**Name_______________________________________________Date_________________________
Mathematics Problem Solving
Volume 5, Number 10, November 8, 1999
www.rhlschool.com**

When you see a
number like this: 5^{2}, you read it as five
squared (or five to the second power). When a number is squared, it is
multiplied times itself. (It does not mean that it’s
multiplied by two.)

5^{2}
= 25 10^{2} =
100 9^{2} = 81

The square root of a number is the number that was multiplied times itself to become that number. The square root of 25 is 5. The square root of 100 is 10. The square root of 81 is 9.

The following riddles will give you practice in thinking about and remembering what it means to square a number.

**1. I
am a number. I am not zero. If I am squared, I’m still the
same. What number am I?**

2. I am a number. I am
the sum of 4^{2} and 6^{2}.
What number am I?

3. I am a number. I am
the square root of the number of squares on a chess or checker board.
What number am I?

4. I am a state in New
England. If you find the square root of half of 98, you’ll
know the number of letters in my name. What state am I?

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