Algebra Rules - Addition and Subtraction - Corollary

Algebra – Class 3a
Basic Rules of
Algebra – Corollary
1
Edishta Resource Centre www.edishta.com

2
Algebra - Rules
You know about decimals and fractions, aren’t you?
Just have a quick glance at them and try recalling them…
4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87

3
Algebra - Rules
4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87
15)19( 1
15
04

4
Algebra - Rules
4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87
LCM of
9,12 is 36

5
Algebra - Rules
4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87
4 X 3 = 12
12 + 2 = 14

6
Algebra - Rules
4.5 + 3.3 = 7.8 1.25 + 2.98 = 4.23 3.4 – 1.7 = 1.7 23.45 - 12.58 = 10.87
Same thing continues here also.

Algebra - Rules
What is the rules
of addition and
subtraction?
It is adding or subtracting the
numbers
then joining coefficient
with the total
No other rules for decimals
and fractions…

8
Algebra – Addition and Subtraction (Decimals)
Shall we move ahead to see some examples?...
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
8.45m + 4.835m = 13.285m 53.2qp + 32pq = 85.2pq 19.302abc + 0.8abc = 20.102abc

9
(a= 1a)
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
1.2
4.6
5.8
Coeff. is x so
Ans. is 5.8x
2.3
5.8
8.1
Coeff. is y so
Ans. is 8.1y

10
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
8.45
+ 4.835
13.285
and m so 13.285m
19.302
+ 0.8 `
20.102
So 20.102abc

11
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
Subtraction
3.8x – 2.2x = 1.6x 19.3c - 8.8c = 10.5c 2.41def –def = 1.41def
7.51k - 6.894k = 0.616k 21.325uv - 1.325uv = 20uv 53xyz – 24.21yxz = 28.79xyz

12
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
3.8
-2.2
1.6
19.3
- 8.8
10.5
Coeff. is x so
Ans. is 1.6x
Coeff. is c so
Ans. is 10.5c
Subtraction (def= 1def)

13
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
7.51
Subtraction
- 6.894
0.616
and k so
Ans. is 0.616k
xyz= yxz

14
Addition
1.2x + 4.6x = 5.8x 2.3y + 5.8y = 8.1y 6.8a + a = 7.8a
Subtraction

15
Algebra – Addition and Subtraction (Fractions)
Addition

16
Addition
LCM is 12
and x so

17
Addition
LCM is 42 2n =

18
Addition
Coeff. is x so
Ans. is LCM is 9
Subtraction lkm= 1klm

19
Addition
Subtraction
LCM is 24

20
Addition
Subtraction

Algebra – Mixed Types
What if we
have fractions
and decimals
both?
Convert either fraction to decimals or vice
versa depending on easiness.

What if we
have fractions
and decimals
both?
Fraction to decimal
3/5 = 0.6

What if we
have fractions
and decimals
both?
Fraction to decimal
3/4 = 0.75
+ 2 = 2.75

What if we
have fractions
and decimals
both?
Decimal to fraction
0.3 = 3/10 (Multiply and
divide by powers of 10 to
remove decimal)

What if we
have fractions
and decimals
both?
Fraction to decimal
5/16 = 0.3125

What if we
have fractions
and decimals
both?
Decimal to fraction
2.25 = 225/100 (Multiply
and divide by powers of 10)
225/100 = 9/4
(Simplifying)

What if we have
–ve number
greater among
two?
Basic rules says to
apply the sign of
greater number

What if we have
–ve number
greater among
two?
Basic rules says to
apply the sign of
greater number
3.2xy - 4.6yx = -1.2xy 3.13y - 10.9y = -7.77y -6.8a + 0.801a = -6.001a

What if we have
–ve number
greater among
two?
Basic rules says to
apply the sign of
greater number
When you have two
different signs +
3.2xy - 4.6yx = -1.2xy 3.13y - 10.9y = -7.77y -6.8a + 0.801a = -6.001a
and – then do
subtraction from
bigger with smaller
and assign sign of
bigger number.

Algebra – Unlike Terms
If there are
unlike
terms
Don’t do
anything
Just keep
the same
thing

Algebra – Unlike Terms
If there are
unlike
terms
Don’t do
anything
Just keep
the same
thing
5.2x + 2.548xy = 5.2x + 2.548xy 8.75t + 4.37y = 8.75t + 4.37y

Algebra Rules - Addition and Subtraction - Corollary

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