How to calculate expression (provide examples)
To calculate an expression, you need to follow the order of operations, which is also known as the "PEMDAS" rule.
1. Parentheses first: Perform all calculations inside parentheses.
2. Exponents (ie Powers and Square Roots, etc.)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Here are some examples:
1) 5 + 6 ÷ 2 x 4
First, we need to perform the division, so 6 ÷ 2 = 3.
Then, we need to multiply 3 x 4 = 12.
Finally, we add 5 to 12 to get the answer: 17.
2) (4 + 6) x 2 - 8
We need to start with the parentheses, solving 4 + 6 = 10.
Then, we multiply 10 x 2 = 20.
Finally, we subtract 8 from 20 to get the answer: 12.
3) 3² x 2 - 7
We start with the exponent, solving 3² = 9.
Then, we multiply 9 x 2 = 18.
Finally, we subtract 7 from 18 to get the answer: 11.
To calculate an expression, you can follow these steps:
1. Identify the operators and operands in the expression. Operators are the symbols that represent mathematical operations (such as +, -, *, /), and operands are the numbers or variables on which the operators act.
2. Determine the order of operations. The order of operations dictates the sequence in which the operations should be performed. The common order of operations is as follows:
a. Parentheses or brackets
b. Exponents or powers
c. Multiplication or division (from left to right)
d. Addition or subtraction (from left to right)
3. Apply the order of operations and calculate accordingly.
Let's look at some examples:
Example 1: Calculate 3 + 4 * 2
Solution:
Step 1: Identify the operators and operands: The operators are + and *, and the operands are 3, 4, and 2.
Step 2: Apply the order of operations: According to the order of operations, multiplication should be performed before addition.
Step 3: Calculate: 4 * 2 = 8, then add 3 to 8. The result is 11.
Example 2: Calculate (6 + 2) * 4 - 5
Solution:
Step 1: Identify the operators and operands: The operators are +, *, and -, and the operands are 6, 2, 4, and 5.
Step 2: Apply the order of operations: First, calculate what's inside the parentheses. Then perform multiplication, and finally subtraction.
Step 3: Calculate: (6 + 2) = 8, 8 * 4 = 32, and 32 - 5 = 27.
Note: Be careful to follow the order of operations correctly to get the accurate result.