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Encapsulate
math
OPERATIONS ON LARGE NUMBERS

Addition Simplifications

TL L TTh Th H T O DMAS Rule
1 1 Division Multiplication Addition Subtraction
3 2 3 4 5 7 8 Addend
+ 2 3 5 5 5 0 0 Addend D M A S
5 5 9 0 0 7 8 Sum 240 – 15 ÷ 3 + 7 × 2 of 6
= 240 – 15 ÷ 3 + 7 × 12 (Doing 'of': 2 of 6 = 2 × 6)
= 240 – 5 + 7 × 12 (Dividing 15 ÷ 3)
Subtraction = 240 – 5 + 84 (Mulplying 7 × 12)
= 324 – 5 (Adding 240 + 84)
TL L TTh Th H T O = 319 (Subtracting 324 – 5)
11 12 BODMAS Rule: To simplify numerical expressions along
2 1 2 14 with brackets, we use BODMAS rule.
3 2 3 4 5 7 8 Minuend B O D M A S
– 2 3 5 5 5 0 0 Subtrahend Brackets
0 8 7 9 0 7 8 Difference 'Of'
Division
Multiplication
Multiplication Addition
Subtraction
TL L TTh Th H T O
4 5 2 1
× 1 2 10 + 2
9 0 4 2 4521 × 2 Estimation
4 5 2 1 0 4521 × 10
5 4 2 5 2 The operations (+, –, ×, ÷) of two numbers can be
estimated by rounding off the numbers suitably.
(i) 4,950 + 1,220 (ii) 2325 – 999
Division
Estimated sum Estimated difference
Quotient 5 0 0 0 2 0 0 0
Divisor Dividend + 1 0 0 0 – 1 0 0 0
Quotient × Divisor + Remainder = Dividend 6 0 0 0 1 0 0 0
3 7 5 4
23 8 6 3 4 2 (iii) 1,125 × 6 (iv) 5,500 ÷ 50
6 9
1 7 3 Estimated product Estimated quotient
1 6 1 1 0 0 0 6 0 0 0
1 2 4 × 1 0 ÷ 1 0 0
1 1 5
9 2 1 0 0 0 0 6 0
9 2
0 Remainder

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