Numeric Palindromes

3rd Grade Indiana Standard 3.2.1b

Numeric palindromesare like word palindromes.

They read the same backwards as forwards.• wow• racecar• 55• 101• 2332

Let’s do some examples:Example A: 12 is not a palindrome…………………

BUT with a little addition

12 can be transformed into a palindrome.

1 2 reverse the digits2 1then add

12 becomes a palindromeafter one step so we sayit is a 1-step palindrome

3 3

Example B: Let’s try 46.

4 6 reverse the digits6 4then add

46 becomes a palindromeafter two steps so we sayit is a 2-step palindrome

1 1 0

1

reverse the digits again

then add again0 1 1

121

Other numbers can take 3, 4, 5, or 6 steps

to become a palindrome.9 5

reverse the digits5 9then add

95 is a 3-step palindrome

1 5 4reverse the digits again

then add again4 5 1

506

1

1

5 0 6

1

1

11 1

reverse the digits again

then add again

Example C:

Even large numbers can be changed into palindromes…

4 2 3reverse the digits3 2 4then add

7423 is a 1-step palindrome

4 7

Example D:

Some numbers even take 24 steps!!!!

There are two numbers on your hundreds chart that each take 24 steps.

Can you find them ! ? ! ?

Teachers, the following slides include a worksheet and a page with the answers for

numeric palindromes to 100.

Name Date

Draw the correct shape or symbol on each number according to how

many steps it takes to make the number palindromic.

: 0-step : 3-step : 6-step

: 1-step : 4-step

: 2-step (there are no 5-steps) : 24-steps!

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 99 100

Palindromes Hundreds Chart

X

Name Date

Draw the correct shape or symbol on each number according to how

many steps it takes to make the number palindromic.

: 0-step : 3-step : 6-step

: 1-step : 4-step

: 2-step (there are no 5-steps) : 24-steps!

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 99 100

Palindromes Hundreds Chart

X

Answer Key

XX

XXX X X

X XX

XXXX X X

X X X

79

97

Palindromes 1-100 with # of steps and answers:

1 0 1 51 1 662 0 2 52 1 773 0 3 53 1 884 0 4 54 1 995 0 5 55 0 556 0 6 56 1 1217 0 7 57 2 3638 0 8 58 2 4849 0 9 59 3 111110 1 11 60 1 6611 0 11 61 1 7712 1 33 62 1 8813 1 44 63 1 9914 1 55 64 2 12115 1 66 65 1 12116 1 77 66 0 6617 1 88 67 2 48418 1 99 68 3 111119 2 121 69 4 488420 1 22 70 1 7721 1 33 71 1 8822 0 22 72 1 9923 1 55 73 2 12124 1 66 74 1 12125 1 77 75 2 36326 1 88 76 2 48427 1 99 77 0 7728 2 121 78 4 488429 1 121 79 6 4404430 1 33 80 1 8831 1 44 81 1 9932 1 55 82 2 12133 0 33 83 1 12134 1 77 84 2 36335 1 88 85 2 48436 1 99 86 3 111137 2 121 87 4 488438 1 121 88 0 8839 2 363 89 24 8,813,200,023,18840 1 44 90 1 9941 1 55 91 2 12142 1 66 92 1 12143 1 77 93 2 36344 0 44 94 2 48445 1 99 95 3 111146 2 121 96 4 488447 1 121 97 6 4404448 2 363 98 24 8,813,200,023,18849 2 484 99 0 9950 1 55 100 1 101