Table of 11

How to say the table of 11

Eleven one is 11, eleven twos are 22, eleven threes are 33, eleven fours are 44, eleven fives are 55, eleven sixes are 66, eleven sevens are 77, eleven eights are 88, eleven nines are 99, eleven tens are 110.

In Hindi

ग्यारह एकम ग्यारह, ग्यारह दूनी बाईस, ग्यारह तिया तैंतीस, ग्यारह चौके चौवालीस, ग्यारह पंजे पचपन, ग्यारह छक्के छियासठ, ग्यारह सत्ते सतहत्तर, ग्यारह अट्ठे अट्ठासी, ग्यारह नवें निन्यानवे, ग्यारह दहाई एक सौ दस।

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

Up to 9, write the digit twice: 11 × 4 = 44. For a two-digit number, write its two digits with their total in the middle. For 11 × 23: write 2, then 2 + 3 = 5, then 3, giving 253. If the middle total is 10 or more, carry the 1: for 11 × 48 the middle is 12, so write 4 + 1 = 5, then 2, then 8, giving 528.

Patterns in the table of 11

• Last digit. The last digits of the first ten answers are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0. Each digit from 0 to 9 appears exactly once, which happens only for numbers ending in 1, 3, 7 or 9. After × 10 the same order repeats.
• Odd and even. 11 is odd, so the answers go odd, even, odd, even: 11, 22, 33, 44, 55 and 66. An odd number times an odd number is odd, and times an even number is even.
• Digit totals. Add the digits of each answer until one digit is left. For the first nine answers you get 2, 4, 6, 8, 1, 3, 5, 7 and 9: every digit from 1 to 9, once each. This happens for every number that is not a multiple of 3.
• Steps of 11. Each answer is 11 more than the one above it. So if 11 × 7 slips your mind, take 11 × 6 = 66 and add 11 to get 77.
• Total of the first ten. Add the first ten answers and you get 605. That is 55 × 11, because 1 + 2 + 3 and so on up to 10 is 55.

How the table of 11 is built

11 is a prime number: no smaller table contains it, apart from the table of 1. So 11 × 1 = 11 is the first time 11 shows up anywhere on a multiplication chart, and its table cannot be made by doubling or tripling a smaller one. The square of 11 is 11 × 11 = 121. 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. 11 × 8 is 10 × 8 plus 1 × 8, which is 80 + 8 = 88.

Where you meet 11

A cricket team and a football team each have 11 players. Four teams at a school tournament are 11 × 4 = 44 players.

Division facts from this table

Every line gives a division fact for free. From 11 × 7 = 77 you know that 77 ÷ 11 = 7 and 77 ÷ 7 = 11. To divide a number by 11, look for it in the answers above: 99 is on line 9, so 99 ÷ 11 = 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.