Find the quotient.
2)36
The Correct Answer and Explanation is :
To find the quotient of the expression ( 2)36 ), we can interpret this as ( 36 \div 2 ).
Step-by-Step Solution
- Identify the Division Operation: The expression indicates that we want to divide ( 36 ) by ( 2 ). This is written mathematically as:
[
36 \div 2
] - Perform the Division: To divide ( 36 ) by ( 2 ), we can ask how many times ( 2 ) fits into ( 36 ). Alternatively, we can think of the operation as finding how many pairs of ( 2 ) can be formed from ( 36 ):
[
36 \div 2 = 18
] - Verification: To ensure our division is correct, we can multiply the quotient by the divisor:
[
2 \times 18 = 36
]
Since this returns us to our original number, ( 36 ), we can be confident that our division is accurate.
Understanding Division
Division is one of the four basic arithmetic operations, alongside addition, subtraction, and multiplication. It represents the process of determining how many times one number (the divisor) fits into another number (the dividend).
In this case, ( 2 ) is the divisor, and ( 36 ) is the dividend. The result of the division, ( 18 ), is called the quotient.
Real-Life Application: Understanding division is crucial in everyday life. For instance, if you have ( 36 ) pieces of candy and want to share them equally among ( 2 ) friends, you can use division to find out that each friend would receive ( 18 ) pieces.
In summary, the quotient of ( 36 ) divided by ( 2 ) is ( 18 ). This straightforward division illustrates a fundamental mathematical concept that has practical applications in various real-world scenarios.