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\\September 16, 2024 5:13 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Encapsulate
math
operations on large numbers

simplifications addition
Dmas rule tl l tth th H t o
Division Multiplication Addition Subtraction
1 1
3 2 3 4 5 7 8 Addend
D m a s Addend
240 – 15 ÷ 3 + 7 × 2 of 6 + 2 3 5 5 5 0 0
= 240 – 15 ÷ 3 + 7 × 12 (Doing 'of': 2 of 6 = 2 × 6) 5 5 9 0 0 7 8 Sum
= 240 – 5 + 7 × 12 (Dividing 15 ÷ 3)
= 240 – 5 + 84 (Mulplying 7 × 12) subtraction
= 324 – 5 (Adding 240 + 84)
= 319 (Subtracting 324 – 5) tl l tth th H t o
boDmas rule: To simplify numerical expressions along 11 12
with brackets, we use boDmas rule. 2 1 2 14
b o D m a s 3 2 3 4 5 7 8 Minuend
Brackets – 2 3 5 5 5 0 0 Subtrahend
'Of' 0 8 7 9 0 7 8 Difference
Division
Multiplication multiplication
Addition
Subtraction tl l tth th H t o
4 5 2 1
estimation
× 1 2 10 + 2
The operations (+, –, ×, ÷) of two numbers can be 9 0 4 2 4521 × 2
estimated by rounding off the numbers suitably. 4 5 2 1 0 4521 × 10
(i) 4,950 + 1,220 (ii) 2325 – 999 5 4 2 5 2
Estimated sum Estimated difference
5 0 0 0 2 0 0 0 Division
+ 1 0 0 0 – 1 0 0 0
6 0 0 0 1 0 0 0 Quotient
(iii) 1,125 × 6 (iv) 5,500 ÷ 50 Divisor Dividend
Estimated product Estimated quotient Quotient × Divisor + Remainder = Dividend
1 0 0 0 6 0 0 0 3 7 5 4
× 1 0 ÷ 1 0 0 23 8 6 3 4 2
6 9
1 0 0 0 0 6 0 1 7 3
1 6 1
average 1 2 4
1 1 5
Sum of quantities 9 2
Average = 9 2
Total number of quantities 0 Remainder

www
MAths connect
There are eight planets in our solar system. They are: Mercury, Venus, Earth,
Mars, Jupiter, Saturn, Uranus and Neptune. The Earth is the third planet
from the Sun and the only place that’s inhabited by living things. The land
area of the earth is 148326000 sq. km and water area is 361740000 sq. km.
What is the total area of the earth?

Mathematics-5 53