Test for Understanding Place Value

Questions to test understanding of the Place Value Concept

1.	Why do we have individual numerals for numbers from Zero to Nine only? Why do we write numbers bigger than Nine with a combination of numerals from Zero to Nine?

2.	Why is our number system a Ten Base system?

3.	Why does 2 when multiplied by Ten become 20?

4.	In 20 what exactly is twenty?

5.	If in a fraction, there is a 0 at the end of both the numerator & denominator, then we can cancel both the 0s. Why cannot we do it if it is any other number?

6.	Why do we not write 12 in the above problem as 012?

7.	What exactly is the meaning of 3.729?

8.	In adding 56 & 78, why do we carry the 1 out of 14 which is the total of 6 & 8?

9.	What do we do when we “borrow” during subtraction? Don’t we have to return what we have borrowed?

10.	When multiplying a number, we start the operation from the Unit place & when we divide a number we start from the opposite end. Why?

11.	How do you really make a student understand the difference between 120, 102, 201, 201, 12 & 21?

12.	56 is an even number because 6 is even. Why do we not consider 5 which is an odd number?

13.	Our number system is the Decimal System? What do you understand by an Octal system? Can you write the sequence of numbers in the Octal system starting from 0?

14.	Write two dozens in the Octal system.

15. The same number can be expressed in different ways using non-standard representation of the place value system