Place value

Whole numbers in expanded form review

CCSS Math: 4.NBT.A.2
Review writing whole numbers in expanded form, and try some practice problems.

Expanded form

Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.

Example

Let's write 7229\blueD7\purpleD2\greenD2\maroonD9 in expanded form.
ThousandsHundredsTensOnes
7\blueD72\purpleD22\greenD29\maroonD9
7229=7 thousands7229=\blueD{7}\text{ thousands} +2 hundreds++\,\purpleD{2}\text{ hundreds}+ 2 tens+9 ones\greenD{2}\text{ tens}+\maroonD9\text{ ones}
7229=7000+200+20+9\phantom{7229}=\blueD{7000}+\purpleD{200}+\greenD{20}+\maroonD9
72297229 in expanded form is 7000+200+20+9\blueD{7000}+\purpleD{200}+\greenD{20}+\maroonD9.
Want to learn more about expanded form? Check out this video.

Practice

Problem 1
What is 5,000+300+85{,}000+300+8 in standard form?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}

Explain
Want to try more problems like this? Check out this exercise.