777 \times {10}^4$$

A
$$7.77 \times {10}^4 $$

B
$$77.7 \times {10}^4$$

C
$$777 \times {10}^4$$

D
Can't say anything

Solution

Given numbers are $$7.77 \times {10}^4 $$, $$77.7 \times {10}^4$$ and $$777 \times {10}^4$$
$$7.77 \times {10}^4 = 7.77 \times 10000 = 77700$$
$$77.7 \times {10}^4 = 77.7 \times 10000 = 777000$$
And
$$777 \times {10}^4 = 777 \times 10000 = 7770000$$
Clearly, $$7700$$ is least
Hence, A will be correct answer.
Question 10
1 / -0

Choose the correct answer:
In $${4}^3$$, ______ is the base.

A
$$3$$

B
$$4$$

C
$$7$$

D
none of these

Solution

In $${4}^3$$, $$4$$ is the base.

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Exponents and Powers Test - 17

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Exponents and Powers Test - 17

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Question 1

$$3.5 \times {10}^{31}$$

$$3.5 \times {10}^{30}$$

$$3 \times {10}^{32}$$

$$1.5 \times {10}^{31}$$

Solution

Question 2

Yes

No

Can not say anything

None of these

Solution

Question 3

$$3.3 \times {10}^{23} $$

$$3.3 \times {10}^{22} $$

$$3.2 \times {10}^{23} $$

$$3.1 \times {10}^{23} $$

Solution

Question 4

$$2^3 \times {10}^7$$

$$3^2 \times {10}^7$$

$$4^2 \times {10}^7$$

Can't say anything

Solution

Question 5

less than

greater than

can not say anything

none of these

Solution

Question 6

$$ 1.1 \times {10}^{49}$$

$$7.1 \times {10}^{49}$$

$$7.2 \times {10}^{48}$$

$$72 \times {10}^{49}$$

Solution

Question 7

$$5.4 \times {10}^8$$

$$6.4 \times {10}^8$$

$$7.4 \times {10}^8$$

$$8.4 \times {10}^8$$

Solution

Question 8

$$7.6 \times {10}^{21} $$

$$7.6 \times {10}^{22} $$

$$17.5 \times {10}^{22} $$

$$17.5 \times {10}^{21} $$

Solution

Question 9

$$7.77 \times {10}^4 $$

$$77.7 \times {10}^4$$

$$777 \times {10}^4$$

Can't say anything

Solution

Question 10

$$3$$

$$4$$

$$7$$

none of these

Solution

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