Base and Complement are very important in Vedic Mathematics and form the basis of many calculations.
As explained above we work in a base 10 number system. In order to ease our calculations we can take any number ending with ‘0’ i.e. any multiple of 10 as our base.
The Complement of a number is the difference between that number and the next higher power of 10.
This includes all 1 digit numbers. It is the number that should be added to make it 10.
The complement of 6 is 4.
The complement of 7 is 3.
This includes all 2 digit numbers. It is the number that should be added to make it 100.
The complement of 55 is 45.
The complement of 89 is 11.
Finding a complement of a number:
Let’s talk about what division really is — it is repeated subtraction; much the way multiplication is repeated addition.
Let’s say I have the basic problem 16 ÷ 4. I could start with 16 and then subtract 4, subtract another 4, another 4, and another 4 until I run out and reach zero. I would have to do this 4 times. If I had 16 cookies that I wanted to share equally among 4 friends, I could do the “one for you, one for you, one for you, and one for you” process and still end up with 4 cookies for each.
But what about 375 ÷ 50? If I don’t know how to divide by double digit numbers, the repeated subtraction process might actually be a good choice . . . at least showing some number sense to know that 375 divided by 50 means “How many 50’s in 375?” I know if I subtract 50 six times, I still have 75 left. I can subtract another 50 and I have 25 left over. So 375 ÷ 50 = 7 with a remainder of 25.
Dividing using the distributive law
|69 ÷ 3
||60 + 9
||(60 ÷ 3) = 20
(9 ÷ 3) = 3
|20 + 3 = 23
|391 ÷ 3
||390 + 1
|| (390 ÷ 3) = 130
(1 ÷ 3) = cannot be divided
|130 with Remainder 1
Before a child is ready to learn long division, he/she has to know: Continue reading
Place value and Face value
Face value of a digit is the digit itself whereas Place value can be termed as the location of the digit in the numeral.
The value of a place in the place value chart is 10 times the value of the place just to its right.
A quick look at the grade 2 lesson on introduction to multiplication
Taming the tables – Tips to introduce multiplication
While multiplying always remember :
An even number x an even number = an even number
An odd number x an even number = an even number
An odd number x an odd number = an odd number
Distributive property of multiplication
Have tried breaking the syllabus given by IMO into smaller parts for better understanding.
– Number sense
- Numerals and number name (3 digits)
- Comparing Numbers
- Arranging numbers in ascending or descending order
- Abacus and Places values
- Expanded form
- Even and odd numbers
- Formation of a number from given digits/information