Class 08 Activity – Happy Numbers
A happy number is one for which the sum of the squares of its digits ends in 1 after repeated squaring and adding as shown below. Is 13 a happy number?
1² + 3² = 10 and then 1² + 0² = 1.
Yes, 13 is a happy number.
Sometimes many repetitions are necessary.
Is 44 a happy number?
4² + 4² = 3² and 3² + 2² = 13 and 1² + 3² = 10 and 1² + 0² = 1. Yes.
Is your house number a happy number?
Is your telephone number a happy number?
Is your birthdate a happy number?
Is today's date a happy number?
A happy number name, or word, is found by giving each letter of the alphabet a number, i.e.,
A B C D …... Z
1 2 3 4 …… 26
Is MATHS a happy number word?
MATHS is 13 1 20 8 19.
13² + 12²+ 202+8² + 19² = 995
and 9² +9²+ 5² = 187 etc.
Continue to find whether MATHS is a happy number word.
Which days of the week are happy number days?
Which months of the year are happy number months?
Is your name a happy number word?
Is the name of your city or town or district a happy number name?
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