Websink Prep UKKS2 MathsYear 4 chaptersMaths textbooksYear 1Year 2Year 4Year 5Year 6GCSEBrowse allPast papersFind a tutorBecome a tutor
Primary Maths · Year 4Chapter 1 · Place value to 10,000
Year 4 · Place Value · Lesson 1.2

Year 4: Thousands, hundreds, tens and ones

Part of the Year 4 place value chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)

Download worksheet (PDF)Answers (PDF)
1.2

Thousands, hundreds, tens and ones

Year 4
Place value, Represent numbers

A four-digit number has four columns: thousands (Th), hundreds (H), tens (T) and ones (O). Each column is worth 10 times the column to its right. 10 ones make 1 ten. 10 tens make 1 hundred. 10 hundreds make 1 thousand.

You can show a number with base-ten blocks. A big cube is 1,000, a flat is 100, a rod is 10 and a small cube is 1. These blocks show 2,314.

2,314
Base-ten blocks for 2,314: 2 thousands, 3 hundreds, 1 ten and 4 ones.

You can also use place-value counters. Each counter in a column has the value of that column. Here is 4,306. The tens column has no counters, so the digit there is a 0. The zero is a place holder. It keeps the other digits in the right columns. Without it, 4,306 would look like 436.

Th10001000100010004H1001001003T0O1111116
Place-value counters for 4,306.

Partitioning means splitting a number into the value of each digit: 4,306 = 4,000 + 300 + 6. We write numbers in words too: 4,306 is four thousand, three hundred and six. We put “and” before the last two digits.

Key words. The value of a digit is what it is worth. A digit is one of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. A place holder is a zero that holds an empty column.

Key ideas

  • Columns, right to left: ones, tens, hundreds, thousands. Each is 10 times bigger than the one before.
  • The value of a digit is the digit times the value of its column: the 7 in 3,742 is worth 700.
  • A zero is a place holder: 4,306 and 436 are very different numbers.
  • Partition: 4,306 = 4,000 + 300 + 6.
  • Words: put “and” before the last two digits.
Worked example 1.2.1
What is the value of the underlined digit in 5,247?

Key words. The value of a digit is how much it is worth. A place-value table has columns: ones (O), tens (T), hundreds (H), thousands (Th).

Method. The value of a digit depends on its column. Find the column, then work out the digit times the column value.

  1. Write the number in a place-value table. Each column has its own name and value.
    ThHTO
    5247
  2. Find which column the digit is in. The coloured digit is 2, in the hundreds column.
    1 hundred = 100
  3. Multiply the digit by the value of the column. There are 2 hundreds.
    2 × 100 = 200

Check. Say it in words: 2 hundreds is two hundred. ✓

Watch out. The digit is 2, but its value is 200. The value depends on where the digit sits.

Worked example 1.2.2
Partition 6,305. Write it as an addition.

Key words. To partition a number is to split it into parts, one part for each digit.

Method. Partition means splitting a number into the value of each of its digits.

  1. Write the number in a place-value table. This shows how many thousands, hundreds, tens and ones there are.
    ThHTO
    6305
  2. Work out the value of each digit. Digit times the value of its column.
    6 thousands = 6,000
    3 hundreds = 300
    0 tens = nothing to write
    5 ones = 5
  3. Leave out the zeros. A zero means that column is empty, so there is nothing to add.
  4. Write the values as an addition. Start with the biggest value.
    6,305 = 6,000 + 300 + 5

Check. Add them up: 6,000 + 300 + 5 = 6,305. ✓

Watch out. Write 3,000 for 3 thousands, not just 3. Each part keeps its full value.

Worked example 1.2.3
What number do these blocks show?

Method. Count each kind of block, work out what each kind is worth, then add them up.

  1. Count the big cubes. A big cube is worth 1,000.
    1 big cube = 1,000
  2. Count the flats. A flat is worth 100.
    4 flats = 400
  3. Count the rods and the small cubes. A rod is worth 10. A small cube is worth 1.
    2 rods = 20
    3 small cubes = 3
  4. Add the values. Start with the biggest.
    1,000 + 400 + 20 + 3 = 1,423

Check. Say it in words: one thousand, four hundred and twenty-three. ✓

Watch out. A flat is 100, not 10. Count each kind of block separately.

