Let's Break it Down
Every digit in every number you can think of has place value. A digit’s place value is based on where that digit appears in the number. Look at the place value table below.
| Hundred-Thousands (100,000) | Ten-Thousands (10,000) | Thousands (1,000) | Hundreds (100) | Tens (10) | Ones (1) | . | Tenths (0.1) | Hundredths (0.01) | Thousandths (0.001) |
|---|---|---|---|---|---|---|---|---|---|
| Whole Numbers | . | Decimals | |||||||
Notice that the whole numbers are to the left of the decimal point, while the decimal numbers are to the right of the decimal point.
Use the place value chart to name the value of each digit in the number 384,567.219.
The tabs below will show you how to use the place value chart to answer the question in the example. Read the information on each tab and answer the questions you find along the way.
Whole Number Place Value
Whole numbers are located to the left of the decimal point. Their place values are the ones, tens, hundreds, thousands, and so on.
Let’s write the whole number digits of 384,567.219 in the place value chart. Be sure to line up the decimal point in the number with the decimal point in the chart. For right now, we will look only at the digits to the left of the decimal point.
| Hundred-Thousands (100,000) | Ten-Thousands (10,000) | Thousands (1,000) | Hundreds (100) | Tens (10) | Ones (1) | . | Tenths (0.1) | Hundredths (0.01) | Thousandths (0.001) |
|---|---|---|---|---|---|---|---|---|---|
| 3 | 8 | 4 | 5 | 6 | 7 | . | |||
Examining each digit and its location in the place value chart,
The 3 is in the hundred-thousands place. This means its value is 3 × 100,000 = 300,000.
The 8 is in the ten-thousands
place. This means its value is 8 × 10,000 = 80,000.
The 4 is in the thousands place. This means its value is 4 × 1,000 = 4,000.
What are the values of the remaining digits, 5, 6, and 7?
The 5 is in the hundreds place. This means its value is 5 × 100 = 500.
The 6 is in the tens place. This means its value is 6 × 10 = 60.
The 7 is in the ones
place. This means its value is 1 × 7 = 7.
Decimal Number Place Value
The decimal places are found to the right of the decimal point.
The tenths is the first place to the right of the decimal point, followed by the hundredths, and then the thousandths place.
Let’s place the decimal number digits of 384,567.219 in the place value chart. On this slide we will consider only the decimals.
| Hundred-Thousands (100,000) | Ten-Thousands (10,000) | Thousands (1,000) | Hundreds (100) | Tens (10) | Ones (1) | . | Tenths (0.1) | Hundredths (0.01) | Thousandths (0.001) |
|---|---|---|---|---|---|---|---|---|---|
| . | 2 | 1 | 9 | ||||||
Examining each digit and its location in the place value chart,
The 2 is in the tenths place. Its value is 2 × 0.1 = 0.2.
The 1 is in the hundredths place. Its value is 1 ×
0.01 = 0.01.
What is the value of the 9?
The 9 is in the thousandths place. Its value is 9 × 0.001 = 0.009.
Give it a shot!
Time to practice what you have learned! One digit in each number below is highlighted. Name the place the digit is in and the value of that digit. When you are finished, check your work by clicking each section of the table.
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The 7 is in the ones place and has a value of 7 × 1 = 7. |
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The 8 is in the tenths place and has a value of 8 × 0.1 = 0.8. |
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The 4 is in the thousandths place and has a value of 4 × 0.001 = 0.004. |
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The 3 is in the ten-thousands place and has a value of 3 × 10,000 = 30,000. |
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The 5 is in the hundredths place and has a value of 5 × 0.01 = 0.05. |
