Hello, young mathematician! This guide helps you learn reading, making, comparing, and placing numbers beyond 200 in a calm, step-by-step way. We will use small stories, clear checks, and original practice so the idea feels useful instead of heavy.
Caregiver: Keep the work hands-on and short. Let the child explain with objects, drawings, or fingers before asking for neat notebook answers.
This original PrincipalSaab guide follows Chapter 6, House of Hundreds – I, from NCERT’s Maths Mela for Class 3. The explanations, examples, activity, and practice here are newly written and do not copy textbook stories, exercises, or artwork.
To strengthen your number sense first, revisit What’s in a Name?, explore the Class 3 Mathematics learning path, or use Ask a Doubt when a place-value step needs another explanation.
Words to Know
hundred
a group of 100
300 is three hundreds
tens
groups of 10
280 has 28 tens
ones
single units
306 has 6 ones
number line
a line that shows order
235 lies after 230
estimate
a careful near guess
about 300
Make three place-value cards labelled 100, 10, and 1. Build five numbers between 200 and 500, then say each as hundreds, tens, and ones. Use paper only. (15-20 min)
Your Learning Plan
- Read the situation slowly.
- Underline the numbers and units in your mind.
- Choose the operation or comparison.
- Work step by step.
- Check whether the answer is sensible.
Numbers After Two Hundred
After 200, number names keep the same pattern: two hundred one, two hundred two, and so on.
The key is to hear the hundred part first and then read the tens and ones part.
Children should say the number, build it, and write it. All three actions strengthen place value.
- Use 2 hundred cards for 200.
- Use 8 ten cards for 80.
- Use 6 one cards for 6.
- Join them as 200 + 80 + 6.
Answer: 286 is 2 hundreds, 8 tens, and 6 ones.
Place Value Houses
A three-digit number can be seen as hundreds, tens, and ones living in one house.
In 347, the 3 means 3 hundreds, the 4 means 4 tens, and the 7 means 7 ones.
Changing one digit changes the value of that place, so digits are not just marks.
- Start with 299.
- One more means add 1.
- 299 + 1 = 300.
- One less means subtract 1: 299 – 1 = 298.
Answer: One more is 300; one less is 298.
- Both numbers have 3 hundreds.
- Compare the tens: 4 tens and 7 tens.
- 7 tens is greater than 4 tens.
Answer: 374 is greater than 347.
Number Lines
A number line helps us see order and distance.
Numbers increase as we move right. They decrease as we move left.
For larger numbers, mark friendly points such as 200, 250, 300, 350, and 400 before placing the exact number.
- Mark 200 and 300.
- 235 is between 200 and 300.
- It is 35 after 200 and 65 before 300.
Answer: 235 is closer to 200 than to 300.
Compare Near Hundreds
To compare three-digit numbers, compare hundreds first.
If the hundreds are the same, compare tens. If tens are also the same, compare ones.
This method is safer than reading quickly and guessing.
- The pattern is 240, 250, 260, __.
- Each step adds 10.
- 260 + 10 = 270.
Answer: The missing number is 270.
- Start at 186.
- Move one row down in a chart where rows add 10.
- 186 + 10 = 196.
Answer: The new number is 196.
Patterns In Hundreds
Hundred charts and house charts show patterns in rows and columns.
Moving one step right usually adds 1. Moving one row down may add 10, depending on the chart.
Pattern thinking helps children fill blanks without counting every square from the beginning.
- In a row such as 321, 322, 323, 324, only the ones digit changes.
- In a column such as 321, 331, 341, 351, the ones digit stays the same.
- A chart is a map of place value. Each small move has a number meaning.
- Say a tricky number in expanded form. For example, 405 is 400 + 0 + 5.
- Pick 246, then add 1, add 10, and add 100. The answers are 247, 256, and 346.
- Reverse the moves: 346 – 100 = 246, 256 – 10 = 246, and 247 – 1 = 246.
- Before using any chart, ask what one row means. It may add 10, or it may add another fixed step.
For home practice, draw a small four-row chart with five numbers in each row. Start at 281 and fill 282, 283, 284, 285 in the first row. Then start the next row at 291. Ask what changed between 281 and 291.
Children often enjoy being the “pattern detective.” Give one false entry, such as 281, 282, 293, 284, and ask which number does not fit. The answer is 293 because the row is counting by ones.
When a child explains a pattern, listen for two parts: the step size and the direction. A complete explanation sounds like, “The numbers move right by 1,” or “The numbers move down by 10.” This habit is more useful than only naming the next number.
Estimate And Check
An estimate is not a wild guess. It is a close, useful guess before exact counting.
For many objects, grouping in tens or hundreds gives a better estimate.
After estimating, count by tens or hundreds to check.
