Let's solve each of the division word problems step by step.
---
Problem 1:
A box can fit 100 packets of biscuits. How many boxes are needed to pack 56,790 packets of biscuits?
####
Step-by-step Solution:
We need to divide the total number of biscuit packets by the number of packets each box can hold:
$$
\frac{56,790}{100} = 567.9
$$
Since we can't have a fraction of a box, and we need to pack
all the packets, we must
round up to the next whole number.
So, we need:
$$
568 \text{ boxes}
$$
✔ Answer: 568 boxes are needed.
> 💡
Explanation: Even though 567 boxes would hold 56,700 packets (567 × 100), there are still 90 packets left over, which require one more box.
---
Problem 2:
At Wimberley Stadium, 15,680 persons representing 64 teams participated in the National Parade. If the number is the same, how many people are there in each team?
####
Step-by-step Solution:
We divide the total number of people by the number of teams:
$$
\frac{15,680}{64}
$$
Let’s perform the division:
First, simplify:
- $ 64 \times 200 = 12,800 $
- Subtract: $ 15,680 - 12,800 = 2,880 $
- $ 64 \times 40 = 2,560 $
- Subtract: $ 2,880 - 2,560 = 320 $
- $ 64 \times 5 = 320 $
Add them up: $ 200 + 40 + 5 = 245 $
So,
$$
\frac{15,680}{64} = 245
$$
✔ Answer: 245 people are in each team.
> 💡
Explanation: Since all teams have the same number of people, dividing the total number of participants by the number of teams gives the number per team.
---
✔ Final Answers:
1.
568 boxes
2.
245 people per team
Parent Tip: Review the logic above to help your child master the concept of division word problems 4th grade worksheet.