Question

Write an expression that includes all four operations and at least 3 positive and 3 negative numbers. Evaluate your expression. Remember to apply the order of operations!

Answer 1

The expression (-4) × 2 + 5 - (-3) + 7 / (-1) - 6 / 3 evaluates to -9 using the order of operations.

Step-by-step explanation:

To create an expression that includes all four operations (addition, subtraction, multiplication, and division) and at least 3 positive and 3 negative numbers, we can construct the following expression:

(-4) × 2 + 5 - (-3) + 7 / (-1) - 6 / 3

Now, let's evaluate this expression step-by-step by applying the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

1. Multiplication/Division: Calculate (-4) × 2 = -8, 7 / (-1) = -7, and 6 / 3 = 2.
2. Addition/Subtraction: Reduce the expression step-by-step:

-8 + 5 is -3 (since we are adding a positive number to a negative number).

-3 - (-3) is 0 (since subtracting a negative is the same as adding the positive equivalent).

0 + (-7) is -7 (adding a negative number).

-7 - 2 is -9 (subtracting a positive number from a negative number).

The expression evaluates to -9.

Remember to check that the answer is reasonable and eliminate terms wherever possible to simplify the algebra.