Divide numbers ending in zeroes: word problems
Key Points to Remember |
- Numbers ending in zeroes are multiples of 10, 100, 1,000, etc.
- When dividing, you can first divide the non-zero digits, then add the zeroes at the end.
- Always check your answer by multiplying!
Step-by-Step Method |
- Ignore the zeroes for now.
- Divide the main numbers.
- Add the zeroes back to your answer if needed.
Examples |
Example 1:
Divide 600 by 3.
- Ignore the zeroes: 6 ÷ 3 = 2
- There are two zeroes in 600, so add them back: 200
- Answer: 600 ÷ 3 = 200
Example 2:
Divide 4,000 by 8.
- Ignore the zeroes: 40 ÷ 8 = 5
- There are two zeroes left in 4,000, so add them back: 500
- Answer: 4,000 ÷ 8 = 500
Word Problems |
Problem 1:
A school has 900 pencils. If each box can hold 30 pencils, how many boxes are needed?
- Divide: 900 ÷ 30
- Ignore zeroes: 90 ÷ 3 = 30
- Answer: 30 boxes
Problem 2:
A farmer packs 2,400 apples equally into 6 baskets. How many apples are in each basket?
- Divide: 2,400 ÷ 6
- Ignore zeroes: 24 ÷ 6 = 4
- Add the two zeroes: 400
- Answer: 400 apples per basket
Problem 3:
A factory produces 5,000 bottles in 10 days. How many bottles are made each day?
- Divide: 5,000 ÷ 10
- Ignore zeroes: 500 ÷ 1 = 500
- Answer: 500 bottles per day
Practice Questions |
- 800 ÷ 4 = ?
- 7,000 ÷ 7 = ?
- 2,100 ÷ 30 = ?
- 12,000 ÷ 6 = ?
Tips |
- Always check if you can simplify the numbers by removing the same number of zeroes from both the dividend and the divisor.
- Practice with different numbers to get comfortable!
Summary |
Dividing numbers ending in zeroes is easy if you break the problem into simple steps. Remember to ignore the zeroes at first, divide the main numbers, and then add the zeroes back to your answer.
🔔 A city has ₹36,000 to buy new light bulbs for the street lamps. If each light bulb costs ₹6,
how many new light bulbs will the city be able to buy?
Divide the total amount of money by the cost of each light bulb. Divide ₹36,000 by ₹6.
First divide 36 by 6.
36 ÷ 6 = 6
Now count the zeroes.
36,000 ÷ 6 = ?
There are 3 zeroes. Write 3 zeroes in the answer.
₹36,000 ÷ ₹6 = 6,000
The city will be able to buy 6,000 light bulbs.
🔔 A real estate agent has ₹4,800 to spend on newspaper ads. If each ad costs ₹8,
how many ads will the real estate agent be able to buy?
Divide the amount of money by the cost of each newspaper ad. Divide ₹4,800 by ₹8.
First, divide 48 by 8.
48 ÷ 8 = 6
Now count the zeroes.
4,800 ÷ 8 = ?
There are 2 zeroes. Write 2 zeroes in the answer.
₹4,800 ÷ ₹8 = 600
The real estate agent will be able to buy 600 ads.
🔔 Monroe County has ₹8,000 to buy new street signs. If each sign costs ₹2,000,
how many new street signs will the county be able to buy?
Divide the amount of money by the cost of each street sign. Divide ₹8,000 by ₹2,000.
First, divide ₹8 by ₹2.
₹8 ÷ ₹2 = 4
Now count the zeroes in each number.
₹8,000 ÷ ₹2,000 = ?
There are the same number of blue zeroes in ₹8,000 as in ₹2,000.
₹8,000 ÷ ₹2,000 = 4
Monroe County will be able to buy 4 new street signs.
let’s practice: