Question

Answer The Question Given In The Attachment

Answer 1

$\overline{\underline{\boxed{ \sf GIVEN \darr}}}$

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)}]

$\overline{\underline{\boxed{ \sf APPLICATION \darr}}}$

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.

$\overline{\underline{\boxed{ \sf SOLUTION \darr}}}$

• 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}

1. 25 - 1/2 × 7

• 25 - 7/2

• 43/2

• 21.5

Hence, the Answer is 21.5

• 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

$\overline{\underline{\boxed{ \sf EXTRA \: INFORMATION \darr}}}$

• (-) × (-) = (+)

• (+) × (+) = (+)

• (-) × (+) = (-)

Answer 2

Answer:

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 is 21.5

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