Thousands Around Us
Class 4 · Mathematics
10 ideas in Class 4 Mathematics, explained in plain words, with games and quizzes to practise.
Grouping and Regrouping
Part of: Place Value
Big numbers are built by grouping. Ten ones make one ten, ten tens make one hundred, and ten hundreds make one thousand. Regrouping means swapping a group for its smaller parts, or swapping smaller parts for a bigger group.
Why it matters. Every 'carry' and 'borrow' in addition and subtraction is regrouping. A child who has seen it with real objects does not need to memorise tricks later.
Try it in two minutes
- Count out 10 beans or buttons and put them in a cup. That cup is 1 ten.
- Fill 10 cups and put them in a box. That box is 1 hundred.
- Ask: how many cups are in 140 beans? (14). Then: how many beans are left loose if we have 143? (3).
- Now undo it: open one box and count its 10 cups. One hundred was always ten tens.
Try at home. Give your child 47 beans and ask them to make as many cups of ten as they can. How many tens and how many ones?
Place Value up to Thousands
Part of: Place Value
In 4725 each digit sits in a place. 4 is in the thousands place (worth 4000), 7 in hundreds (700), 2 in tens (20) and 5 in ones (5). The same digit is worth different amounts in different places, and a 0 simply holds a place when it is empty.
Why it matters. Place value is the foundation for reading, writing, comparing, adding and subtracting numbers. Children who mix up 4075 and 475 usually need more practice here.
Try it in two minutes
- Write a 4-digit number such as 6038 and draw four boxes labelled Th, H, T, O above it.
- Point to each digit and say its value: 6 thousands is 6000, 0 hundreds is 0, 3 tens is 30, 8 ones is 8.
- Ask what the zero is doing. It shows that the hundreds place is empty, so 6038 is not the same as 638.
- Swap two digits (6083) and ask what changed. The number changes because each digit moved to a different place.
Try at home. Ask your child to read out the house number, a bus number or a price tag and say what each digit is worth.
Expanded Form and Number Names
Part of: Reading and Writing Numbers
Expanded form splits a number into the value of each digit: 5163 = 5000 + 100 + 60 + 3. A number name writes it in words: five thousand one hundred sixty-three. All three (digits, expanded form, words) describe the same number.
Why it matters. Moving between digits, expanded form and words shows that a child understands the number, not just how it looks. It also prepares them for adding and subtracting by place.
Try it in two minutes
- Write 7204 and ask your child to say each digit's value out loud: 7000, 200, 0, 4.
- Write them as a sum: 7000 + 200 + 4. Notice there is no tens part because the tens digit is 0.
- Say the name together: seven thousand two hundred four.
- Go backwards: say 'nine thousand fifty' and ask them to write the number (9050).
Try at home. Pick a 4-digit number from a newspaper or bill and ask your child to write it in expanded form and in words.
Counting On and Back
Part of: Number Line and Sequences
Counting on and back by 1, 10, 100 or 1000 changes only one digit most of the time: adding 10 changes the tens digit, adding 100 changes the hundreds digit. At 9 in a place the count 'rolls over' and the next place goes up by one.
Why it matters. Spotting which digit changes makes mental addition and subtraction quick, and builds a feel for where numbers sit on a number line.
Try it in two minutes
- Start at 4350 and count on in 10s out loud: 4360, 4370, 4380. Ask which digit changes each time.
- Now count in 100s: 4450, 4550, 4650. Which digit changes now?
- Try a roll-over: 4990, 5000. Ask what happened to the other digits.
- Count back from 3000 by 1s: 2999, 2998. Ask why the number looks so different after one step.
Try at home. Say a number like 2395 and ask 'what is 10 more?' and '100 less?' without writing anything down.
Making 1000
Part of: Number Line and Sequences
Making 1000 means finding the missing part: 650 + ___ = 1000. Children can do this by counting up in friendly jumps (to the next hundred, then to 1000) or by taking the number away from 1000.
Why it matters. 'How much more to reach 1000?' is the same skill as giving change and estimating. It builds mental subtraction and the habit of using friendly numbers.
Try it in two minutes
- Ask: 'I have 650. How far to the next hundred?' (50). 'And from 700 to 1000?' (300). 'So how far from 650 to 1000?' (350).
- Check by adding: 650 + 350 = 1000.
- Turn it round: 1000 − 650 is also 350. Adding and subtracting are two views of the same gap.
- Try a new one together: 830 + ___ = 1000.
Try at home. Use rupee notes or play money. Put out ₹ 750 and ask your child how much more makes ₹ 1000.
Comparing and Ordering Numbers
Part of: Comparing and Ordering
To compare two 4-digit numbers, start at the left. The number with the bigger thousands digit is bigger. If the thousands match, look at hundreds, then tens, then ones. Ordering is just comparing again and again.
