Determine the place value of the last digit

Oct 13, 2025 by talynt.org 28 views

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Introduction

Converting decimal measurements to fractions is an essential skill in various fields, including mathematics, engineering, and architecture. In this article, we will focus on converting the decimal measurement 0.875 inches to the nearest 1/16 of an inch. We will use a step-by-step approach to ensure accuracy and provide a clear understanding of the conversion process.

Understanding Decimal Measurements

Decimal measurements are represented using a decimal point, which separates the whole number from the fractional part. In the case of 0.875 inches, the whole number is 0, and the fractional part is 875. To convert this decimal measurement to a fraction, we need to understand the concept of place value.

Place Value

Place value refers to the value of each digit in a number based on its position. In the decimal measurement 0.875, the 8 is in the hundredths place, the 7 is in the thousandths place, and the 5 is in the ten-thousandths place.

Converting Decimal Measurements to Fractions

To convert a decimal measurement to a fraction, we need to follow these steps:

Determine the place value of the last digit: In the case of 0.875, the last digit is 5, which is in the ten-thousandths place.
Determine the denominator: The denominator is the number of units in the place value of the last digit. In this case, the denominator is 10,000.
Write the fraction: The fraction is written as the numerator (the number before the decimal point) over the denominator. In this case, the fraction is 875/10,000.

Simplifying Fractions

Fractions can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). In the case of 875/10,000, the GCD is 125.

Greatest Common Divisor (GCD)

The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder. In the case of 875 and 10,000, the GCD is 125.

Converting 0.875 to the Nearest 1/16 of an Inch

To convert 0.875 inches to the nearest 1/16 of an inch, we need to simplify the fraction 875/10,000.

Simplifying the Fraction

To simplify the fraction, we divide both the numerator and the denominator by their GCD, which is 125.

875 ÷ 125 = 7 10,000 ÷ 125 = 80

The simplified fraction is 7/80.

Converting 7/80 to the Nearest 1/16 of an Inch

To convert 7/80 to the nearest 1/16 of an inch, we need to convert the fraction to a decimal measurement and then round it to the nearest 1/16 of an inch.

Converting the Fraction to a Decimal Measurement

To convert the fraction 7/80 to a decimal measurement, we divide the numerator by the denominator.

7 ÷ 80 = 0.0875

Rounding the Decimal Measurement

To round the decimal measurement to the nearest 1/16 of an inch, we need to multiply it by 16 and then round it to the nearest whole number.

0.0875 × 16 = 1.4

Rounding 1.4 to the nearest whole number gives us 1.

Conclusion

In this article, we have learned how to convert the decimal measurement 0.875 inches to the nearest 1/16 of an inch. We have used a step-by-step approach to ensure accuracy and provide a clear understanding of the conversion process. We have also learned how to simplify fractions and convert them to decimal measurements.

Final Answer

The final answer is 1/16.

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Introduction

Converting decimal measurements to fractions is an essential skill in various fields, including mathematics, engineering, and architecture. In this article, we will answer some frequently asked questions related to converting decimal measurements to fractions.

Q&A

Q: What is the difference between a decimal measurement and a fraction?

A: A decimal measurement is a number that uses a decimal point to separate the whole number from the fractional part. A fraction, on the other hand, is a way of expressing a part of a whole as a ratio of two numbers.

Q: How do I convert a decimal measurement to a fraction?

A: To convert a decimal measurement to a fraction, you need to follow these steps:

Determine the place value of the last digit: In the case of 0.875, the last digit is 5, which is in the ten-thousandths place.
Determine the denominator: The denominator is the number of units in the place value of the last digit. In this case, the denominator is 10,000.
Write the fraction: The fraction is written as the numerator (the number before the decimal point) over the denominator. In this case, the fraction is 875/10,000.

Q: How do I simplify a fraction?

A: To simplify a fraction, you need to divide both the numerator and the denominator by their greatest common divisor (GCD). In the case of 875/10,000, the GCD is 125.

Q: What is the greatest common divisor (GCD)?

A: The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder. In the case of 875 and 10,000, the GCD is 125.

Q: How do I convert a fraction to a decimal measurement?

A: To convert a fraction to a decimal measurement, you need to divide the numerator by the denominator. In the case of 7/80, the decimal measurement is 0.0875.

Q: How do I round a decimal measurement to the nearest 1/16 of an inch?

A: To round a decimal measurement to the nearest 1/16 of an inch, you need to multiply it by 16 and then round it to the nearest whole number. In the case of 0.0875, the rounded measurement is 1.

Q: What is the final answer to the problem of converting 0.875 inches to the nearest 1/16 of an inch?

A: The final answer is 1/16.

Conclusion

In this article, we have answered some frequently asked questions related to converting decimal measurements to fractions. We have provided step-by-step instructions on how to convert a decimal measurement to a fraction, simplify a fraction, and convert a fraction to a decimal measurement. We have also provided examples to illustrate the concepts.

Final Answer

The final answer to the problem of converting 0.875 inches to the nearest 1/16 of an inch is 1/16.

Additional Resources

Converting Decimal Measurements to Fractions: A Step-by-Step Guide
Frequently Asked Questions: Converting Decimal Measurements to Fractions