Addition
Adding Two 4-Digit Numbers
Example:
Let’s add 3,245 and 4,678.
Steps to Add:
1. Write the Numbers Vertically:
– Make sure you line up the digits correctly by their place value (ones, tens, hundreds, and thousands)
2. Start adding from the right
– Begin with the ones place.
– Add the digits in the ones place: `5 + 8 = 13`.
– Write down `3` in the ones place and carry over `1` to the tens place.
3. Move to the Tens Place:
– Add the digits in the tens place along with the carry-over: 4 + 7 + 1 (carry) = 12`.
– Write down `2` in the tens place and carry over `1` to the hundreds place.
4. Add the Hundreds Place:
– Now, add the digits in the hundreds place along with the carry-over: `2 + 6 + 1 (carry) = 9`.
– Write down `9` in the hundreds place. No need to carry over since it’s less than 10.
5. Finally, Add the Thousands Place
– Add the digits in the thousands place: `3 + 4 = 7`.
– Write down `7` in the thousands place.
Final Answer:
After adding all the places, the numbers will look like this:
3 2 4 5
+ 4 6 7 8
———–
7 9 2 3
So, 3,245 + 4,678 = 7,923
Adding Three 4-Digit Numbers
Step 1: Write the Numbers in Columns
– Write the three numbers one below the other, making sure to line up the digits correctly. The thousands, hundreds, tens, and ones places should all be in a straight line.
For example, let’s add 2345, 6789, and 1234:
2345
+ 6789
+ 1234
————
Step 2: Add the Ones Place
– Start by adding the digits in the ones place (rightmost column).
5 (from 2345) + 9 (from 6789) + 4 (from 1234) = 18.
Write down 8 in the ones place and carry over the 1 to the tens place.
Step 3: Add the Tens Place
– Now, add the digits in the tens place along with the carry-over.
4 (from 2345) + 8 (from 6789) + 3 (from 1234) + 1 (carry-over) = 16.
Write down 6 in the tens place and carry over the 1 to the hundreds place.
Step 4: Add the Hundreds Place
– Next, add the digits in the hundreds place along with the carry-over.
3 (from 2345) + 7 (from 6789) + 2 (from 1234) + 1 (carry-over) = 13.
Write down 3 in the hundreds place and carry over the 1 to the thousands place.
Step 5: Add the Thousands Place
– Finally, add the digits in the thousands place along with the carry-over.
2 (from 2345) + 6 (from 6789) + 1 (from 1234) + 1 (carry-over) = 10.
Write down 10 in the thousands place. Since it’s the last column, we write down the entire number.
Step 6: Write the Final Answer
– Now, combine all the digits to get the final answer.
2345
+ 6789
+ 1234
——–
10368
So, 2345 + 6789 + 1234 = 10368.
By following these steps, you can easily add three 4-digit numbers!
Addition facts
What Are Addition Facts?
Addition facts are the small, simple math problems that show how two numbers can be added together to make a new number. These facts are usually for numbers between 0 and 9.
For example:
– 2 + 3 = 5
– 4 + 4 = 8
– 7 + 1 = 8
Knowing these facts by heart helps you add bigger numbers more easily later on.
Why Are Addition Facts Important?
1. Builds Confidence: Knowing addition facts makes math quicker and more fun.
2. Helps with Bigger Problems: When you know simple facts, you can solve bigger problems faster.
3. Makes Math Easy: Addition facts are like the building blocks for all math you’ll do in the future.
Examples of Addition Facts
– Doubles Facts: These are when you add a number to itself. For example:
– 1 + 1 = 2
– 2 + 2 = 4
– 3 + 3 = 6
– Adding 1: When you add 1 to any number, you just count up by 1. For example:
– 4 + 1 = 5
– 6 + 1 = 7
– Adding 0: When you add 0 to any number, the number stays the same. For example:
– 5 + 0 = 5
– 8 + 0 = 8
Addition of Four-Digit Numbers Using Expanded Form
Step 1: Understand Expanded Form
– Expanded form means breaking down a number to show the value of each digit. For example:
– The number 4532 in expanded form is 4000 + 500 + 30 + 2.
– The number 2764 in expanded form is 2000 + 700 + 60 + 4.
Step 2: Break Down the Numbers
– Let’s add 4532 and 2764 using expanded form.
First, write each number in expanded form:
4532 = 4000 + 500 + 30 + 2
2764 = 2000 + 700 + 60 + 4
Step 3: Add the Parts Separately
– Add the thousands, hundreds, tens, and ones separately:
– Thousands: 4000 + 2000 = 6000
– Hundreds: 500 + 700 = 1200
– Tens: 30 + 60 = 90
– Ones: 2 + 4 = 6
Step 4: Combine the Results
– Now, add up all the sums from the thousands, hundreds, tens, and ones:
“`
6000 (from thousands)
+ 1200 (from hundreds)
+ 90 (from tens)
+ 6 (from ones)
——–
7296
So, 4532 + 2764 = 7296.
Step 5: Write the Final Answer
– The final answer after adding 4532 and 2764 using expanded form is 7296.
Word problem
Problem:
A library had 2,356 books. They received a donation of 1,742 more books. How many books does the library have now?
Step-by-Step Solution:
1. Read the Problem:
The library starts with 2,356 books and then receives 1,742 more books.
2. Identify the Numbers:
The numbers to add are 2,356 (initial number of books) and 1,742 (books donated).
3. Write the Addition Sentence:
(2,356 + 1,742 = ?)
4. Solve the Problem:
2,356 + 1,742 = 4,098.
5. Answer the Question:
The library now has 4,098 books.
Problem:
A car dealership sold 4,582 cars in the first half of the year and 3,967 cars in the second half of the year. How many cars did the dealership sell in total?
Step-by-Step Solution:
1. Read the Problem:
The dealership sold 4,582 cars in the first half of the year and 3,967 in the second half.
2. Identify the Numbers:
The numbers to add are 4,582 (first half) and 3,967 (second half).
3. Write the Addition Sentence:
4,582 + 3,967 = ?
4. Solve the Problem:
4,582 + 3,967 = 8,549.
5. Answer the Question:
The dealership sold 8,549 cars in total.