Numeric Palindromes

A fun hundreds chart activity finding palindromes. Worksheet and answer keys included.

1. Numeric Palindromes
3rd Grade Indiana Standard 3.2.1b

2. Numeric palindromes
are like word palindromes.
They read the same backwards as forwards.
•wow
•racecar
•55
•101
•2332

3. 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 1
then add
12 becomes a palindrome
after one step so we say
it is a 1-step palindrome
33

4. Example B:
Let’s try 46.
4 6
reverse the digits
6 4
then add
46 becomes a palindrome
after two steps so we say
it is a 2-step palindrome
1 10
1
reverse the digits again
then add again
0 1 1
121

5. Other numbers can
take 3, 4, 5, or 6 steps
to become a palindrome.
9 5
reverse the digits
5 9
then add
95 is a 3-step palindrome
1 54
reverse the digits again
then add again
4 5 1
506
1
1
5 0 6
1
1
11 1
reverse the digits again
then add again
Example C:

6. Even large numbers can
be changed into palindromes…
4 2 3
reverse the digits3 2 4
then add
7
423 is a 1-step palindrome
47
Example D:

7. Some numbers even take 24steps!!!!
There are two numbers on your hundreds
chart that each take 24 steps.
Can you find them ! ? ! ?

8. Teachers, the following slides include a
worksheet and a page with the answers for
numeric palindromes to 100.

9. 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!
12345678910
11121314151617181920
21222324252627282930
31323334353637383940
41424344454647484950
51525354555657585960
61626364656667686970
71727374757677787980
81828384858687888990
919293949596979899100
Palindromes Hundreds Chart
X

11. Palindromes 1-100 with # of steps and answers:
nu mb er # of s t eps an swe r nu mb er # of s t eps an swe r
1 0 1 51 1 66
2 0 2 52 1 77
3 0 3 53 1 88
4 0 4 54 1 99
5 0 5 55 0 55
6 0 6 56 1 121
7 0 7 57 2 363
8 0 8 58 2 484
9 0 9 59 3 1111
10 1 11 60 1 66
11 0 11 61 1 77
12 1 33 62 1 88
13 1 44 63 1 99
14 1 55 64 2 121
15 1 66 65 1 121
16 1 77 66 0 66
17 1 88 67 2 484
18 1 99 68 3 1111
19 2 121 69 4 4884
20 1 22 70 1 77
21 1 33 71 1 88
22 0 22 72 1 99
23 1 55 73 2 121
24 1 66 74 1 121
25 1 77 75 2 363
26 1 88 76 2 484
27 1 99 77 0 77
28 2 121 78 4 4884
29 1 121 79 6 44044
30 1 33 80 1 88
31 1 44 81 1 99
32 1 55 82 2 121
33 0 33 83 1 121
34 1 77 84 2 363
35 1 88 85 2 484
36 1 99 86 3 1111
37 2 121 87 4 4884
38 1 121 88 0 88
39 2 363 89 24 8,813,200,023,188
40 1 44 90 1 99
41 1 55 91 2 121
42 1 66 92 1 121
43 1 77 93 2 363
44 0 44 94 2 484
45 1 99 95 3 1111
46 2 121 96 4 4884
47 1 121 97 6 44044
48 2 363 98 24 8,813,200,023,188
49 2 484 99 0 99
50 1 55 100 1 101