on the order of operation, do I not put these answers as well as do the grouping? what about evaluate all powers before other operation?
multiply & divide in order from left to right.
add & subtract in order from left to right.
Are thses correct?
yes.
http://www.mathgoodies.com/lessons/vol7/order_operations.html
Yes, the order of operations is a set of rules that dictate the order in which mathematical operations should be performed in an equation to ensure consistent and accurate results. The commonly accepted order of operations is as follows:
1. Evaluate any expressions within parentheses or brackets first. This is often referred to as "performing grouping" because it involves simplifying or calculating the values within the parentheses or brackets.
2. Evaluate any exponents or powers next. This means performing calculations involving numbers raised to a power or using exponentiation.
3. Perform multiplication and division in order from left to right. This means that when faced with multiple multiplication or division operations in an equation, you should perform them one at a time, moving from left to right.
4. Finally, perform addition and subtraction in order from left to right. Similarly to multiplication and division, when faced with multiple addition or subtraction operations in an equation, prioritize them one at a time, moving from left to right.
So, to answer your question, your understanding is mostly correct:
- You should perform multiplication and division from left to right, meaning you tackle them as they appear in the equation in that order.
- Similarly, you should perform addition and subtraction from left to right.
However, you missed a crucial step: evaluating powers or exponents before other operations. Evaluating powers is an earlier step in the order of operations (step 2) and should be done before performing multiplication, division, addition, or subtraction.
Therefore, the corrected order of operations is:
1. Evaluate expressions within parentheses or brackets.
2. Evaluate any exponents or powers.
3. Perform multiplication and division from left to right.
4. Perform addition and subtraction from left to right.
Adhering to this order will ensure that the calculations are done correctly and consistently.