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Mathematics - Elementary Curriculum Mathematics Grade 5
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Strand: NUMBER AND OPERATIONS IN BASE TEN (5.NBT)

Understand the place value system (Standards 5.NBT.14). Perform operations with multidigit whole numbers and with decimals to hundredths (Standards 5.NBT.57).

Standard 5.NBT.3

Read, write, and compare decimals to thousandths.

  • Are these equivalent to 9.52?
    The purpose of this task is to help students develop the understanding that a single base-ten number can be represented in many different ways.
  • Base 60: Babylonian Decimals
    An Annenberg Learning Math video introduces students to the Babylonian number system in base 60. In the classroom activity they review base 10 and apply their understanding to write numbers in base 60. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Comparing Decimals on the Number Line
    This task involves using number lines to compare decimal numbers. The numbers selected in this task are purposefully chosen to target student misconceptions.
  • Drawing Pictures to Illustrate Decimal Comparisons
    The purpose of this task is for students to compare decimal numbers using pictures or diagrams. Using such visual representations helps develop a deep understanding of the base-ten system and underscores that the relative place value of the digits can be more important than the value of the digits as numbers between 0 and 9.
  • Grade 5 Math Module 1: Place Value and Decimal Fractions
    In Module 1, students understanding of the patterns in the base ten system are extended from Grade 4s work with place value of multi-digit whole numbers and decimals to hundredths to the thousandths place. In Grade 5, students deepen their knowledge through a more generalized understanding of the relationships between and among adjacent places on the place value chart, e.g., 1 tenth times any digit on the place value chart moves it one place value to the right. Toward the modules end students apply these new understandings as they reason about and perform decimal operations through the hundredths place.
  • Grade 5 Unit 2: Adding and Subtracting with Decimals (Georgia Standards)
    In this unit students will solve problems by understanding that like whole numbers, the location of a digit in a decimal number determines the value of the digit. Understand that rounding decimals should be sensible for the context of the problem. Understand that decimal numbers can be represented with models. Understand that addition and subtraction with decimals are based on the fundamental concept of adding and subtracting the numbers in like position values.
  • Number and Operations in Base Ten (5.NBT) - Fifth Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Fifth Grade Mathematics - Number and Operations in Base Ten (5.NBT)
  • Placing Thousandths on the Number Line
    Though this task primarily deals with comparing decimal numbers on a number line, it also requires students to draw upon what they know about the base ten system.


UEN logo http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialists - Trish  French or Molly  Basham and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.