Where a digit sits changes what it is worth
In 482, the 4 is not four. It is four hundreds. Same digit, different place, different value. This one idea runs through everything you do with big numbers.
Class 3 to 11 · 211 games
Numbers, explained with pictures
How numbers are built, and what happens when you put them together.
In everyday life: Counting rupees, sharing sweets between friends, reading the number on a bus.
Multiplying is counting equal groups
6 x 4 is six groups with four in each. You could count them one by one and get the same answer. Multiplying is just the fast way.
Numbers can be broken into parts
12 is 3 x 4, and also 2 x 6. Those parts are called factors. Some numbers, like 7, can only be broken into 1 x 7 — those are the prime numbers.
A worked example
What is the 7 worth in 3,704?
3,000 + 700 + 4
700
Reading from the right: 4 ones, 0 tens, 7 hundreds, 3 thousands. The 7 sits in the hundreds place, so it is worth 7 hundreds.
Words to know
- digit
- One of the symbols 0 to 9.
- place value
- What a digit is worth because of where it sits.
- factor
- A number that divides into another with nothing left over.
- multiple
- What you get when you multiply a number by 1, 2, 3, and so on.
In the games
You will sort numbers into groups, match a number to blocks that show it, and put numbers in order by size.
Skills
- Multiplication as an array · Class 3
- Represent numbers with base-ten blocks · Class 3
- Count equal groups · Class 3
- Odd and even numbers · Class 3
- Compare whole numbers · Class 3
- Number bonds to ten · Class 3
- Estimate a quantity · Class 3
- Carrying and borrowing in columns · Class 3
- Place value to 5 digits · Class 4
- Multiplication facts to 10x10 · Class 4
- Long multiplication by place value · Class 4
- Multiples and factors · Class 5
- Prime and composite numbers · Class 5
- Rounding to the nearest ten or hundred · Class 5
- Factors of a number · Class 5
- Long division with a remainder · Class 5
- Highest common factor · Class 6
- Order positive and negative numbers · Class 6
- Add, subtract and multiply integers · Class 6
- Integer addition and multiplication · Class 7
- Powers and exponents · Class 7
- Compare the size of powers · Class 7
- Squares and square roots · Class 8
- Rational numbers on a line · Class 8
- Cubes and cube roots · Class 8
- Zero and negative exponents · Class 8
- Divisibility tests · Class 8
- Surds and rationalising · Class 9
- HCF by Euclid's division algorithm · Class 10
- Logarithms · Class 11
By class
Class 3 numbers (38) · Class 4 numbers (37) · Class 5 numbers (36) · Class 6 numbers (26) · Class 7 numbers (21) · Class 8 numbers (37) · Class 9 numbers (6) · Class 10 numbers (6) · Class 11 numbers (4)
Practise numbers in Tivumo
No download, no account for your child. Classes 3 to 12, more than 1,000 games.