Understanding numbers can be difficult. It’s important to be able to break down larger numbers into their component parts in order to make them easier to understand. One way of doing this is to convert the number into its expanded form. To convert 506709 into expanded form, it’s necessary to break down the number into its component parts.
Understanding Place Values
Place values are the numerical values ascribed to each digit in a number. For example, in the number 506709, the 7 is in the one’s place, the 9 is in the ten’s place, the 0 is in the hundred’s place, the 6 is in the thousand’s place, and the 5 is in the ten-thousand’s place. To convert a number into its expanded form, you must identify the place value of each of its digits and then multiply each digit by its respective place value.
Calculating the Expansion
In the example of 506709, the 7 is in the one’s place and therefore is multiplied by 1. The 9 is in the ten’s place and is multiplied by 10. The 0 is in the hundred’s place and is multiplied by 100. The 6 is in the thousand’s place and is multiplied by 1000. The 5 is in the ten-thousand’s place and is multiplied by 10000. When these numbers are added together, the result is the expanded form of the number: 50000 + 6000 + 700 + 9 = 506709.
Other Methods of Expansion
There are other ways of converting a number into its expanded form, such as visualizing it as a number line. To do this, you would draw a line and mark off the place values of each digit in the number. For example, in the number 506709, the 7 would be marked off in the one’s place, the 9 in the ten’s place, the 0 in the hundred’s place, the 6 in the thousand’s place, and the 5 in the ten-thousand’s place. This visualization can help to make it easier to understand how the number is broken down into its component parts.
Converting a number into its expanded form can be a useful exercise for understanding place values and for visualizing the individual components of a larger number. In the example of 506709, the number is broken down into its component parts and multiplied by their respective place values to give the expanded form of 50000 + 6000 + 700 + 9 = 506709.
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