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Place Value Worksheets

What are Place Values? The numbers that we come across all our lives will have no meaning without place values. When studying number systems, understanding the concept of place values is extremely crucial. It is important to remember that every digit in a number has a unique place value, which gives it a meaning. The value that we attach to a digit depends upon its position in a number. We can break a big number into small portions, that too with the use of place values. The smallest place value is units and it is followed by tens, hundreds, thousands, so on and so forth. These place values are for numbers on the left side of the decimal. The last number before a decimal sits on the unit's place. The numbers on the right side of the decimal have the place values starting with the tenth, hundredth, thousandth, so on and so forth. Consider a number 1233.354 | Left-side of the Decimal | 1st digit: 1 here represents one thousand | 2nd digit: 2 here represents two hundred | 3rd digit: 3 here represents three tens 4th digit: 3 here represents three units | Right-side of the Decimal | 1st digit: 3 here represents 3/10 | 2nd digit: 5 here represents 5/100 | 3rd digit: 4 here represents 4/1000 This is a skill that I feel is covered well on my site. If you know of anything I am missing, please let me know.

Why Is This Concept Important?

This is a fundamental aspect of math and students often find the concept abstract, at first. Recognizing the significance of each digit within a number helps you completely understand the meaning of the overall value. It gives each digit purpose and standing within the overall value itself. When students learn to process math operations, outside of the scope of their math facts, place value is significant. The concept of regrouping and borrowing is built entire upon understanding the concept of a digits value within an integer. As students learn more about the base-ten system, this is the starting point that will lead them towards all types of applications within it. The best way to approach this concept with students is to work with the good old ones and tens blocks. Once they have a concrete understanding, then you can put it on paper and help them see that each successive value to the left is ten times greater than the previous digit. It helps to demonstrate this concept to students by helping students learn to convert between standard and expanded form. They quickly learn that each value is ten times greater than the previous one. As your students transition to using decimal value, this makes it easy to explain because all the digits are ten times greater or lesser than one another, just in a different direction. This will pop up again as you move it to financial and scientific forms of notation. This concept will follow you well into high school and college for certain.