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Chapter 1
Addition and Subtraction Up to 10,000
Key Concepts
Adding and subtracting numbers up to 10,000 helps you find totals and differences quickly. We use these skills when counting money, books, points, or toys.
• Line up ones, tens, hundreds, and thousands in straight columns. - Add from the ones column first. - If a column total is 10 or more, regroup 10 ones as 1 ten. - Subtract from the ones column first. - If the top digit is too small, regroup 1 ten as 10 ones. - Check addition by estimating or using subtraction.
Before you continue: Can you explain why we regroup when a column has 10 or more?
Key Terms
Place value - The value of a digit because of its place, such as ones, tens, hundreds, or thousands.
Regroup - To exchange 10 of one place for 1 of the next place.
Carry - To move an extra ten, hundred, or thousand to the next column when adding.
Borrow - To take 1 from the next column and change it into 10 in the column we need.
Sum - The answer to an addition problem.
Difference - The answer to a subtraction problem.
Active Recall
Place value ________________________________________________ ________________________________________________
Regroup ________________________________________________ ________________________________________________
Carry ________________________________________________ ________________________________________________
Borrow ________________________________________________ ________________________________________________
Sum ________________________________________________ ________________________________________________
Difference ________________________________________________ ________________________________________________
Worked Examples
Example 1: Addition
Add 2,468 + 1,357.
1. Ones: 8 + 7 = 15. Write 5 and carry 1 ten. 2. Tens: 6 + 5 + 1 = 12. Write 2 and carry 1 hundred. 3. Hundreds: 4 + 3 + 1 = 8. 4. Thousands: 2 + 1 = 3.
So, 2,468 + 1,357 = 3,825.
Now you try: 3,276 + 2,458 = ____ ______________________________________________ ______________________________________________ ________________________________________________
Example 2: Subtraction
Subtract 4,203 - 1,786.
1. Ones: 3 is too small, so regroup 1 ten. There are 13 ones. 2. 13 - 6 = 7. 3. Tens: 9 is too small, so regroup 1 hundred. There are 19 tens. 4. 19 - 8 = 11. Write 1 and regroup 1 thousand. 5. 3 hundreds - 7 hundreds is not possible, so regroup carefully: 4 thousands becomes 3 thousands and 13 hundreds. Then 13 - 7 = 6. 6. 3 - 1 = 2.
So, 4,203 - 1,786 = 2,417.
Now you try: 5,012 - 2,684 = ____ ______________________________________________ ______________________________________________ ________________________________________________
Example 3: Word Problem
A shop has 3,475 red pencils and 2,268 blue pencils. How many pencils are there altogether?
Add: 3,475 + 2,268 = 5,743 pencils.
Practice Questions
1. (Easy) Add 1,245 + 2,312. ________________________________________________ ______________________________________________ ________________________________________________
2. (Easy) Subtract 3,876 - 1,245. ________________________________________________ ______________________________________________ ________________________________________________
3. (Medium) Add 4,687 + 3,956. ________________________________________________ ______________________________________________ ________________________________________________
4. (Medium) Subtract 8,004 - 2,679. ________________________________________________ ______________________________________________ ________________________________________________
5. (Medium) A library has 2,735 storybooks and 1,846 science books. How many books are there? ________________________________________________ ______________________________________________ ________________________________________________
6. (Hard) A stadium had 9,000 seats. If 4,786 seats were filled, how many seats were empty? ________________________________________________ ______________________________________________ ________________________________________________
Answer Key
1. 3,557 2. 2,631 3. 8,643 4. 5,325 5. 4,581 books 6. 4,214 seats
Exam Tips & Common Mistakes
• Do not mix up the columns. Write ones under ones and tens under tens. - Remember the carried digit. Circle it lightly so you do not forget it. - When subtracting, check whether the top digit is big enough before subtracting. - Add neatly. A messy column can change the answer. - Read word problems carefully. Words such as “altogether” usually mean addition. Words such as “left” or “difference” usually mean subtraction. - Show your working. It helps you find small mistakes. - Check your answer with an estimate. For example, 2,468 is close to 2,500.
Quick Reference
Rules
• Add and subtract from right to left. - Keep every place value in its own column. - Regroup 10 ones as
1 ten. - Regroup 10 tens as 1 hundred. - Regroup 10 hundreds as 1 thousand. - In subtraction, borrow from the next column when needed.
Memory trick: O-T-H-T
Remember the place-value order: Ones, Tens, Hundreds, Thousands.
The most important things to remember are:
• Line up the digits carefully. - Start at the ones column. - Carry or regroup when a column reaches 10. - Check addition with subtraction, or subtraction with addition. - Read the word problem to choose the correct operation.
Confidence Check
I can line up numbers correctly. [ ] 1 [ ] 2 [ ] 3 [ ] 4 [ ] 5
I can add numbers up to 10,000 with regrouping. [ ] 1 [ ] 2 [ ] 3 [ ] 4 [ ] 5
I can subtract numbers up to 10,000 with regrouping. [ ] 1 [ ] 2 [ ] 3 [ ] 4 [ ] 5
I can solve an addition word problem. [ ] 1 [ ] 2 [ ] 3 [ ] 4 [ ] 5
I can check whether my answer makes sense. [ ] 1 [ ] 2 [ ] 3 [ ] 4 [ ] 5
Try this fun activity: write two four-digit numbers on small pieces of paper. Pick them, add them, and then subtract the smaller number from the larger number. Can you use your first answer to check your second answer?
End of chapter one. 4 more chapters and about 3,592 words in the full book.
Swipe or use the arrows to turn the page
What's inside: 5 chapters
- 1. Addition and Subtraction Up to 10,000
- 2. Multiplication and Division Facts
- 3. Fractions of Shapes and Numbers
- 4. Angles, Lines, and 2D Shapes
- 5. Time, Money, and Data Handling
About this book
"Class 4 Maths Practice Book" is a study guide book by Saatwik asthana with 5 chapters and approximately 3,592 words. Grade 4 math practice across core topics.
This book was created using Inkfluence AI, an AI-powered book generation platform that helps authors write, design, and publish complete books. It was made with the Study Guide Generator.
Frequently Asked Questions
What is "Class 4 Maths Practice Book" about?
Grade 4 math practice across core topics
How many chapters are in "Class 4 Maths Practice Book"?
The book contains 5 chapters and approximately 3,592 words. Topics covered include Addition and Subtraction Up to 10,000, Multiplication and Division Facts, Fractions of Shapes and Numbers, Angles, Lines, and 2D Shapes, and more.
Who wrote "Class 4 Maths Practice Book"?
This book was written by Saatwik asthana and created using Inkfluence AI, an AI book generation platform that helps authors write, design, and publish books.
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