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P. 2
Petrol filled in tank on Monday = 40 liters
Petrol filled in tank on Tuesday = 50 liters
Driver spend money on petrol for Monday and Tuesday = 44 × 40 + 44 × 50
= 44 × (40+50)
= 44 × 90
= Rs. 3960
Thus, a taxi driver spent Rs. 3960 on petrol.
This is the principle of distributive property of multiplication over addition.
Eg.2) The school canteen charges Rs. 20 for lunch and Rs. 4 for milk for
each day. How much money do you spend in 5 days on these things?
Answer:
Cost of (lunch + milk) for one day = Rs (20 + 4)
Cost for 5 days = 5 × (20 + 4) = Rs. (5 × 24)
= Rs 120.
This is the principle of distributive property of multiplication over addition.
Patterns in whole numbers
We can arrange every number in some elementary shapes made up of dots.
The shapes we will consider as 1) a line 2) a rectangle 3) a square 4) a triangle.
Every number can be arranged as a line
The number 2 is shown as:
The number 3 is shown as:
Some numbers can be shown also as rectangles.
The number 6 can be shown as a rectangle ( 2 rows × 3 columns):
Some numbers can be shown also as squares.
The number 4 can be shown as a square (2 rows × 2 columns):
The number 9 can be shown as a square (3 rows × 3 columns):
Some numbers can be shown as triangles..
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