The image shows a
Place Value Chart designed to help students understand and work with numbers ranging from the millions place to the millionths place. This chart is part of a worksheet set titled "Superstar Worksheets." Below, I will explain how to use this chart and solve problems related to place value.
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Understanding the Place Value Chart
The chart is divided into two main sections:
1.
Whole Number Section: From left to right, it includes columns for Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.
2.
Decimal Section: After the decimal point, it includes columns for Tenths, Hundredths, Thousandths, Ten Thousandths, Hundred Thousandths, and Millionths.
Each column is labeled with both its full name (e.g., "Millions") and its abbreviation (e.g., "M"). The chart also includes a placeholder for the decimal point.
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How to Use the Chart
To use the chart, you write a number in the appropriate columns based on its place value. For example:
- If the number is
3,456,789.123456, you would fill in the chart as follows:
- Millions: 3
- Hundred Thousands: 4
- Ten Thousands: 5
- Thousands: 6
- Hundreds: 7
- Tens: 8
- Ones: 9
- Decimal Point: .
- Tenths: 1
- Hundredths: 2
- Thousandths: 3
- Ten Thousandths: 4
- Hundred Thousandths: 5
- Millionths: 6
This helps visualize the value of each digit in the number.
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Example Problem
Suppose you are given the number
5,023,478.965 and asked to:
1. Identify the value of each digit.
2. Write the number in expanded form.
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Step 1: Identify the Value of Each Digit
Using the place value chart:
-
5 is in the Millions place, so its value is \(5 \times 1,000,000 = 5,000,000\).
-
0 is in the Hundred Thousands place, so its value is \(0 \times 100,000 = 0\).
-
2 is in the Ten Thousands place, so its value is \(2 \times 10,000 = 20,000\).
-
3 is in the Thousands place, so its value is \(3 \times 1,000 = 3,000\).
-
4 is in the Hundreds place, so its value is \(4 \times 100 = 400\).
-
7 is in the Tens place, so its value is \(7 \times 10 = 70\).
-
8 is in the Ones place, so its value is \(8 \times 1 = 8\).
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9 is in the Tenths place, so its value is \(9 \times 0.1 = 0.9\).
-
6 is in the Hundredths place, so its value is \(6 \times 0.01 = 0.06\).
-
5 is in the Thousandths place, so its value is \(5 \times 0.001 = 0.005\).
####
Step 2: Write the Number in Expanded Form
The expanded form of the number is the sum of the values of each digit:
\[
5,000,000 + 0 + 20,000 + 3,000 + 400 + 70 + 8 + 0.9 + 0.06 + 0.005
\]
So, the expanded form is:
\[
5,000,000 + 20,000 + 3,000 + 400 + 70 + 8 + 0.9 + 0.06 + 0.005
\]
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Final Answer
The expanded form of the number
5,023,478.965 is:
\[
\boxed{5,000,000 + 20,000 + 3,000 + 400 + 70 + 8 + 0.9 + 0.06 + 0.005}
\]
This method can be applied to any number using the place value chart.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet through ten.
