The image you uploaded is a PEMDAS poster, which outlines the order of operations in mathematics. PEMDAS stands for:
1.
Parentheses (and other grouping symbols)
2.
Exponents
3.
Multiplication and
Division (from left to right)
4.
Addition and
Subtraction (from left to right)
Explanation of PEMDAS:
-
Parentheses/Grouping Symbols: Solve anything inside parentheses or other grouping symbols first.
-
Exponents: Next, calculate any exponents.
-
Multiplication and Division: Perform multiplication and division from left to right.
-
Addition and Subtraction: Finally, perform addition and subtraction from left to right.
How to Use PEMDAS:
When solving a mathematical expression, follow these steps in order to ensure the correct result. Here’s an example to illustrate how PEMDAS works:
#### Example Problem:
Evaluate the expression:
$$ 3 + 6 \times (5 + 4) ÷ 3 - 7 $$
#### Step-by-Step Solution:
1.
Parentheses: Solve the expression inside the parentheses first.
$$
5 + 4 = 9
$$
So the expression becomes:
$$
3 + 6 \times 9 ÷ 3 - 7
$$
2.
Exponents: There are no exponents in this expression, so we move on.
3.
Multiplication and Division: Perform multiplication and division from left to right.
- First, calculate $ 6 \times 9 $:
$$
6 \times 9 = 54
$$
The expression now is:
$$
3 + 54 ÷ 3 - 7
$$
- Next, calculate $ 54 ÷ 3 $:
$$
54 ÷ 3 = 18
$$
The expression now is:
$$
3 + 18 - 7
$$
4.
Addition and Subtraction: Perform addition and subtraction from left to right.
- First, calculate $ 3 + 18 $:
$$
3 + 18 = 21
$$
The expression now is:
$$
21 - 7
$$
- Finally, calculate $ 21 - 7 $:
$$
21 - 7 = 14
$$
Final Answer:
$$
\boxed{14}
$$
Key Takeaways:
- Always follow the order of operations as outlined by PEMDAS.
- Remember to work from left to right for multiplication/division and addition/subtraction.
- Parentheses/grouping symbols take precedence over all other operations.
If you have a specific problem you'd like me to solve using PEMDAS, feel free to provide it!
Parent Tip: Review the logic above to help your child master the concept of pemdas poster print.