Why it matters. Comparing by place value works for numbers of any size, and it is the first time children use 'a bigger place beats everything to its right'.
Try it in two minutes
- Write 5409 and 5490 one above the other so the digits line up.
- Compare place by place from the left: thousands same, hundreds same, tens 0 and 9. 9 is more, so 5490 is bigger.
- Write the sign: 5409 < 5490. The small end of the sign points at the smaller number.
- Put four numbers in a row from smallest to largest, then reverse them for largest to smallest.
Try at home. Use prices from a shopping leaflet. Ask your child to put four prices in order, cheapest first.
Grouping into Tens, Hundreds and a Thousand
Part of: Making one thousand
Ten ones make one ten, ten tens make one hundred, and ten hundreds make one thousand. Each time we get ten of something, we swap them for one bigger group. For example, 14 ones can be swapped into 1 ten and 4 ones, which is the number 14.
Why it matters. Regrouping is the base of reading big numbers, adding and subtracting. Without it, children memorise digits but do not know what they mean.
Try it in two minutes
- Give your child about 30 dry beans or buttons. Ask them to make piles of ten.
- Ask: how many full piles and how many left over? What number is that?
- Now say: 10 piles of ten make one hundred. If you had 10 hundreds, what would that make?
- Ask how much more is needed to reach 1000 from 600, then from 850.
Try at home. Play a shop game: your child has to pay exactly 1000 rupees in play money, using notes of 100 and 10.
Reading and Writing Four-Digit Numbers
Part of: Numbers beyond 1000
A four-digit number has a thousands place, a hundreds place, a tens place and a ones place. In 6807 there are 6 thousands, 8 hundreds, 0 tens and 7 ones. The zero is needed to hold the tens place, so that the 8 stays in the hundreds place.
Why it matters. Children often drop the zero and write 6807 as 687. Knowing what each place means stops this mistake and helps with every later topic.
Try it in two minutes
- Write four boxes on paper and label them Th, H, T, O.
- Call out 5 thousands, 2 hundreds, 0 tens, 9 ones and let your child write the digits in the boxes.
- Ask them to read the number aloud and to say what the 2 is worth.
- Swap roles: you write a number and your child breaks it into thousands, hundreds, tens and ones.
Try at home. Look for four-digit numbers on newspapers, bills or price tags and ask your child to read them and write them in expanded form.
Number Sequences and the Number Line
Part of: Numbers beyond 1000
Numbers go in a fixed order, and a number line shows that order from left to right. Adding 1 changes the ones digit, adding 10 changes the tens digit, and adding 100 changes the hundreds digit. For example, 3640 plus 10 is 3650.
Why it matters. Moving along the number line builds a feel for how big numbers grow. It also shows which digit changes when we add or take away, which makes mental maths easier.
Try it in two minutes
- Draw a line on paper and mark 4000 at one end and 5000 at the other, with a tick at each 100.
- Ask your child to place 4250 and 4780 on the line.
- Ask: what comes just before 4000? What comes just after 4099?
- Pick a number such as 2315 and ask for 10 more, then 10 less.
Try at home. Ask your child to count forward in tens from 1230 up to 1330, saying each number aloud.
Comparing and Ordering Four-Digit Numbers
Part of: Comparing numbers
To compare two numbers, look at the thousands first. If they are the same, look at the hundreds, then the tens, then the ones. The first place where the digits differ decides which number is bigger. So 3102 is bigger than 3012 because 1 hundred is more than 0 hundreds.
Why it matters. Comparing is used in prices, scores and measurements. Children who only look at the last digits or the digit count often compare wrongly.
Try it in two minutes
- Write two numbers such as 5048 and 5408 on paper.
- Ask your child to circle the first place where the digits are different.
- Ask: which number is bigger and why?
- Write three more numbers and ask your child to arrange all of them from smallest to biggest.
Try at home. Collect three prices from a shopping leaflet and ask your child to order them from cheapest to costliest.
What your child will practise
- Comparing and Ordering Four-Digit Numbers: Candy Quest (Flip and Match)
- Comparing and Ordering Numbers: Candy Quick Fire (Quick Fire)
- Counting On and Back: Desert Puzzle (Clue Puzzle)
- Expanded Form and Number Names: Treasure Quest (Match It Up)
- Place Value up to Thousands: Jungle Quest (Collect the Answer)
- Quiz: Comparing and Ordering Four-Digit Numbers (8 questions)
- Quiz: Comparing and Ordering Numbers (6 questions)
- Quiz: Counting On and Back (6 questions)
- Quiz: Expanded Form and Number Names (6 questions)