Primary 5 Numbers up to 10 million
Keywords
- Millions group
- The digits to the left of the thousands group.
- Place value
- What a digit is worth because of its position.
- Expanded form
- A number written as a sum of its nonzero place values.
- Increasing order
- Smallest to largest.
- Decreasing order
- Largest to smallest.
Read and write numbers
Group digits in threes from the right: millions | thousands | ones. Read each group in order. Zeros keep empty places but are not read as separate words.
When do we use each mark?
A ✓ means the mark appears in that example. Join two named groups with ‘and’. When all three groups are named, use a comma after millions and ‘and’ before the final group.
Swipe the table sideways to see the number words →
| No. | Comma | ‘and’ | Hyphen | Example | |
|---|---|---|---|---|---|
| 1 | × | × | × | 4 000 000 | four million |
| 2 | × | ✓ | × | 4 000 005 | four million and five |
| 3 | × | ✓ | × | 4 200 000 | four million and two hundred thousand |
| 4 | ✓ | ✓ | × | 4 200 005 | four million, two hundred thousand and five |
| 5 | × | ✓ | ✓ | 4 025 000 | four million and twenty-five thousand |
| 6 | ✓ | ✓ | ✓ | 4 325 021 | four million, three hundred and twenty-five thousand and twenty-one |
In numerals, use spaces between the three-digit groups: 4 325 021.
Choose a number to read
four million, two hundred and five thousand and eighteen
Read the millions, thousands and last three digits as groups.
See worked example
Write 4 205 018 in words. Write “six million, thirty thousand and four” in numerals.
- Split 4 205 018 into 4 | 205 | 018.
- Read each nonzero group: four million, two hundred and five thousand, and eighteen.
- For six million, thirty thousand and four, write 6 | 030 | 004. Keep the zeros in the empty places.
Answer: four million, two hundred and five thousand and eighteen; 6 030 004.
Try together
Write 7 040 300 in words. Write “nine million and eight” in numerals.
Reveal the answer
seven million, forty thousand and three hundred; 9 000 008.
Place value to ten million
Each move one place left makes a digit worth ten times as much. Tap a digit to see its value. A zero holds an empty place.
Tap a digit to find its value
Tap a digit to find its value.
See worked example
What is the value of the 2 in 4 205 018? Write the number in expanded form.
- The 2 is in the hundred-thousands place, so its value is 200 000.
- The nonzero digits are worth 4 000 000, 200 000, 5 000, 10 and 8.
- Add those place values.
Answer: The 2 is worth 200 000; 4 205 018 = 4 000 000 + 200 000 + 5 000 + 10 + 8.
Try together
What is the value of the 4 in 7 040 300? Write the number in expanded form.
Reveal the answer
The 4 is worth 40 000. 7 040 300 = 7 000 000 + 40 000 + 300.
Compare and order numbers
Compare from the largest place. The first place where the digits differ decides the greater number. Order from smallest to largest or reverse the order for largest to smallest.
Find the first different place
Swipe the table sideways to see every place.
| Number | Ten millions | Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones |
|---|
Start at the ten-millions place. Which digit is larger?
See worked example
Compare 4 205 018 and 4 250 018. Put 7 040 300, 7 400 030 and 7 004 300 in increasing order.
- The two numbers match in the millions and hundred-thousands places.
- At the ten-thousands place, 0 is less than 5, so 4 205 018 < 4 250 018.
- The three numbers to order all have 7 millions. Compare the hundred-thousands, then ten-thousands.
Answer: 4 205 018 < 4 250 018; 7 004 300, 7 040 300, 7 400 030.
Try together
Put 9 999 999, 10 000 000 and 9 090 909 in decreasing order.
Reveal the answer
10 000 000, 9 999 999, 9 090 909.