4 Digit Addition Worksheet-3 - skoolon.com - Free Printable

Worksheet Analysis and Solution

The worksheet provided is a math worksheet focusing on 4-Digit Addition with regrouping. Let's solve each question step by step.

---

Q1. Add the following numbers with regrouping:

We are given six addition problems involving 4-digit numbers. We will solve them one by one, showing the regrouping process where necessary.

#### Problem 1:
```
Th H T O
5 1 7 4
+ 2 9 5 4
-----------
```
- Step 1: Add the Ones place: \(4 + 4 = 8\). Write down 8.
- Step 2: Add the Tens place: \(7 + 5 = 12\). Write down 2 and carry over 1 to the Hundreds place.
- Step 3: Add the Hundreds place: \(1 + 9 + 1 (carry) = 11\). Write down 1 and carry over 1 to the Thousands place.
- Step 4: Add the Thousands place: \(5 + 2 + 1 (carry) = 8\). Write down 8.

Answer:
```
Th H T O
5 1 7 4
+ 2 9 5 4
-----------
8 1 2 8
```

#### Problem 2:
```
Th H T O
1 5 8 9
+ 7 3
-----------
```
- Step 1: Add the Ones place: \(9 + 3 = 12\). Write down 2 and carry over 1 to the Tens place.
- Step 2: Add the Tens place: \(8 + 7 + 1 (carry) = 16\). Write down 6 and carry over 1 to the Hundreds place.
- Step 3: Add the Hundreds place: \(5 + 0 + 1 (carry) = 6\). Write down 6.
- Step 4: Add the Thousands place: \(1 + 0 = 1\). Write down 1.

Answer:
```
Th H T O
1 5 8 9
+ 7 3
-----------
1 6 6 2
```

#### Problem 3:
```
Th H T O
2 8 7 3
+ 2 0 7
-----------
```
- Step 1: Add the Ones place: \(3 + 7 = 10\). Write down 0 and carry over 1 to the Tens place.
- Step 2: Add the Tens place: \(7 + 0 + 1 (carry) = 8\). Write down 8.
- Step 3: Add the Hundreds place: \(8 + 2 = 10\). Write down 0 and carry over 1 to the Thousands place.
- Step 4: Add the Thousands place: \(2 + 2 + 1 (carry) = 5\). Write down 5.

Answer:
```
Th H T O
2 8 7 3
+ 2 0 7
-----------
3 0 8 0
```

#### Problem 4:
```
Th H T O
7 7 6 6
+ 4 3 5
-----------
```
- Step 1: Add the Ones place: \(6 + 5 = 11\). Write down 1 and carry over 1 to the Tens place.
- Step 2: Add the Tens place: \(6 + 3 + 1 (carry) = 10\). Write down 0 and carry over 1 to the Hundreds place.
- Step 3: Add the Hundreds place: \(7 + 4 + 1 (carry) = 12\). Write down 2 and carry over 1 to the Thousands place.
- Step 4: Add the Thousands place: \(7 + 0 + 1 (carry) = 8\). Write down 8.

Answer:
```
Th H T O
7 7 6 6
+ 4 3 5
-----------
8 2 0 1
```

#### Problem 5:
```
Th H T O
4 5 6 7
+ 1 6 7 4
-----------
```
- Step 1: Add the Ones place: \(7 + 4 = 11\). Write down 1 and carry over 1 to the Tens place.
- Step 2: Add the Tens place: \(6 + 7 + 1 (carry) = 14\). Write down 4 and carry over 1 to the Hundreds place.
- Step 3: Add the Hundreds place: \(5 + 6 + 1 (carry) = 12\). Write down 2 and carry over 1 to the Thousands place.
- Step 4: Add the Thousands place: \(4 + 1 + 1 (carry) = 6\). Write down 6.

Answer:
```
Th H T O
4 5 6 7
+ 1 6 7 4
-----------
6 2 4 1
```

#### Problem 6:
```
Th H T O
6 5 6 3
+ 1 9 2 7
-----------
```
- Step 1: Add the Ones place: \(3 + 7 = 10\). Write down 0 and carry over 1 to the Tens place.
- Step 2: Add the Tens place: \(6 + 2 + 1 (carry) = 9\). Write down 9.
- Step 3: Add the Hundreds place: \(5 + 9 = 14\). Write down 4 and carry over 1 to the Thousands place.
- Step 4: Add the Thousands place: \(6 + 1 + 1 (carry) = 8\). Write down 8.

Answer:
```
Th H T O
6 5 6 3
+ 1 9 2 7
-----------
8 4 9 0
```

---

Q2. Fill the missing numbers.

We are given a pyramid structure with some numbers filled in and need to find the missing numbers. The rule is that each number above is the sum of the two numbers directly below it.

#### Given Pyramid:
```
?
/ \
? ?
/ \ / \
2053 1050 652 987
```

#### Step-by-Step Solution:
1. Bottom Row:
- Numbers are already given: \(2053, 1050, 652, 987\).

2. Second Row:
- Left number: \(2053 + 1050 = 3103\).
- Right number: \(652 + 987 = 1639\).

3. Top Row:
- Top number: \(3103 + 1639 = 4742\).

#### Filled Pyramid:
```
4742
/ \
3103 1639
/ \ / \
2053 1050 652 987
```

Answer:
```
Top number: 4742
Second row: 3103, 1639
```

---

Q3. Give that ♣ = 5967 and ⋄ = 4758. Find ♣ + ⋄.

#### Solution:
- Given: \(♣ = 5967\) and \(⋄ = 4758\).
- We need to add these two numbers:
```
5 9 6 7
+ 4 7 5 8
-----------
```

1. Add the Ones place: \(7 + 8 = 15\). Write down 5 and carry over 1.
2. Add the Tens place: \(6 + 5 + 1 (carry) = 12\). Write down 2 and carry over 1.
3. Add the Hundreds place: \(9 + 7 + 1 (carry) = 17\). Write down 7 and carry over 1.
4. Add the Thousands place: \(5 + 4 + 1 (carry) = 10\). Write down 10.

Answer:
```
5 9 6 7
+ 4 7 5 8
-----------
1 0 7 2 5
```

---

Final Answers:

1.
- Problem 1: 8128
- Problem 2: 1662
- Problem 3: 3080
- Problem 4: 8201
- Problem 5: 6241
- Problem 6: 8490

2. Missing numbers:
- Top: 4742
- Second row: 3103, 1639

3. \(♣ + ⋄ = \boxed{10725}\)

---

Boxed Final Answer:

\[
\boxed{10725}
\]