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Answers
Answer:
1. 3- (5-6/3)
= 3-(5-2)
= 3-3
= 0
2. -25+14/(5-3)
= -25+14/2
= -25+7
= -18
3.25-1/2{5+4-(3+2-1+3)}
= 25 - 1/2 {5+4-1}
= 25- 1/2 + 8
= 25 - 8.5
= 16.5
4. 27-[38-{46-(15-13-2)}]
= 27-[38-{46-0}
= 27-[38-46]
=27-8
=19
5. 36-[18-{14-(15-4/2x2)
= 36-[18-{14-11}
= 36-[18-3]
= 36-15
= 21
6. 45-[38-{60/3-(6-9/3)/3}]
= 45-[38-{60/3-1/3}]
= 45-[38-6.3]
= 45-31.7
=13.3
7 . 23-[23-{23-(23-23-23)}]
= 23-[23-{23-23)}]
= 23-[23-0]
=23 - 23
= 0
8.2550-[510 - {270 - ( 90 - 80 + 70 )}]
= 2550-[510 - {270 - 80 }]
= 2550-[510 - 190]
= 2550- 320
= 2230
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Worksheet on simplification
- 3 - (5 - 6 ÷ 3)
- - 25 + 14 ÷ (5 - 3)
- 25 - 1/2{5 + 4 - (3 + 2 - 1 + 4)}
- 27 - [38 - {46 - (15 - 13 - 2)}]
- 36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]
- 45 - [38 - {60 ÷ 3 - (6 - 9 ÷ 3) ÷ 3}]
- 23 - [23 - {23 - (23 - 23 - 23)}]
- 2550 - [510 - {270 - (90 - 80 + 70)}]
BODMAS RULE :
- Bracket
- Of
- Division
- Multiplication
- Addition
- Substraction
It means that we need to firstly simplify the terms in bracket then for of
afree that the terms with division and so on as per given in the order.
1) 3 - (5 - 6 ÷ 3)
We need to apply as it is given in application so solving for bracket first
- 3 - (5 - 6 ÷ 3)
- 3 - (5 - 2)
- 3 - 3
- 0
Hence, 0 is the answer
2) - 25 + 14 ÷ (5 - 3)
- - 25 + 14 ÷ (5 - 3)
Solving for bracket first then division and atlast substraction
- - 25 + 14 ÷ 2
- - 25 + 7
- - 18
Hence, the answer is - 18
3) 25 - 1/2{5 + 4 - (3 + 2 - 1 + 4)}
Here, we will first solve the terms in first bracket () then in the second bracket {} and then 3rd bracket []
- 25 - 1/2{5 + 4 - (5 - 3)}
- 25 - 1/2{5 + 4 - 2}
- 25 - 1/2{9 - 2}
- 25 - 1/2 × 7
- 25 - 7/2
- 43/2
- 21.5
Hence, the answer is21.5
4) 27 - [38 - {46 - (15 - 13 - 2)}]
Here again the same process we will apply
- 27 - [38 - {46 - (15 - 15)}]
- 27 - [38 - {46 - (15 - 13 - 2)}]
- 27 - [38 - {46 - 0}]
- 27 - [38 - 46]
- 27 - [- 8]
We know that : (-) × (-) = +
So -[- 8] will be + 8
- 27 + 8
- 35
The answer is 35
5) 36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]
In this case the first bracket and then will multiply and then the same way we will solve which we are doing in all the sums
- 36 -[18 - {14 - (15 - 2 × 2)}]
- 36 - [18 - {14 - (15 - 4)}]
- 36 - [18 - {14 - 11}]
- 36 - [18 - 3]
- 36 - 15
- 21
Hence, 21 is the answer
6) 45 - [38 - {60 ÷ 3 - (6 - 9 ÷ 3) ÷ 3}]
Here we will divide first then substract
- 45 - [38 - {60 ÷ 3 - (6 - 3) ÷ 3}]
- 45 - [38 - {60 ÷ 3 - 3 ÷ 3}]
- 45 - [38 - {20 - 1}]
- 45 - [38 - 19]
- 45 - 19
- 26
Hence, the answer is 26
7) 23 - [23 - {23 - (23 - 23 - 23)}]
- 23 - [23 - {23 - (23 - 46)}]
- 23 - [23 - {23 - (-23)}]
- 23 - [23 - {23 + 23}]
- 23 - [23 - 46}]
- 23 - [-23]
- 23 + 23
- 46
Hence, the answer is 46
8) 2550 - [510 - {270 - (90 - 80 + 70)}]
- 2550 - [510 - {270 - (90 - 150)}]
- 2550 - [510 - {270 - (- 60)}]
- 2550 - [510 - {270 + 60}]
- 2550 - [510 - 330]
- 2550 - 180
- 2370
The answer is 2370
- (-) × (-) = (+)
- (+) × (+) = (+)
- (-) × (+) = (-)