Worked example 1.2.4
Write 7,030 in words.

Method. Say the number in parts, from the biggest column to the smallest: thousands, then hundreds, then the last two digits.

  1. Write the number in a place-value table. This helps us see each part.
    ThHTO
    7030
  2. Say each part in words. Put "thousand" after the thousands and "hundred" after the hundreds.
    7 thousands → seven thousand
    30 (the last two digits) → thirty
  3. Join the parts together. Put "and" before the last part, just before the tens and ones.
    seven thousand and thirty

Check. Read it out loud. It sounds like 7,030. ✓

Watch out. The words for 4,065 are four thousand and sixty-five. There are no hundreds, so you do not say "hundred".

Worked example 1.2.5
Write “four thousand and sixty-five” in digits.

Method. Listen for the words "thousand" and "hundred". They tell you which column each digit goes in.

  1. Split the words into parts. Each part belongs to one or two columns.
    four thousand → 4 in the thousands column
    no hundreds are said → 0 in the hundreds column
    sixty-five → 6 tens and 5 ones
  2. Write the digits in the place-value table. Write 0 in any column that was not mentioned.
    ThHTO
    4065
  3. Write the number.
    4,065

Check. Say 4,065 in words: four thousand and sixty-five. ✓

Watch out. If no tens or ones are said, those columns are zeros: “six thousand” is 6,000.

Watch out

Do not forget the zero place holder. “Four thousand and sixty-five” is 4,065, not 465 and not 4,650. Also remember that the value of a digit is not the digit itself: in 6,420 the 6 is worth 6,000.

Exercise 1B  Place value in four-digit numbers

Non-calculator
1
FWhat number do these base-ten blocks show?
2
FWhat number do these place-value counters show?
Th100010001000H100100TO1111
3
FWhat is the value of the underlined digit?
(a)4,752
(b)6,039
(c)8,914
(d)2,356
4
FPartition each number. Write it as an addition.
(a)3,452
(b)7,086
(c)5,300
(d)9,019
5
FWrite each number in digits.
(a)5,000 + 300 + 60 + 2
(b)8,000 + 40 + 9
(c)2,000 + 700
(d)6 thousands, 0 hundreds, 8 tens and 1 one
6
FWrite each number in digits.
(a)four thousand, five hundred and twelve
(b)six thousand and forty
(c)eight thousand, three hundred
(d)two thousand and nine
7
FWrite each number in words.
(a)2,365
(b)5,009
(c)7,800
(d)3,070
8
PSHere are four digit cards. Use all four cards each time to make a four-digit number.
6039
(a)The largest number you can make
(b)The smallest number you can make
(c)The smallest even number you can make
9
FHow many are there?   Use what you know about place value.
(a)How many tens are in 560?
(b)How many hundreds are in 3,400?
(c)How many hundreds are in 7,300?
10
PSKofi has 3 boxes of 1,000 screws, 7 boxes of 100 screws, 2 boxes of 10 screws and 5 loose screws. How many screws does he have?
11
RMei says, “The 6 in 6,420 has a value of 6.” Is she right? Explain.
12
RRavi writes “four thousand and sixty-five” as 4,650. Spot his mistake and write the correct number.
13
RWhich one is different?   5,030    5,000 + 30    5 thousands and 3 tens    5,300
14
RI am a four-digit number.
My hundreds digit is 0.
My thousands digit is twice my tens digit.
My ones digit is 5 more than my tens digit.
My digits add up to 13.
What number am I?

Websink Prep UK is an independent site. It is not affiliated with, endorsed by or sponsored by AQA, Pearson Edexcel, OCR, WJEC, Eduqas, CCEA, SQA, GL Assessment, CEM or the Department for Education. All exam board names and trademarks belong to their owners. Past papers are linked from the exam boards' own websites and are not hosted here.

About Websink Prep UK · Find a tutor · Privacy · Terms · Cookie settings