Use division instead of the images to divide 18 by 4. What is the quotient of the division? What is the remainder?
The Correct Answer and Explanation is :
To divide 18 by 4, we can follow the steps of long division or simply perform the calculation directly.
- Divide 18 by 4:
- First, we see how many times 4 fits into 18.
- Since 4 times 4 equals 16, we can fit 4 into 18 a total of 4 times.
- Calculate the quotient:
- The quotient of 18 divided by 4 is 4, because 4 × 4 = 16.
- Find the remainder:
- Now, we subtract the product from the original number: 18 – 16 = 2.
- Thus, the remainder of this division is 2.
So, the final answer is:
- Quotient: 4
- Remainder: 2
Explanation of Division
Division is one of the four fundamental arithmetic operations and is essentially the process of determining how many times one number (the divisor) can fit into another number (the dividend). In our case, we are dividing 18 (the dividend) by 4 (the divisor). The quotient we obtain (4) tells us that 4 can fit into 18 four times before we exceed it.
The concept of remainders is also crucial in division. When the dividend does not divide evenly by the divisor, the amount left over after performing the division is called the remainder. In this instance, after multiplying the divisor (4) by the quotient (4), we get 16. This leaves us with 2, which indicates that there is an excess that does not fit into the quotient.
Remainders can also provide important information in various mathematical contexts, such as modular arithmetic, where they signify congruence classes, and in real-world applications like distributing items where some may not fit evenly into groups. Understanding how to calculate both the quotient and the remainder is fundamental in mathematics and has practical implications in everyday problem-solving.