Intro to decimals

Decimals in expanded form review

Review writing decimals in expanded form, and try some practice problems.

Expanded form

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

Example

Let's write start color blueD, 3, end color blueD, point, start color purpleD, 4, end color purpleD, start color greenD, 0, end color greenD, start color maroonD, 5, end color maroonD in expanded form.
Ones.TenthsHundredthsThousandths
start color blueD, 3, end color blueD.start color purpleD, 4, end color purpleDstart color greenD, 0, end color greenDstart color maroonD, 5, end color maroonD
3, point, 405, equals, start color blueD, 3, end color blueD, space, o, n, e, s plus, space, start color purpleD, 4, end color purpleD, space, t, e, n, t, h, s, plus start color greenD, 0, end color greenD, space, h, u, n, d, r, e, d, t, h, s, plus, start color maroonD, 5, end color maroonD, space, t, h, o, u, s, a, n, d, t, h, s
empty space, equals, left parenthesis, start color blueD, 3, end color blueD, times, 1, right parenthesis, plus, left parenthesis, start color purpleD, 4, end color purpleD, times, start fraction, 1, divided by, 10, end fraction, right parenthesisplus, left parenthesis, start color greenD, 0, end color greenD, times, start fraction, 1, divided by, 100, end fraction, right parenthesis, plus, left parenthesis, start color maroonD, 5, end color maroonD, times, start fraction, 1, divided by, 1000, end fraction, right parenthesis
empty space, equals, start color blueD, 3, end color blueD, plus, start color purpleD, start fraction, 4, divided by, 10, end fraction, end color purpleD, plus, start color greenD, 0, end color greenD, plus, start color maroonD, start fraction, 5, divided by, 1000, end fraction, end color maroonD
3, point, 405 in expanded form is start color blueD, 3, end color blueD, plus, start color purpleD, start fraction, 4, divided by, 10, end fraction, end color purpleD, plus, start color maroonD, start fraction, 5, divided by, 1000, end fraction, end color maroonD.
[Show the solution with decimals.]
3, point, 405, equals, start color blueD, 3, end color blueD, space, o, n, e, s plus, space, start color purpleD, 4, end color purpleD, space, t, e, n, t, h, s, plus start color greenD, 0, end color greenD, space, h, u, n, d, r, e, d, t, h, s, plus, start color maroonD, 5, end color maroonD, space, t, h, o, u, s, a, n, d, t, h, s
empty space, equals, left parenthesis, start color blueD, 3, end color blueD, times, 1, right parenthesis, plus, left parenthesis, start color purpleD, 4, end color purpleD, times, 0, point, 1, right parenthesis, plus, left parenthesis, start color greenD, 0, end color greenD, times, 0, point, 01, right parenthesis, plus, left parenthesis, start color maroonD, 5, end color maroonD, times, 0, point, 001, right parenthesis
empty space, equals, start color blueD, 3, end color blueD, plus, start color purpleD, 0, point, 4, end color purpleD, plus, start color greenD, 0, end color greenD, plus, start color maroonD, 0, point, 005, end color maroonD
3, point, 405 in expanded form is start color blueD, 3, end color blueD, plus, start color purpleD, 0, point, 4, end color purpleD, plus, start color maroonD, 0, point, 005, end color maroonD.
Want to learn more about expanded form? Check out this video.

Practice

Problem 1
57, point, 142, equals, space, question mark
Choose 1 answer:
Choose 1 answer:

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