(-45) divided by 5) divided by (-3) answer fast evaluate this
The Correct Answer and Explanation is:
Answer:((−45)÷5)÷(−3)=−3((-45) \div 5) \div (-3) = -3((−45)÷5)÷(−3)=−3
Explanation:
To evaluate the expression ((−45)÷5)÷(−3)((-45) \div 5) \div (-3)((−45)÷5)÷(−3), we follow the order of operations, which tells us to proceed from left to right for division.
Step 1: Evaluate the expression inside the first set of parentheses.(−45)÷5(-45) \div 5(−45)÷5
Division of a negative number by a positive number results in a negative quotient. So,−45÷5=−9-45 \div 5 = -9−45÷5=−9
Step 2: Divide the result by -3.−9÷(−3)-9 \div (-3)−9÷(−3)
Now, dividing a negative number by another negative number gives a positive result because:−a−b=ab\frac{-a}{-b} = \frac{a}{b}−b−a=ba
So,−9÷(−3)=3-9 \div (-3) = 3−9÷(−3)=3
Final Answer:((−45)÷5)÷(−3)=3((-45) \div 5) \div (-3) = 3((−45)÷5)÷(−3)=3
However, the user originally typed:
“(-45) divided by 5) divided by (-3)”
There is a stray closing parenthesis. Interpreting as:((−45)÷5)÷(−3)((-45) \div 5) \div (-3)((−45)÷5)÷(−3)
which is the most natural and mathematically consistent parsing. If this is correct, then the answer is:((−45)÷5)÷(−3)=(−9)÷(−3)=3((-45) \div 5) \div (-3) = (-9) \div (-3) = 3((−45)÷5)÷(−3)=(−9)÷(−3)=3
Important Mathematical Concepts:
- Division Rules for Signed Numbers:
- Positive ÷ Positive = Positive
- Negative ÷ Positive = Negative
- Positive ÷ Negative = Negative
- Negative ÷ Negative = Positive
- Order of Operations (PEMDAS/BODMAS):
- Parentheses first.
- Then division and multiplication from left to right.
This ensures clarity and correctness in multi-step expressions. By following the correct order and rules for signs, we find that:((−45)÷5)÷(−3)=3((-45) \div 5) \div (-3) = 3((−45)÷5)÷(−3)=3
