Primary 4 · Number & Algebra
P4 numbers to 100 000
In P4, your child reads, writes, compares and orders numbers up to 100 000, and continues number patterns. All of it rests on place value: where a digit sits decides what it is worth.
- Taught in
- Term 1
- Syllabus
- 4 skills
- Usual slip
- Reads the digit
What your child learns in P4 numbers to 100 000
Four skills, each with what it looks like on a worksheet.
See the syllabus wording
- number notation, representations and place values (ten thousands, thousands, hundreds, tens, ones)
- reading and writing numbers in numerals and in words
- comparing and ordering numbers
- patterns in number sequences
Place value
Each place is worth ten times the place to its right: ones, tens, hundreds, thousands, ten thousands. A digit's value is the digit × its place, so the 6 in 36 205 is worth 6000, not 6.
| TTh | Th | H | T | O |
|---|---|---|---|---|
| 3 | 6 | 2 | 0 | 5 |
Numerals and words
Your child writes numbers in numerals and in words. A zero holds an empty place, so it is never dropped: eighteen thousand and six is 18 006, with zeros in the hundreds and the tens.
| Numeral | In words |
|---|---|
| 70 410 | seventy thousand, four hundred and ten |
| 18 006 | eighteen thousand and six |
Comparing and ordering
Compare from the left, place by place, and stop at the first place that differs. 63 518 is greater than 63 158 because the hundreds decide: 5 hundreds against 1.
| TTh | Th | H | T | O |
|---|---|---|---|---|
| 6 | 3 | 5 | 1 | 8 |
| 6 | 3 | 1 | 5 | 8 |
Number patterns
Find the rule first, the same step each time, then use it. 25 600, 26 100, 26 600 goes up by 500, so the next number is 27 100. Watch the step that crosses into a new thousand.
Key facts and formulas
- Place value to 100 000Each place is worth 10 times the place to its right.the 4 in 47 803 →
Ten thousands Thousands Hundreds Tens Ones 4 7 8 0 3 - Numerals and wordsA zero keeps an empty place, in numerals and in words.
Numeral In words 60 308 sixty thousand, three hundred and eight - Compare and orderCompare place by place from the left. The first place that differs decides: 72 419 is greater than 72 194.
Ten thousands Thousands Hundreds Tens Ones 7 2 4 1 9 7 2 1 9 4 - Number patternsFind the step first, then use it.next →
Point Value 41 250 41250 41 500 41500 41 750 41750
Words to know
- Place value
- What a place is worth. Each place is ten times the place to its right.
- Ten thousands
- The fifth place from the right. A 5 there is worth 50 000.
- Digit's value
- The digit × its place value. The further left it sits, the more it is worth.
The sentence that costs the mark
What is the value of the digit 5 in 52 341?
What the working usually does
readsthe digit=5
Reads the symbol on the page. It really is a 5, so this looks like a complete answer. It answers the wrong question.
What the question asked
readsthe place=50 000
Reads where the 5 sits, the ten thousands place, and gives its value there: 5 × 10 000.
The digit really is a 5, so "5" is a true reading of the symbol, which is why nothing looks careless. But the question asks for its value, and that depends on its place. In the ten thousands place, a 5 is worth 50 000.
The same P4 numbers to 100 000 question, worked properly
Lah works through it the way she does every question in StudyLah: one step at a time, marking the picture as she goes.
Look at the number 58 426. Give the value that the digit 8 stands for.
- Write 58 426 in a place value chart, one digit in each place.
- The digit is 8, but the question asks what it stands for. It sits in the thousands place, so it stands for 8 thousands.
- Multiply the digit by its place value: 8 × 1000 = 8000.
- So the digit 8 stands for 8000.
Every question in StudyLah comes with a walkthrough like this one.
Try it freeThree quick P4 numbers to 100 000 questions
Try them together, then tap to check.
Question 1
Write sixty thousand and seven in numerals.
Show answer
Answer60 007. Sixty thousand is 60 000 and the seven goes in the ones, so the thousands, hundreds and tens each hold a 0.
Question 2
Put these numbers in order, starting with the greatest.
Show answer
Answer47 853, 47 583, 47 538. The ten thousands and the thousands match, so the hundreds decide (8, then 5), and the tens settle the last two.
Question 3
What number goes in the blank in this number pattern? 2500, 2900, 3300, ______, 4100, 4500
Show answer
Answer3700. Each number is 400 more than the one before, so 3300 + 400 = 3700.
Helping at home
How to tell it has clicked
Point at any digit in a big number and ask "what is this worth here?" If your child names the place and then the value, they have it. If they just say the digit, that is the gap.
Ask them to write forty thousand and five. A child who writes 405 or 4005 is dropping the zeros that hold the empty places.
Try this tonight
Write a five-digit number and point at one digit: "what is this worth here?" Slide the same digit one place left and ask again. It is now worth ten times more.
Read big numbers off a receipt or a car park sign aloud, in words. Every zero is a place with nothing in it, and it still has to be said or skipped correctly.
Before and after P4 numbers to 100 000
Builds on
Primary 3 Numbers to 10 000Works with numbers up to four digits
You are here
Primary 4 Numbers to 100 000
Reads each digit by its place value
Head Start
The P4 to P5 Maths jump: what to revise before P5One of three P4 topics to revise before P5 Term 1
Leads to
Primary 5 Number and Shape PatternsFinds a rule to reach far terms
Leads to
Primary 5 Whole Numbers and Four OperationsDoes the operations in the right order
More in Primary 4
Struggling with the working rather than the topic itself? How to help your child with problem sums
See how your child is doing on this topic
StudyLah marks each step separately, so you can see whether it was the setup or the arithmetic that cost the mark.