Problem Analysis:
The worksheet focuses on
dividing whole numbers, specifically dividing a 3-digit number by a 2-digit number with remainders. There are two long division problems to solve and several short division problems at the bottom.
---
Part 1: Long Division Problems
####
Problem 1: \( 565 \div 43 \)
1.
Set up the division:
```
____
43 | 565
```
2.
Divide the first two digits (56) by 43:
- \( 56 \div 43 = 1 \) (since \( 43 \times 1 = 43 \))
- Write 1 above the line:
```
1
____
43 | 565
-43
----
13
```
3.
Bring down the next digit (5):
- New number: 135
- Divide 135 by 43:
- \( 135 \div 43 = 3 \) (since \( 43 \times 3 = 129 \))
- Write 3 above the line:
```
13
_____
43 | 565
-43
----
135
-129
----
6
```
4.
Final Answer:
- Quotient: 13
- Remainder: 6
- Boxed answer: \( 565 \div 43 = 13 \) R6
---
####
Problem 2: \( 760 \div 33 \)
1.
Set up the division:
```
____
33 | 760
```
2.
Divide the first two digits (76) by 33:
- \( 76 \div 33 = 2 \) (since \( 33 \times 2 = 66 \))
- Write 2 above the line:
```
2
____
33 | 760
-66
----
10
```
3.
Bring down the next digit (0):
- New number: 100
- Divide 100 by 33:
- \( 100 \div 33 = 3 \) (since \( 33 \times 3 = 99 \))
- Write 3 above the line:
```
23
_____
33 | 760
-66
----
100
- 99
----
1
```
4.
Final Answer:
- Quotient: 23
- Remainder: 1
- Boxed answer: \( 760 \div 33 = 23 \) R1
---
Part 2: Short Division Problems
####
Solve each problem:
1.
a. \( 15 \div 3 \):
- \( 15 \div 3 = 5 \)
- Answer: 5
2.
b. \( 30 \div 6 \):
- \( 30 \div 6 = 5 \)
- Answer: 5
3.
c. \( 45 \div 9 \):
- \( 45 \div 9 = 5 \)
- Answer: 5
4.
d. \( 60 \div 12 \):
- \( 60 \div 12 = 5 \)
- Answer: 5
5.
e. \( 75 \div 15 \):
- \( 75 \div 15 = 5 \)
- Answer: 5
6.
f. \( 90 \div 18 \):
- \( 90 \div 18 = 5 \)
- Answer: 5
7.
g. \( 105 \div 21 \):
- \( 105 \div 21 = 5 \)
- Answer: 5
8.
h. \( 120 \div 24 \):
- \( 120 \div 24 = 5 \)
- Answer: 5
9.
i. \( 135 \div 27 \):
- \( 135 \div 27 = 5 \)
- Answer: 5
---
Final Answers:
#### Long Division:
- \( 565 \div 43 = 13 \) R6
- \( 760 \div 33 = 23 \) R1
#### Short Division:
- a. 5
- b. 5
- c. 5
- d. 5
- e. 5
- f. 5
- g. 5
- h. 5
- i. 5
---
Boxed Final Answer:
\[
\boxed{13 \text{ R6}, 23 \text{ R1}, 5, 5, 5, 5, 5, 5, 5, 5, 5}
\]
Parent Tip: Review the logic above to help your child master the concept of division whole numbers worksheet.
