Answer:
To write a number in expanded form, you break it down by the place value of each digit. Here's how to do it:
Identify the place values: Each digit in a number holds a value based on its position. These values are typically tens, hundreds, thousands, ten thousands, hundred thousands, millions, and so on.
Separate the digits: Imagine the number dissected by its place values. For example, the number 4,321 can be separated as follows:
4,000 (Thousands place)
300 (Hundreds place)
20 (Tens place)
1 (Ones place)
Combine with place value names: Write each digit multiplied by its corresponding place value (written out or abbreviated with exponents).
Add the terms: Finally, add all the terms representing each place value to get the expanded form.
Here's the expanded form of 4,321:
4,321 = 4,000 (thousands) + 300 (hundreds) + 20 (tens) + 1 (ones)
Here are some additional points to consider:
For numbers with decimals, you can follow the same process for the digits before the decimal point. Then, consider each decimal place (tenths, hundredths, thousandths, etc.) and express them similarly.
Leading zeros also have a place value and should be included in the expanded form (e.g., 0.007 = 0 (tenths) + 0 (hundredths) + 7 (thousandths).
I hope this explanation helps!
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Answer^^
Numbers are made up of digits, but there is often more to those digits than appears. Every digit in a number has a value. In expanded form, each digit is separated to show its place value. Each value is joined by a plus sign to form an expression. To expand means to stretch out, or to give greater detail. When numbers are shown in expanded form, that is exactly what happens.
n a number is shown on a place value chart, the headings help identify the value of the digit in its column. To write a number in expanded form, the value of each digit is taken separately. The following example shows how to find the expanded form of 63.
The value of each digit is shown on the place value chart
63 on a place value chart
The 6 is in the tens place, so it actually means 60 because that is the value of 6 tens- 10, 20, 30, 40, 50, 60.
The 4 is in the ones place, and it means 4 because that is the value of 4 ones- 1, 2, 3, 4.
In expanded form, 64 is represented as 60 + 4.
Any numbers can be expressed in expanded form, including decimal numbers. This place value chart shows decimal values. Decimal values get smaller and smaller as the places go to the right.
Place value charts can extend into decimal values
place value chart with tens, ones, a decimal point, tenths, hundredths, thousandths
Example
How do you write 12345 in expanded form? In the number 12,345, 1 has a value of 10,000, 2 has a value of 2,000, 3 has a value of 300, 4 has a value of 40, and 5 has a value of 5. In expanded form, 12,345 is written as 10,000 + 2,000 + 300 + 40 + 5.
