Complete The Steps To Find $1.02 \div 0.06$.a. $1.02 =$ ____ Hundredths, \$0.06 =$[/tex\] ____ Hundredthsb. $102 \div 6 =$ ____c. $1.02 \div 0.06 =$ ____
Understanding Decimal Division
In mathematics, division is a fundamental operation that involves finding the quotient of two numbers. When dealing with decimal numbers, division can be a bit more complex, but with the right approach, it can be solved easily. In this article, we will guide you through the steps to find the solution to the division problem $1.02 \div 0.06$.
Step 1: Convert Decimal Numbers to Hundredths
To begin solving the division problem, we need to convert the decimal numbers to hundredths. This will make it easier to perform the division.
a. $1.02 =$ ____ hundredths
To convert 1.02 to hundredths, we need to multiply it by 100.
So, $1.02 = 102$ hundredths.
b. $0.06 =$ ____ hundredth
To convert 0.06 to hundredths, we need to multiply it by 100.
So, $0.06 = 6$ hundredth.
Step 2: Divide the Numbers
Now that we have converted the decimal numbers to hundredths, we can proceed to divide them.
c. $102 \div 6 =$ ____
To divide 102 by 6, we can use long division or simple division.
So, $102 \div 6 = 17$.
Step 3: Convert the Quotient to Decimal
Now that we have found the quotient, we need to convert it back to decimal form.
c. $1.02 \div 0.06 =$ ____
To convert 17 to decimal form, we can divide it by 100.
So, $1.02 \div 0.06 = 0.17$.
Conclusion
In this article, we have guided you through the steps to find the solution to the division problem $1.02 \div 0.06$. We have converted the decimal numbers to hundredths, divided the numbers, and finally converted the quotient back to decimal form. By following these steps, you can easily solve division problems with decimal numbers.
Tips and Tricks
- When dividing decimal numbers, it's essential to convert them to hundredths to make the division process easier.
- Use long division or simple division to find the quotient.
- Convert the quotient back to decimal form by dividing it by 100.
Practice Problems
Try solving the following division problems with decimal numbers:
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2.05 \div 0.05 =$ ____
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3.14 \div 0.07 =$ ____
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4.28 \div 0.09 =$ ____
Q: What is decimal division?
A: Decimal division is a type of division that involves dividing numbers with decimal points. It's an essential concept in mathematics that helps us solve problems involving money, measurements, and other real-world applications.
Q: Why do we need to convert decimal numbers to hundredths?
A: Converting decimal numbers to hundredths makes it easier to perform division. When we convert a decimal number to hundredths, we can multiply it by 100 to get rid of the decimal point. This makes the division process simpler and more manageable.
Q: How do I convert a decimal number to hundredths?
A: To convert a decimal number to hundredths, simply multiply it by 100. For example, to convert 1.02 to hundredths, we multiply it by 100:
Q: What is the difference between long division and simple division?
A: Long division is a more detailed and step-by-step process of dividing numbers, while simple division is a quicker and more straightforward method. Long division is often used when the divisor is a single-digit number, while simple division is used when the divisor is a multi-digit number.
Q: How do I divide a decimal number by a whole number?
A: To divide a decimal number by a whole number, simply divide the decimal number by the whole number. For example, to divide 1.02 by 6, we can use simple division:
Q: What is the quotient in decimal division?
A: The quotient in decimal division is the result of dividing one decimal number by another. It's the answer to the division problem.
Q: How do I convert the quotient back to decimal form?
A: To convert the quotient back to decimal form, simply divide it by 100. For example, to convert 17 to decimal form, we divide it by 100:
Q: What are some real-world applications of decimal division?
A: Decimal division has many real-world applications, including:
- Calculating discounts and sales tax
- Measuring ingredients for recipes
- Determining the cost of goods and services
- Solving problems involving money and finance
Q: How can I practice decimal division?
A: You can practice decimal division by solving problems involving decimal numbers. Try dividing decimal numbers by whole numbers, or dividing decimal numbers by other decimal numbers. You can also use online resources and practice tests to help you improve your skills.
Q: What are some common mistakes to avoid in decimal division?
A: Some common mistakes to avoid in decimal division include:
- Forgetting to convert decimal numbers to hundredths
- Not using the correct method of division (long division or simple division)
- Not converting the quotient back to decimal form
- Making errors when multiplying or dividing decimal numbers
By avoiding these common mistakes and practicing decimal division regularly, you can become more confident and proficient in solving division problems involving decimal numbers.