Multiplication of Decimals with Powers of 10

Q.

How many thousands make a million?

Q.

How many thousands make $10$ crores?

Q.

Fill in the blanks to make the statement true: $1\mathrm{lakh}={10}^{{}^{\boxed{}}}$

Q.

Write $40,000,000,000$ in its expanded form using exponents of $10$.

Q.

Write the numbers $9502$ and $7000$ in generalised form.

Q.

By selling a mirror for $₹1904$, Manoj made$12\%$ profit. For how much did he purchase the mirror?

Q. Shelton earns 85.50 dollars per day in his part-time job. How much will he earn in 100 days?

1. 8, 550 dollars
2. 855 dollars
3. 85, 500 dollars
4. 8.550 dollars

Q. The power of $10$ to make the following true is .
$6.4\times {10}^{?}=6,400$

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

Q. The hourly wage Jonathan receives for his work is 23.50 dollars. How much will he get paid for 100 hours?

1. 2, 350 dollars
2. 23, 500 dollars
3. 235, 000 dollars
4. 235.0 dollars

Q. The price of a dictionary is 35.60 dollars. A school ordered 1, 000 such dictionaries. Find the total cost of dictionaries.

1. 356, 000 dollars
2. 35, 600 dollars
3. 3, 560 dollars
4. 356 dollars

Q.

Read the story and solve the puzzle.

Nisha finds a magic lamp on her way to school. When she rubs the lamp, a genie pops out of the lamp and offers Nisha four wishes. Nisha gives her first wish to her father and her second wish to her sister, third wish to her mother and she keeps the last wish for herself.

“I wish for $9^3$ gold vases”, the father said.

“I wish for $6^5$ jars of honey”, the mother said.

“I wish for $2+4^3$ new books to read”, the sister said.

“I wish for $5\times {10}^3$ chocolates” Nisha said.

Can you find what each person wished for? Solve each question and write how much of each item the family will receive.

Father_______ Mother___________

Sister________ Nisha___________

If you were Nisha, what you would have wished for, write it as a number and an exponent.

Q. Find the exponent $(?)$ to the base $10$ in the following: $72.3\times {10}^{?}=72.3$

1. $1$
2. $0$
3. $2$

Q. Convert $976.67$ from decimal to fraction, and divide by $1,000$. The result we get is .

Q. The price of a 3D rectangle wall mirror is 14.50 dollars. Alice wants to buy 10 such wall mirrors. How much will she have to pay?

1. 14.50 dollars
2. 1.450 dollars
3. 72.50 dollars
4. 145.0 dollars

Q. Tap on the correct exponent $(?)$ to the base $10$ in the following: $6.05\times {10}^{?}=6,050$.

1. $3$
2. $4$
3. $5$

Q. 1, 000 people joined a fundraising event. The cost of a ticket for the event is 15.60 dollars. Find the total money collected in the event.

1. 156, 000 dollars
2. 156 dollars
3. 1, 560 dollars
4. 15, 600 dollars

Q. The exponent $(\ast )$ in $0.00700000\times {10}^{\ast }=7.00000$ is

Q. Sebastian sells a hand-made wooden vase for 62.45 dollars. How much will he get if he sells 100 such vases?

1. 624.50 dollars
2. 6245.00 dollars
3. 6.245 dollars
4. 124.90 dollars

Q. The price of an egg is 1.48 dollars. A restaurant has 20 branches throughout the state, placing an order for 10, 000 eggs. How much are they charged?

1. 14, 800 dollars
2. 1, 480 dollars
3. 148 dollars
4. 148, 000 dollars

Q.

Write the numbers $106$ and $359$ in generalised form.

Q. The price of a bowl is 5.50 dollars. The price of certain number of bowls is 5500 dollars. Which of the following gives the value of the exponent x?

5.50 $\times$ ${10}^x$ = 5, 500

1. 2
2. 3
3. 4
4. 5

Q. If $\text{U}=3,456\times {10}^4$ and $\text{D}=9,999\times {10}^3$, which among $\text{U}$ and $\text{D}$ has the lesser value?

1. $\text{U}$
2. $\text{D}$