Tap a tip below to see which cells of the table it covers.
These patterns make multiplication much easier. Try tapping each button to discover a helpful tip.
You are not memorizing 144 problems. You are learning eight tips — and the fifteen problems not covered by them.
Multiplying by 1 doesn't change the number. Whatever you start with is the answer.
It gives a kid who's nervous about the table a string of guaranteed wins to start a Kata with — confidence first, hard problems later.
Multiplying by 2 means doubling the number. Add it to itself to find the answer.
If your kid can add two numbers, they can do the twos. The doubles usually come automatically.
Multiplying by 5 is counting by fives. The answers always end in 5 or 0.
Backup: 5 is half of 10, so 5 × n is half of 10 × n. Half of 80 is 40.
The nines form a pattern. Count from 0 up for the first digit and from 9 down for the second: 09, 18, 27…
Covers 9 × 1 through 9 × 9. For 9 × 10, 11, 12, use the tens, elevens, and twelves tips.
Multiplying by 10 shifts the number one place to the left. Just add a zero.
Two-digit numbers work the same way: 10 × 12 = 120.
From 1 through 9, just repeat the digit.
For 10, 11, and 12, put the sum of the two digits in the middle.
If you know the elevens tip, you already know twelves. Find 11 × the number, then add the number once more.
The order doesn't matter. If you know 4 × 6, then you also know 6 × 4. This is called the commutative property.
The table has 144 cells, but only 78 unique products. Every problem you learn comes with its mirror image free.
About fifteen problems aren't covered by any of the eight tips above. They're not harder than the others — I just don't know a tip that covers them. Memorize these, and you've finished the table.
By the commutative property, the highlighted upper triangle (15 cells) holds the unique products. The dimmer lower triangle is the same answers in mirror order.
