Question

Simplify the following (1 to 5):1. 7-8 ÷ (-2) + 3 × (-4).2. 9-{7-24÷(8+6×2-16)}3. -11-[-6-{3-5(8÷4-1)}]4. (-3)×(-12)÷(-4)+3×65. 14÷(3 of 2-3+4)-9(5-3)PLEASE ANSWER STEP BY STEP​

Answer 1

The solutions to the given problems using the BIDMAS rule are: -1, 8, -3, 9, -16.

Step-by-step explanation:

Here are the step-by-step solutions to your questions:

1. In Mathematics, we follow the order of operations represented by BIDMAS—Bracket, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right). Let's apply this rule to simplify each expression.
2. Problem 1: 7 - 8 ÷ (-2) + 3 × (-4)
   We first do the division and multiplication: 7 - (-4) + (-12) = 7+4-12= -1.
3. Problem 2: 9 - {7 - 24 ÷ (8 + 6 × 2 - 16)}
   We solve from the innermost bracket first:9-{7-24÷(8+12-16)}=9-{7-24÷4}=9-{7-6}=9-1=8.
4. Problem 3: -11 - [-6-{3-5(8÷4-1)}]
   Solve from the innermost bracket:-11-[-6-{3-5(2-1)}]=-11-[-6-{3-5}]=-11-[-6-2]=-11+8=-3.
5. Problem 4: (-3) × (-12) ÷ (-4) + 3 × 6
   First we multiply and divide from left to right then add: 36 ÷ (-4) + 18 = -9 + 18 = 9.
6. Problem 5: 14 ÷ (3 of 2 - 3 + 4) - 9(5 - 3)
   Assuming '3 of 2' is a multiplication of 3 and 2, we have:14 ÷ (6 - 3 + 4) - 9(2)=14 ÷ 7 - 18 =2 - 18 = -16.

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