Table of 18

How to say the table of 18

Eighteen one is 18, eighteen twos are 36, eighteen threes are 54, eighteen fours are 72, eighteen fives are 90, eighteen sixes are 108, eighteen sevens are 126, eighteen eights are 144, eighteen nines are 162, eighteen tens are 180.

In Hindi

अठारह एकम अठारह, अठारह दूनी छत्तीस, अठारह तिया चौवन, अठारह चौके बहत्तर, अठारह पंजे नब्बे, अठारह छक्के एक सौ आठ, अठारह सत्ते एक सौ छब्बीस, अठारह अट्ठे एक सौ चौवालीस, अठारह नवें एक सौ बासठ, अठारह दहाई एक सौ अस्सी।

This is the traditional chant used in Hindi-medium schools. The words for the multiplier (एकम, दूनी, तिया and so on) vary a little from region to region. All the pahade from 2 to 20 are on the Hindi pahade page.

A quick way to work it out

Twenty times minus two times. For 18 × 7: 140 − 14 = 126. Or double the table of 9: 9 × 7 = 63, doubled is 126. Because 18 is a multiple of 9, the digits of every answer add up to 9 or a multiple of 9 (126 gives 1 + 2 + 6 = 9).

Patterns in the table of 18

• Last digit. The last digits run 8, 6, 4, 2 and 0 and then start again, a cycle of five. All of them are even, so no answer in the table of 18 can be odd.
• Odd and even. 18 is even, so every answer is even, whatever you multiply by.
• Digit totals. Add the digits of any answer, and add again if you get two digits: you always reach 9. For example 126 gives 1 + 2 + 6 = 9. This is true for every multiple of 9.
• Steps of 18. Each answer is 18 more than the one above it. So if 18 × 7 slips your mind, take 18 × 6 = 108 and add 18 to get 126.
• Total of the first ten. Add the first ten answers and you get 990. That is 55 × 18, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 18 is built

18 is not prime: it can be written as 2 × 9 or 3 × 6. So its table can be built from a smaller one. For example 18 × 6 is 3 × 36, and 6 × 6 = 36, so the answer is 3 × 36 = 108. The square of 18 is 18 × 18 = 324. On a multiplication chart the squares lie on the diagonal line from top left to bottom right.

Split it. Above 10, the sure method is to split the number into tens and units. 18 × 8 is 10 × 8 plus 8 × 8, which is 80 + 64 = 144.

Where you meet 18

Eighteen is half of 36 and a dozen and a half. A full round of golf is 18 holes, and one and a half dozen eggs are 18 eggs.

Division facts from this table

Every line gives a division fact for free. From 18 × 7 = 126 you know that 126 ÷ 18 = 7 and 126 ÷ 7 = 18. To divide a number by 18, look for it in the answers above: 162 is on line 9, so 162 ÷ 18 = 9. More on this in division from tables.

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Next

All tables: 1 to 10, 11 to 20, 21 to 30. Methods: table tricks.