Solution: Step 1: Break down the expression. - Step 1.1: Perform the operation inside the parentheses. Calculate 9 - 3 to get 6. The expression becomes 42 - 2 times 6 + 3. - Step 1.2: Apply the multiplication. Multiply -2 by 6 to obtain -12. Now, the expression is 42 - 12 + 3. Step 2: Combine like terms. - Step 2.1: Execute the subtraction. Deduct 12 from 42 to get 30. The expression simplifies to 30 + 3. - Step 2.2: Perform the final addition. Add 30 and 3 together to reach the final answer, which is 33. Knowledge Notes: The problem-solving process involves simplifying a mathematical expression using the order of operations, also known as BIDMAS/BODMAS (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction). - Parentheses: Always start by simplifying the innermost parentheses or brackets. This can include performing addition, subtraction, multiplication, or division within the brackets. - Indices/Orders: Next, calculate any exponents or powers in the expression. - Division and Multiplication: These operations are on the same level of precedence and are performed from left to right. - Addition and Subtraction: Like division and multiplication, these are also performed from left to right and are the last operations to be carried out. In the given problem, we first deal with the parentheses by subtracting 3 from 9. Then, we multiply the result by -2, as multiplication comes before addition and subtraction in the order of operations. Finally, we perform the addition and subtraction from left to right to simplify the expression to a single number.

Simplify 42-2*(9-3)+3

The question asks you to simplify the given mathematical expression by applying the order of operations, also known as PEMDAS or BODMAS. This acronym stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). You are required to simplify the expression inside the parentheses first, then perform the multiplication or division before finally doing the addition or subtraction to obtain a single numerical value.

$42 - 2 \cdot \left(\right. 9 - 3 \left.\right) + 3$

Answer

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Solution:

Step 1: Break down the expression.

Step 1.1: Perform the operation inside the parentheses.
Calculate $9 - 3$ to get $6$. The expression becomes $42 - 2 \times 6 + 3$.
Step 1.2: Apply the multiplication.
Multiply $-2$ by $6$ to obtain $-12$. Now, the expression is $42 - 12 + 3$.

Step 2: Combine like terms.

Step 2.1: Execute the subtraction.
Deduct $12$ from $42$ to get $30$. The expression simplifies to $30 + 3$.
Step 2.2: Perform the final addition.
Add $30$ and $3$ together to reach the final answer, which is $33$.

Knowledge Notes:

The problem-solving process involves simplifying a mathematical expression using the order of operations, also known as BIDMAS/BODMAS (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction).

Parentheses: Always start by simplifying the innermost parentheses or brackets. This can include performing addition, subtraction, multiplication, or division within the brackets.
Indices/Orders: Next, calculate any exponents or powers in the expression.
Division and Multiplication: These operations are on the same level of precedence and are performed from left to right.
Addition and Subtraction: Like division and multiplication, these are also performed from left to right and are the last operations to be carried out.

In the given problem, we first deal with the parentheses by subtracting $3$ from $9$. Then, we multiply the result by $-2$, as multiplication comes before addition and subtraction in the order of operations. Finally, we perform the addition and subtraction from left to right to simplify the expression to a single number.