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How Do You Write a Whole Number Given in Expanded Form in Standard Form and in Words?

Write 30,000+7,000+800+3 in standard form and in words.

Summary

  1. Our number is starting out in expanded form
  2. Standard form is the way we usually see numbers written
  3. We can use place value to help us switch between expanded and standard form
  4. Place value tells us the value of a digit in a number
  5. Take the first digit from each number in expanded form and put it in its matching blank for standard form
  6. The ones, tens, and hundreds places make up the ones period
  7. The thousands, ten-thousands, and hundred-thousands places make up the thousands period
  8. To put the number into words, read from left to right, using the digits and place values as a guide

Notes

    1. Expanded form looks like a big addition problem
    1. Place value tells us the value of a digit in a number
    1. 30,000 has the most places, so it's our largest number
    2. Since 30,000 has 5 places, our number will have 5 places
    1. The place to the left of the ones place is the tens place
    2. As we move left, we have the hundreds place, the thousands place, and the ten-thousands place
    1. Notice how each number being added together has zeros everywhere except its largest place
    2. All we need to do is figure out which place each non-zero number is in and fill in the blanks!
    1. 30,000 has a 3 in the ten-thousands place, so we have 3 ten-thousands
    1. 7,000 has a 7 in the thousands place, so we have 7 thousands
    1. 800 has an 8 in the hundreds place, so we have 8 hundreds
    1. 3 is the same as 3 ones
    1. Put a 0 as a placeholder when you have a place with no digit
    1. In numbers, commas separate groups of 3 numbers, called 'periods'
    2. A period is made up of 3 places, starting with the ones place and moving left
    3. Periods are named after their smallest place
    4. So the ones, tens and hundreds places make up the 'ones period'
    5. The thousands, ten-thousands and hundred-thousands make up the 'thousands period'
    1. Using place value, we now have our number in standard form
    1. 30,000 + 7,000 + 800 + 3 = 37,803
    1. We can also use place value to put a number into words
    1. 'Periods' are groups of 3 places, starting with the ones place and moving left
    2. We use commas to separate the periods
    3. This makes our number a little bit easier to read!
    1. The ones, tens and hundreds places are a period
    1. A period is made up of 3 places, starting with the ones place and moving left
    2. Periods are named after their smallest place, which is why this one is called the 'thousands period'
    1. Start with the leftmost period and move right, just like reading a book
    2. 37 is in the thousands period
    1. 37 is in the thousands period
    2. So we say 'thirty-seven thousand'
    1. The next period is the ones period
    2. 803 is in the ones period
    3. Read from left to right, using the digits and place values as a guide
    4. 8 is in the hundreds place, so we say 'eight hundred'
    5. There's a 0 in the tens place, so we skip over that
    6. 3 is in the ones place, so we just say 'three'
    1. Put a comma to separate the periods