15-35/7 x 2+3x4 10+2(9 - 5) - 16/8= how would i show my steps in evaluating each of these expressions

The rule of BODMAS needs to be applied to solve the two questions. The steps would be in the order of (1) solving bracket (2) orders, i.e. powers or roots (3) division and multiplication (4) addition and subtraction, from left to right

Part A

15-35/7 x 2+3x4  

Step 1: Check for brackets. Since there is no bracket, we will start with the division and multiplication operation. Both these operations are at the same rank, and hence we just solve from left to right

15 - 35 ÷ 7 × 2 + 3 × 4 = 15 - 5 × 2 + 3 × 4 = 15 - 10 + 12

Step 2: Now that we have solved the multiplication and division part, we will conduct the addition and subtraction operation. Both these operations rank equally and we need to just solve from left to right

15 - 10 + 12 = 5 + 12 = 17

Hence, the answer to part A is 17.

Part B

10+2(9 - 5) - 16/8=

Step 1: Check for brackets. Since a bracket is there, we will solve the bracket first

10 + 2 × (9 - 5) - 16 ÷ 8 = 10 + 2 × 4 - 16 ÷ 8

[Note: A number followed by a bracket means that the number is being multiplied with the expression in the bracket]

Step 2: Now that we have simplified the bracket, we will conduct the division and multiplication operation. As stated above, since both these operations rank equally we will solve them from left to right

10 + 2 × 4 - 16 ÷ 8 = 10 + 8 - 16 ÷ 8 = 10 + 8 - 2

Step 3: Now that we have performed the division and multiplication operations, we will perform addition and subtraction. As stated above, since both these operations rank equally we will solve them from left to right

10 + 8 - 2 =  18 - 2 = 16

Hence, the answer to part A is 16.

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