3) Simplify:- (i) (45 x 2) ÷ [ 28 – { 14 + 9 } ] (ii) 72 ÷ [ 23 – { 4 + ( 3 x 5 ) }] (iii) 102 + 13 × 8 + 125 ÷ 5 × 10 (iv) 57 ÷ [ { ( 10 + 5) - 3 × 2 } + 10 ]

1. 30

2. 18

3. 460

4. 3

Step-by-step explanation:

According to the hierarchy of operations, we first need to solve {},[] or () (starting by the inner ones). Then the multiplications and divisions and lastly we will add and subtract. Therefore we have:

(i) (45 x 2) ÷ [ 28 – { 14 + 9 } ]

(90) ÷ [ 28 – { 14 + 9 } ] solved the ()

(90) ÷ [ 28 – { 25 } ]  solved the {}

(90) ÷ [ 3 ] solved the  []

30.      

ii) 72 ÷ [ 23 – { 4 + ( 3 x 5 ) }]

72 ÷ [ 23 – { 4 + ( 15 ) }]  solved the ()

72 ÷ [ 23 – {19) ] solved the {}

72 ÷ 4 solved the []

18

(iii) 102 + 13 × 8 + 125 ÷ 5 × 10

102 + 104 + 25 x 10 Solved the first multiplication and division

102 +104 + 250 Solved the multiplication

460  

(iv) 57 ÷ [ { ( 10 + 5) - 3 × 2 } + 10 ]

57 ÷ [ { 15 - 3 × 2 } + 10 ] solved the inner ()

57 ÷ [ { 15 - 6 } + 10 ]  solved the multiplication

57 ÷ [ 9 + 10 ] solved the {}

57 ÷ 19 solved the []

3

what level of math? also i don't need to be paid if i can you.