Palindromes
Palindromes
A palindrome is a number or word that is the same backwards and forwards.
Here are some examples: 55, 121, 24342, navan, mam etc.
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You can make some numbers into palindromes if you add them to their opposite. |
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One-step palindromes. |
10 is a one step palindrome because 10 + 01 = 11 and 11 is a palindrome |
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Two-step palindromes. |
19 is a two step palindrome
because it takes two steps or two addition sums to make it a
palindrome.
Step 1. 19 + 91 = 110 Step 2. 110 + 011 = 121 and 121 is a palindrome. |
Look at our 0 - 99 chart below.
We worked in groups of four to find out how many steps it takes to turn the numbers into palindromes.
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Key to the colours used. |
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Already palindromes | |
| One step palindrome | ||
| Two step palindrome | ||
| Three step palindrome | ||
| Four step palindrome | ||
| Five step palindrome | ||
| More than six steps | ||
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
| 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
| 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
| 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
| 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 |
| 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 |
| 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 |
| 90 | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 |
Now a question for you!!
How many steps does it take to make 98 or 89 a palindrome?
You can email us if you
give up! Kellie worked out the answer for us. 