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What is Place Value?

What is place value?

Summary

  1. Place value is used to help us organize numbers and understand their value
  2. Digits have different values depending on where they are in a number
  3. The decimal point is the period between 3 and 4
  4. We can get more and more place values as we move to the left
  5. Notice how the names to the right of the decimal point all end in 'th'
  6. This is how we tell them apart from the places to the left of the decimal!
  7. Just like on the left, we'll get more and more places as we move to the right

Notes

    1. We use place value to help us organize numbers and understand their value
    2. The digit 5 is in the 'hundreds place' of the number 500
    1. Digits have different values depending on where they are in a number
    2. We use place value to determine the value of a digit
    1. This number has a decimal that ends: a terminating decimal
    1. 'Million', 'thousand', 'hundred', and 'ten-thousandths' indicate place values
    1. These place values tell us how much each digit is actually worth in a number!
    1. The place just to the left of the decimal point is the 'ones place'
    2. The decimal point is the period between 3 and 4
    3. If we just had the number 3 by itself, we would have 3 ones
    4. But since it's in the ones place in our larger number, it's worth 3 ones there too!
    1. Notice that 10 has TWO digits: 1 and 0
    2. So the tens place is the place TWO to the left of the decimal
    3. The digit of 4 that is just to the left of 3 is in the 'tens place'
    1. Putting a 0 after 10 gives us 100, which tells us what the next place value to the left will be
    1. Since 1,000 has 4 digits, the 'thousands place' is 4 places to the left of the decimal
    2. Since 10,000 has 5 digits, the 'ten-thousands place' is 5 places to the left of the decimal
    3. Since 100,000 has 6 digits, the 'hundred-thousands place' is 6 places to the left of the decimal
    4. Since 1,000,000 has 7 digits, the 'millions place' is 7 places to the left of the decimal
    1. The same pattern continues as you continue to the left!
    1. The decimal point is the period between 3 and 4
    1. The digit just to the right of the decimal point can be written as that digit over 10
    1. As we move to the right, we add zeros to the denominator of the fraction
    2. The new denominator tells us the name of the new place!
    3. .04 = 4/100 = 4 hundredths
    1. As we add more places to the right, we add more zeros to the denominator of the fraction
    2. 0.004 is the same as 4/1000, so we call this the 'thousandths' place
    3. 0.0004 is the same as 4/10,000, so we call this the 'ten-thousandths' place
    1. The 'th' means that place is to the right of the decimal point
    2. This is very important to remember!
    1. The 'th' means that place is to the right of the decimal point
    2. 5 hundred dollars and 5 hundredths of a dollar are very different amounts
    3. Be sure to use the 'th' correctly!