Calculate: $16 \div 6$

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is denoted by the symbol ÷ and is used to find the quotient of two numbers. In this article, we will focus on calculating the result of the division operation $16 \div 6$.

What is Division?

Division is a mathematical operation that involves finding the quotient of two numbers. It is the inverse operation of multiplication, meaning that if we know the product of two numbers, we can find the quotient by dividing the product by one of the numbers. Division is used to find the number of groups or parts that can be made from a certain quantity.

Types of Division

There are two types of division: long division and short division. Long division is a method of dividing a number by another number, where the dividend is divided into a certain number of parts or groups. Short division, on the other hand, is a method of dividing a number by another number, where the dividend is divided into a smaller number of parts or groups.

Calculating $16 \div 6$

To calculate the result of the division operation $16 \div 6$, we need to follow the order of operations (PEMDAS). The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression.

Step 1: Write the Division Operation

The first step in calculating the result of the division operation $16 \div 6$ is to write the operation in the correct format. The division operation is written as:

$$16 \div 6$$

Step 2: Divide the Numbers

The next step is to divide the numbers. To do this, we need to find the quotient of 16 and 6. We can do this by dividing 16 by 6.

Step 3: Find the Quotient

To find the quotient, we need to divide 16 by 6. We can do this by using a calculator or by performing the division operation manually.

Manual Division

To perform the division operation manually, we need to divide 16 by 6. We can do this by using the following steps:

1. Divide 16 by 6: 16 ÷ 6 = 2
2. Multiply the quotient by the divisor: 2 × 6 = 12
3. Subtract the product from the dividend: 16 - 12 = 4
4. Bring down the next digit: 4
5. Divide the new dividend by the divisor: 4 ÷ 6 = 0
6. Multiply the quotient by the divisor: 0 × 6 = 0
7. Subtract the product from the dividend: 4 - 0 = 4

Using a Calculator

To use a calculator to find the quotient, we need to enter the division operation into the calculator. We can do this by following these steps:

1. Enter the dividend: 16
2. Enter the divisor: 6
3. Press the ÷ button
4. Press the = button

Result

The result of the division operation $16 \div 6$ is 2.66667.

Conclusion

In this article, we have discussed the concept of division and how to calculate the result of the division operation $16 \div 6$. We have also discussed the types of division and how to perform the division operation manually and using a calculator. We have found that the result of the division operation $16 \div 6$ is 2.66667.

Real-World Applications

Division is used in many real-world applications, including:

• Cooking: Division is used to measure ingredients and to divide a recipe into equal parts.
• Shopping: Division is used to calculate the cost of an item and to divide the cost by the number of people.
• Science: Division is used to calculate the volume of a container and to divide the volume by the number of particles.

Practice Problems

To practice your division skills, try the following problems:

• $24 \div 8$
• $36 \div 9$
• $48 \div 12$

Answer Key

• $24 \div 8 = 3$
• $36 \div 9 = 4$
• $48 \div 12 = 4$

References

• "Mathematics for Dummies" by Mark Ryan
• "The Joy of Mathematics" by Alfred S. Posamentier
• "Mathematics: A Very Short Introduction" by Timothy Gowers
  Frequently Asked Questions: Division =====================================

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is denoted by the symbol ÷ and is used to find the quotient of two numbers. In this article, we will answer some of the most frequently asked questions about division.

Q: What is the difference between division and multiplication?

A: Division and multiplication are inverse operations. Division is the process of finding the quotient of two numbers, while multiplication is the process of finding the product of two numbers. For example, if we know that 6 × 3 = 18, we can find the quotient by dividing 18 by 6, which gives us 3.

Q: How do I divide a number by a decimal?

A: To divide a number by a decimal, you need to follow the same steps as dividing a number by an integer. However, you need to be careful when dividing by a decimal, as the result may be a repeating decimal. For example, if you want to divide 10 by 0.5, you can multiply 10 by 2 to get 20, and then divide 20 by 0.5 to get 40.

Q: Can I divide a number by zero?

A: No, you cannot divide a number by zero. Division by zero is undefined, and it is not possible to divide a number by zero. This is because division is the inverse operation of multiplication, and multiplying a number by zero results in zero.

Q: How do I divide a number by a negative number?

A: To divide a number by a negative number, you need to follow the same steps as dividing a number by a positive number. However, you need to be careful when dividing by a negative number, as the result may be negative. For example, if you want to divide 10 by -2, you can multiply 10 by -1 to get -10, and then divide -10 by 2 to get -5.

Q: Can I divide a fraction by a fraction?

A: Yes, you can divide a fraction by a fraction. To do this, you need to invert the second fraction and multiply it by the first fraction. For example, if you want to divide 1/2 by 3/4, you can invert the second fraction to get 4/3, and then multiply it by the first fraction to get 4/3 × 1/2 = 2/3.

Q: How do I divide a mixed number by a whole number?

A: To divide a mixed number by a whole number, you need to convert the mixed number to an improper fraction and then divide it by the whole number. For example, if you want to divide 2 1/2 by 3, you can convert the mixed number to an improper fraction to get 5/2, and then divide it by 3 to get 5/2 ÷ 3 = 5/6.

Q: Can I divide a decimal by a fraction?

A: Yes, you can divide a decimal by a fraction. To do this, you need to convert the decimal to a fraction and then divide it by the fraction. For example, if you want to divide 0.5 by 1/2, you can convert the decimal to a fraction to get 1/2, and then divide it by the fraction to get 1/2 ÷ 1/2 = 1.

Q: How do I divide a number by a percentage?

A: To divide a number by a percentage, you need to convert the percentage to a decimal and then divide the number by the decimal. For example, if you want to divide 100 by 25%, you can convert the percentage to a decimal to get 0.25, and then divide the number by the decimal to get 100 ÷ 0.25 = 400.

Conclusion

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is denoted by the symbol ÷ and is used to find the quotient of two numbers. In this article, we have answered some of the most frequently asked questions about division, including how to divide a number by a decimal, a negative number, a fraction, and a percentage. We hope that this article has been helpful in understanding the concept of division and how to apply it in different situations.