# Numbers to a million · Year 5

> Numbers to a million, Year 5: Place value, Comparing and ordering and more. Explanation, worked examples and free practice for the national curriculum in England.

In Numbers to a million (Year 5) you practise 6 skills: Place value · Reading and writing numbers · Comparing and ordering · Number sequences · The number line · Building numbers.

To read a large number, split its digits into groups of three from the right: 318,405. The group on the right is the units, tens and hundreds, and the group before it is the thousands. Read each group as a small number and add its name: three hundred and eighteen thousand, four hundred and five.

To compare two numbers, count the digits first: the number with more digits is larger. When they have the same number of digits, compare them digit by digit from the left until two digits differ. So 318,450 is greater than 318,405: the digits are the same up to the tens digit, and there 5 is greater than 0.

In a sequence with an equal step, each number is the same amount more or less than the one before. To fill in a missing number, find the step from two neighbouring numbers, then add it or take it away.

**Tip:** A zero inside a number keeps the place: 40,315 has no thousands, but it has four ten thousands.

## What you learn

### Place value

- Example: How many whole hundreds are there in 9,556?
- Answer: 95
- Solution: 9,556 = 95 × 100 + 56 There are 95 whole hundreds in the number.

### Reading and writing numbers

- Example: Write in digits: nine thousand, five hundred and fifty-seven.
- Answer: 9557
- Solution: Thousands: 9. Hundreds, tens and units: 557. 9,557

### Comparing and ordering

- Example: Fill in the sign: 109,636 ☐ 91,430
- Answer: >
- Solution: 109,636 has 6 digits and 91,430 only 5, so: 109,636 > 91,430

### Number sequences

- Example: Write the missing number in the sequence: 150,500; 150,400; ☐; 150,200; 150,100
- Answer: 150300
- Solution: The sequence goes down by 100 at each step: 150,400 − 100 = 150,300

### The number line

- Example: Which number is marked on the line? (A number line from 0 to 1,000, divided into 10 equal parts. A point is marked on one of the marks.)
- Answer: 300
- Solution: Each part is worth: (1,000 − 0) ÷ 10 = 100 The point is 3 parts after 0: 0 + 3 × 100 = 300

### Building numbers

- Example: Which number meets every condition? It has 5 digits. Its hundreds digit is 1.
- Options: 25140 25,140 · 7154 7,154 · 77951 77,951
- Answer: 25140
- Solution: 25,140 meets every condition. 77,951 does not fit: its hundreds digit is 9. 7,154 does not fit: it has 4 digits.

The exercises are made by rules and the answers are worked out in code. The topic follows the national curriculum in England: mathematics (key stages 3 and 4).

[Practise on the site](https://kixplo.com/uk/en/) · [All Year 5 topics](https://kixplo.com/uk/en/maths/year-5/)