ASCENTLEARNING
Join a weekly class
Skip to learning content
YEAR 3 · WHOLE NUMBERS AND ESTIMATION · 15 MIN

Numbers beyond 10,000

Read, write and build five-digit numbers, including numbers that contain zero.

In this lesson

Before you start
  • Reading numbers to 1,000
01 / LEARN

Understand the idea.

A new place on the left

When 1 is added to 9.999, all the smaller places fill up and make 10.000. The new ten-thousands place sits to the left of thousands. Ten thousands have the same value as one ten-thousand.

Read a large number in two parts: the thousands, then the last three digits. In 14.206, read 14 thousand followed by 206. The comma separates these parts; it is not a digit.

Build and read carefully

A zero holds an empty place so the other digits stay in the correct columns. In 20.035, the empty thousands and hundreds places need zeros; the 3 means three tens.

To write a number you hear, first identify the thousands part. Then fill the hundreds, tens and ones places in order, including any zeros. Read your completed number aloud to check that it matches.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Read a five-digit number

Read 14,206 in words.

Worked solution

  1. 1

    Separate the thousands from the last three digits.

    14.206=14.000+206

    The comma groups the last three places together.

  2. 2

    Read the smaller part.

    206=200+6

    There are two hundreds, no tens and six ones.

  3. 3

    Join the two number names.

    Fourteen thousand followed by two hundred and six gives fourteen thousand two hundred and six.

Answer

Fourteen thousand two hundred and six.

EXAMPLE 02

Write a spoken number

Write twenty-three thousand and forty in digits.

Worked solution

  1. 1

    Write the thousands part.

    23×1.000=23.000

    Twenty-three thousand means twenty-three groups of one thousand.

  2. 2

    Place forty in the tens column.

    40=0×100+4×10+0

    There are no hundreds or ones in forty.

  3. 3

    Combine the parts.

    23.000+40=23.040

    The zero in the hundreds place keeps four in the tens place.

Answer

23,040

03 / YOUR TURN

Try it yourself.

Check your understanding

What number comes immediately after 19,999?

Show answer & reasoning

20,000

19.999+1=20.000. Each filled place exchanges into the next place, completing twenty thousand.

Keep practising

6 worksheet questions

Read the questions online
  1. Write 12,418 in words.
  2. Write thirty-one thousand two hundred and five in digits.
  3. Write the number just before 10,000.
  4. Write the next three numbers: 15.998;15.999;_⁢_;_⁢_;_⁢_.
  5. A town has 18 thousands, 3 hundreds, 2 tens and 6 ones in its population count. Write the population.
  6. Mila writes twenty thousand and seven as 20,070. Explain the mistake and write the correct number.
Read the worked solutions
  1. Write 12,418 in words.

    Read 12 thousands, then 418.

    Twelve thousand four hundred and eighteen.
  2. Write thirty-one thousand two hundred and five in digits.

    31 thousands plus 205 gives 31,205.

    31,205
  3. Write the number just before 10,000.

    Subtract one from 10,000.

    9,999
  4. Write the next three numbers: 15.998;15.999;_⁢_;_⁢_;_⁢_.

    Increase by one each time. Crossing 15,999 changes the thousands part.

    16.000;16.001;16.002
  5. A town has 18 thousands, 3 hundreds, 2 tens and 6 ones in its population count. Write the population.

    18.000+300+20+6=18.326.

    18,326 people
  6. Mila writes twenty thousand and seven as 20,070. Explain the mistake and write the correct number.

    20.000+7=20.007; 20,070 means twenty thousand and seventy.

    The seven must be in the ones place. The number is 20,007.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum Mathematics

Numbers beyond 10,000; place value; ordering; estimating quantities and answers.

Official curriculum source ↗

Save your next step.

Create a free account to save your learning progress. Lessons and downloads stay free, with or without an account.

Create free account