Read and write numbers to 10000

What you will learn

• Read and write numbers to 10000

Models used: number sentences, stories, tables.

Before you start

• Represent numbers to 10000 using place value

Every digit has a job

The counters are sorted into columns. Each column tells us the size of its units.

1. The number at the top of each column is the value of one counter in that column.

   The counters are sorted into columns. Each column tells us the size of its units.

   A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

2. The number at the top of each column is the value of one counter in that column.

   Look at the left column. Its digit counts the biggest units in this number.

   A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

3. The number at the top of each column is the value of one counter in that column.

   Now read the value of every column. A zero keeps an empty place ready.

   3042

   A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

4. The number at the top of each column is the value of one counter in that column.

   Put the values together. These are different ways to describe the very same number.

   3000 + 40 + 2

   A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

Worked example: A new example, together

Write “three thousand two hundred and sixty-seven” in numerals.

1. Read one place at a time. Read each value with the heading above its column.

   Say the number in place-value groups, then write a digit for every place, including the empty ones.

   Number words and numerals describe the same groups of place-value units.

   Read one place at a time

   Place	Digit	Value
   thousands	3	3000
   hundreds	2	200
   tens	6	60
   ones	7	7

2. Read one place at a time. Read each value with the heading above its column.

   Read the largest place-value group first, then each smaller group.

   Read one place at a time

   Place	Digit	Value
   thousands	3	3000
   hundreds	2	200
   tens	6	60
   ones	7	7

   Write “three thousand two hundred and sixty-seven” in numerals.

   3267

3. Read one place at a time. Read each value with the heading above its column.

   Empty columns still need zeroes in the numeral.

   Read one place at a time

   Place	Digit	Value
   thousands	3	3000
   hundreds	2	200
   tens	6	60
   ones	7	7

4. Read one place at a time. Read each value with the heading above its column.

   3267 is three thousand two hundred and sixty-seven.

   Read one place at a time

   Place	Digit	Value
   thousands	3	3000
   hundreds	2	200
   tens	6	60
   ones	7	7

5. Read one place at a time. Read each value with the heading above its column.

   Check the result against the question we started with.

   Read the result back: three thousand two hundred and sixty-seven = 3267.

   We found 3267. Number words and numerals describe the same groups of place-value units.

   Read one place at a time

   Place	Digit	Value
   thousands	3	3000
   hundreds	2	200
   tens	6	60
   ones	7	7

Common mistakes to discuss

• Writing what you hear. “Three thousand and five” is 3005, not 30005. Each group of three digits needs its empty places filled with zeros.

Check your understanding

• Read and write numbers to 10000
• write a number from its name, keeping every place filled
• check the answer against the original quantities and units

Explain your reasoning to an adult, then try a fresh question in the interactive lesson. A result from one attempt is not proof of lasting mastery.