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Unit 8, Lesson 1
5
Place Value of Decimals
Unit 8, Lesson 1
How did we know the value of 8,651?
First, let's remind ourselves what decimals are!
Review Vocabulary:
Objective:
We know the value of numbers by understanding the place value of their digits!
Standard Form:
A common way of writing a number with commas separating groups of three digits starting from the right.
8,651
A way to write a number that shows the place value of each digit.
Expanded Form:
Students will write the standard, expanded, and word forms of whole numbers in the billions and identify the value of the digits in whole numbers.
8000 + 600 + 50 + 1
6
8
1
5
Word Form:
A way of expressing numbers by using words.
Eight Thousands, Six hundred, Fifty, One
eight thousand six hundred and fifty-one
8,000 + 600 + 50 + 1
Fractions (or parts of a whole) can be shown as decimals. We can determine their value by their location as well!
Patterns
Your Turn!
I'll show you a number and you identify the value of the digit that is underlined.
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Tenths
Hundredths
Thousandths
Ten Thousandths
Hundreds
Tens
Ones
Tenths
Hundredths
Thousandths
Ten Thousandths
Hundreds
Tens
Ones
Complete the 10 Questions Quiz
(Place Value- Thousandths)
to practice identifying place value in decimals.
1 1 1 1 1 1
,
2 1 2 5 3 1 5
,
What pattern do you notice about place value?
50,000 or Fifty Thousand
212,531.5
Each time you move one place to the left, the number is 10 times the value.
Each time you move one place to the right, the number is 1/10 the value.
200,000 + 10,000 + 2,000 + 500 + 30 + 1 + 5/10
50 or Fifty
1. 456,216.34
2. 6,258.1
3. 74.256478
1,000 is 10 x 100, 100 is 10 x 10, 10 is 10 x 1
Two hundred twelve thousand five hundred thirty-one and five tenths
0.1 is 1/10 x 1, .01 is 1/10 x 1/10
5/100 or Five Hundredths
Billions Millions Thousands Ones Decimals
Tenths
Hundredths
Thousandths
Ten Thousandths
Hundreds
Tens
Ones
,
Billions Millions Thousands Ones Decimals
Hundreds
Tens
Ones
Billions Millions Thousands Ones Decimals
Hundreds
Tens
Ones
Billions Millions Thousands Ones Decimals
Hundreds
Tens
Ones