- Estimate first. If a collection looks a little less than 300, answers such as 95 or 700 should feel suspicious.
- Check distance from a hundred. For example, 387 is 13 away from 400 because 387 + 13 = 400.
- For comparison, explain the first place where the numbers differ. In 347 and 374, the hundreds match, so the tens place decides.
- Read the number again, rebuild it as hundreds-tens-ones, and ask whether it fits the story.
- Use a tiny H, T, O table to prevent copying and place-value errors.
- For 236 + 100, only the hundreds place changes, so the answer is 336.
- For 420 – 10, the tens place changes from 2 tens to 1 ten, so the answer is 410.
- For 399 + 1, regrouping makes a new hundred, so the answer is 400.
When a child gives an unusual answer, ask for a check instead of saying “wrong” immediately. A prompt such as “Show me the hundreds first” helps the child locate the mistake.
Another helpful question is: “Did the number grow or shrink?” If the problem says one more, add 10, or add 100, the answer should grow. If it says one less or ten less, the answer should shrink.
Practice Time
Try each original prompt first. Open the answer only after you have made your own attempt.
Practice 1. Write 368 as hundreds, tens, and ones.
Answer: 3 hundreds, 6 tens, 8 ones.
Practice 2. What is one more than 399?
Answer: 400.
Practice 3. What is ten less than 420?
Answer: 410.
Practice 4. Which is greater: 276 or 267?
Answer: 276.
Practice 5. Place 318 between which two hundreds?
Answer: 300 and 400.
Practice 6. Complete: 210, 220, 230, __.
Answer: 240.
Practice 7. How far is 387 from 400?
Answer: 13.
Practice 8. Write 4 hundreds, 0 tens, and 5 ones as a number.
Answer: 405.
Practice 9. Which is closer to 300: 292 or 325?
Answer: Find each distance from the target hundred, 300. 292 is 8 away; 325 is 25 away. The smaller distance is closer, so 292 is closer to 300.
Practice 10. Add 100 to 236.
Answer: 336.
Quick Self-Check
Answer these five quick questions after the practice set.
Self-check 1. What does the 5 mean in 352?
Answer: 5 tens, or 50.
Self-check 2. Which way do numbers increase on a number line?
Answer: To the right.
Self-check 3. What is 300 + 40 + 9?
Answer: 349.
Self-check 4. Which is greater: 409 or 390?
Answer: 409.
Self-check 5. Why group objects in tens?
Answer: It makes large counts quicker and safer.
Revise With A Number Story
A strong way to revise this chapter is to explain one number aloud. Say what each digit means, where the number sits, and how you checked it.
For example, choose 352. You can say: 352 has 3 hundreds, 5 tens, and 2 ones. It is between 300 and 400. It is closer to 400 than to 300 because 352 is 48 away from 400 and 52 away from 300.
Now change one digit and notice what happens. If 352 becomes 362, only the tens place changed, so the number grew by 10.
Make one fresh number of your own between 200 and 500. Write it in three forms: as a numeral, in expanded form, and as a short sentence using hundreds, tens, and ones.
Then place the number between two hundreds. Ask: which hundred is nearer? How do I know? This turns the final answer into an explanation.
If you make a mistake, find the place where the mistake began. Was it the hundreds digit, the tens digit, the ones digit, or the direction on the number line?
Parents and teachers can keep practice light by asking three oral questions: What number did you build? What changed when one digit changed? How did you check?
Use the same three questions for the practice set too. For Practice 9, the child should not only say 292 is closer to 300. The child should explain that 292 is 8 away from 300, while 325 is 25 away.
For a quick peer activity, one child says a number such as 418. The partner says the expanded form, 400 + 10 + 8, and then asks for one more, ten more, or one hundred more.
For a notebook activity, write four numbers in a column: 208, 280, 408, and 480. Ask the child to circle the number with 8 ones, underline the number with 8 tens, and box the number with 4 hundreds.
For a number-line activity, choose a number between two hundreds and write two distances. If the number is 318, it is 18 after 300 and 82 before 400. This makes “between” visible.
For a chart activity, hide one number in a row and one number in a column. The child should name the missing number and say the move used: one step right, one step left, one row up, or one row down.
End revision with a tiny self-made question. A good student-made question might be: “I am between 300 and 400. I have 6 tens and 2 ones. Who am I?” The answer is 362.
Self-made questions are powerful because the child must hold the place values in order. If the question is unclear, improve the question before solving it.
This chapter is ready when the child can build a three-digit number, place it roughly on a number line, compare it with another number, and explain one check in a complete sentence.
Kaizen step: Do one small correct check today. Tomorrow, do one more. Calm practice builds strong maths.
Continue Learning
- Browse PrincipalSaab Study Notes
- Open the CBSE learning hub
- Next in Maths Mela: continue with the next official chapter after this one.