Unit 1 Understanding the Place Value System

  • In Unit One students will:
  • Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
  • Read, write, and compare decimals to thousandths.
    • a. Read and write decimals to thousandths using base-ten numbers, number names, and expanded form,  e.g. 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).
    • Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
  • 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.
  • Use place value understanding to round decimals to any place.

By the end of Unit One your child should be able to answer the following questions.

  • How can we read, write and represent multi-digit whole numbers and decimals?
  • How do we compare whole numbers and decimals?
  • How can rounding numbers be helpful?
  • How does the placement of a digit affect its value? How does the digit relate to other digits around it?

The following videos explain some of the topics covered in Unit 1.

  •  Reading/writing decimals to the thousandths in numeric, word, and expanded form.

  • Place Value of Multi- digit  Numbers

  • Place Value of Decimals

  • Expanded Form/Notation

  •  Expanded Notation of Decimals