Question

5:- Use identities to get the product.

1) 7

2 − 5

2

2) 4 + 3 4 − 3

3) 203 X 204.

Activity 6:-

Represent the following data using Pictograph :

Production of cycles in the following months June 14,000, July 16,000,

August 8,000 September 10,000 October 12,000 and November 14,000​

Answer 1

Step-by-step explanation:

1)Given that:-7×2-5×2

=>2(7-5)

Distributive property under multiplication over subtraction

=>2(2)

=>4

7×2-5×2=4

2)4+34-3

=>(4+34)-3

=>38-3

=>35

4+34-3=35

3)203×204

It can be written as (200+3)×(200+4)

It is in the form of (x+a)×(x+b)

Here, x=200; a=3;b=4

(x+a)×(x+b)=x²+(a+b)x+ab

(200+3)×(200+4)

=>(200)²+(3+4)(200)+(3×4)

=>40000+(7)(200)+12

=>40000+1400+12

=>41412

203×204=41,412

4)

Production of cycles in the month of June=14000

Production of cycles in the month of July=16000

Production of cycles in the month ofAugust=8000

Production of cycles in the month of September =10000

Production of cycles in the month of October = 12000

Production of cycles in the month of November

=14000

Total production of cycles=

14000+16000+8000+10000+12000+14000

=74000

Total angle in the circle =360°

Total production =total angle

=>360°=74000

=>1°=74000/360

=>1°=205.55 or

1 cycle=360/74000=0.00486

now

The degrees are as follows will be shown in the pie diagram are

1)14000=14000×0.00486=67°(approximately)

2)16000=16000×0.00486=77°

3)8000=8000×0.00486=39°

4)10000=10000×0.00486=48°

5)12000=12000×0.00486=58°

6)14000=14000×0.00486=67°