Decimal Place VAlue

5th Grade Standard

5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NBT.A.3 Read, write, and compare decimals to thousandths.

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.NBT.A.4 Use place value understanding to round decimals to any place

This goes along with concepts in Lesson 4.3

This also goes along with concepts in Lesson 4.3

Explains place value and the place value chart

Here is a quick introduction to decimal place value.

Introduction to Powers of 10 or Exponents

Chapter 1 - Lessons 1.3

This video is a more in depth explanation of decimal place value.

More general understanding of Decimal Place Value

Comparing Place Value

This video explains about understanding place value in a multi-digit number. 5.NBT.1

Ex. "How does the 5 in hundredths compare to the 5 in the tenths?"

Lesson 4.2

This video explains expanded form with multiplication. Up to this point, students have most likely written expanded form from standard form as 6,743 = 6,000 + 700 + 40 + 3. This video will explain how to write expanded form using multiplication which will help them when writing decimals in expanded form.

Lesson 4.2

Here is another video that explains expanded form using decimals.