How to Decod Decimal Numbers: Dive into Place Values
Decimals are more than just dots in numbers; they help us represent fractions and parts of a whole. To truly understand decimals, it's essential to grasp the concept of place values. Just as with whole numbers, every position in a decimal number has a specific value. Let's explore this further!
Place Values within Decimal Numbers
Example 1:
Decimal Number: \(2.345\)
To understand the place values:
– The digit \(2\) is in the ones place.
– The digit \(3\) is in the tenths place, representing \(3/10\) or \(0.3\).
– The digit \(4\) is in the hundredths place, representing \(4/100\) or \(0.04\).
– The digit \(5\) is in the thousandths place, representing \(5/1000\) or \(0.005\).
Detailed Answer:
Starting from the left of the decimal point, the place values are ones, tenths, hundredths, thousandths, and so on. So, \(2.345\) can be read as “two and three hundred forty-five thousandths.”
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Example 2:
Decimal Number: \(7.89\)
To understand the place values:
– The digit \(7\) is in the ones place.
– The digit \(8\) is in the tenths place, representing \(8/10\) or \(0.8\).
– The digit \(9\) is in the hundredths place, representing \(9/100\) or \(0.09\).
Detailed Answer:
The number \(7.89\) can be read as “seven and eighty-nine hundredths.”
Remember understanding the place values within decimal numbers is crucial for various mathematical operations, such as rounding, comparing, and performing arithmetic. With a solid grasp of place values, you’ll find working with decimals a breeze!
Practice Questions:
1. Identify the digit in the tenths place: \(4.56\)
2. What is the value of the digit in the hundredths place in \(3.72\)?
3. Which digit is in the thousandths place in \(0.913\)?
4. What is the value of the digit in the tenths place in \(5.48\)?
5. Identify the digit in the hundredths place: \(6.034\)
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Answers:
1. \(5\)
2. \(0.02\)
3. \(3\)
4. \(0.4\)
5. \(3\)
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