How to Decode Decimals: Unveiling the Value of Each Digit
Every digit in a decimal number has a specific value based on its position or place value. Understanding the value of each digit is crucial for various mathematical operations and real-world applications. Let’s explore how to determine the value of each digit in a decimal number.
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Digit’s Value within a Decimal Number
Example 1:
Decimal Number: \(6.341\)
To determine the value of each digit:
– The digit \(6\) is in the ones place. Its value is \(6 \times 1 = 6\).
– The digit \(3\) is in the tenths place. Its value is \(3 \times 0.1 = 0.3\).
– The digit \(4\) is in the hundredths place. Its value is \(4 \times 0.01 = 0.04\).
– The digit \(1\) is in the thousandths place. Its value is \(1 \times 0.001 = 0.001\).
Detailed Answer:
In the number \(6.341\), the value of the digit \(6\) is \(6\), the value of the digit \(3\) is \(0.3\), the value of the digit \(4\) is \(0.04\), and the value of the digit \(1\) is \(0.001\).
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Example 2:
Decimal Number: \(8.72\)
To determine the value of each digit:
– The digit \(8\) is in the ones place. Its value is \(8 \times 1 = 8\).
– The digit \(7\) is in the tenths place. Its value is \(7 \times 0.1 = 0.7\).
– The digit \(2\) is in the hundredths place. Its value is \(2 \times 0.01 = 0.02\).
Detailed Answer:
In the number \(8.72\), the value of the digit \(8\) is \(8\), the value of the digit \(7\) is \(0.7\), and the value of the digit \(2\) is \(0.02\).
Remember that recognizing the value of each digit in a decimal number is foundational for understanding the number’s overall value. This skill is essential for rounding, comparing, and performing arithmetic with decimals. Practice regularly to master this concept!
Practice Questions:
1. What is the value of the digit \(5\) in the number \(5.63\)?
2. Determine the value of the digit \(9\) in the number \(0.491\).
3. What is the value of the digit \(4\) in the number \(3.42\)?
4. Determine the value of the digit \(0\) in the number \(7.03\).
5. What is the value of the digit \(6\) in the number \(0.067\)?
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Answers:
1. \(5\)
2. \(0.09\)
3. \(0.4\)
4. \(0\)
5. \(0.06\)
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