Multiplication of a Decimal with Powers of 10.

Q. When we multiply a decimal number by${10}^{17},$ how many places does a decimal point move to the right?

Q.

$0.12\times 0.012=\_\_$

1. $0.0144$

2. $0.00144$

Q. To multiply a decimal number by 100, shift the decimal point to the right by

Q. If $a=1.1234\times 100$ and $b=0.11234\times 1000,$ then

1. $a<b$
2. $a>b$
3. $a\ge b$
4. $a=b$

Q. Evaluate:
$0.0071\times 10000=$

Q. When we multiply a decimal number by 10, the decimal point moves to the right by one unit.

1. True
2. False

Q. State whether the given statement is true of false:

When multiplying a decimal by a power of ten, we move the decimal place to the left as many places as the power of ten has 0s.

1. true
2. false

Q. A book costs $\$\mathrm{23.476.}$ How much will be paid for 100 such books?
$

Q. The cost of bricks for the entire house is 23, 000 dollars. Which of the following expresses this in scientific notation?

1. $2.3\times {10}^3$
2. $2.3\times {10}^4$
3. $2.3\times {10}^5$
4. $2.3\times {10}^6$

Q. Select the multiplier to make the following expression correct.

$6.5789\times \text{\_\_\_\_}=6578.9$

1. $10$
2. $100$
3. $1000$
4. $10000$

Q. Which of the following is incorrect?

1. $34.4\times 10=344$
2. $1.04\times 100=104$
3. $1324.546\times 100=132454.6$
4. None of the above

Q.

Evaluate : $2.34\times 8$

Q.

Find $0.728\times 0.37$

Q.

Put a decimal point at the correct place in the product - $2.5\times 3.5=875$

Q.

Evaluate : $5.4\times 5$

Q.

Put a decimal point at the correct place in the product - $4.1\times 8=328$

Q.

The forest dwellers collect firewood in some parts of forest that is 0.123 of entire area. Which of the following, expresses this in percentage form?

1. 12.3%
2. 123%
3. 1.23%
4. 0.12%