Math  201920
4.1  Place Value
The student will
a) read, write, and identify the place and value of each digit in a ninedigit whole number;
b) compare and order whole numbers expressed through millions; and
c) round whole numbers expressed through millions to the nearest thousand, ten thousand, and hundred thousand.
Adopted: 2016
BIG IDEAS
So that I can use place value to help me understand the value of a number.
So that I can use place value to better understand numeric operations.
 So that I can estimate when shopping and spending money. For example, if I know I have $50 to spend, I need to round the price of each item first and then add them together to ensure I have enough money.
UNDERSTANDING THE STANDARD
 The structure of the baseten number system is based upon a simple pattern of tens, in which the value of each place is ten times the value of the place to its right.
 Place value
refers to the value of each digit and depends upon the position of the digit in
the number. For example, in the number 7,864,352, the 8 is in the hundred
thousand place, and the value of the 8 is eight hundred thousand or 800,000.
 Whole
numbers may be written in a variety of forms:
 Standard: 1,234,567
 Written: one million, two hundred thirtyfour thousand, five hundred sixtyseven
 Expanded: (1,000,000 + 200,000 + 30,000 + 4,000 + 500 + 60 + 7)
 Numbers are
arranged into groups of three places called periods
(ones, thousands, millions). The value
of the places within the periods repeat (hundreds, tens, ones). Commas are used to separate the periods. Knowing the value of the place and period of a
number helps students determine values of digits in any number as well as read
and write numbers. Students at this
level will work with numbers through the millions period (ninedigit numbers).
 Reading and
writing large numbers should be meaningful for students. Experiences can be provided that relate
practical situations (e.g., numbers found in the students’ environment
including population, number of school lunches sold statewide in a day, etc.).
 Concrete
materials such as baseten blocks or bundles of sticks may be used to represent
whole numbers through thousands. Larger
numbers may be represented by digit cards and place value charts or on number
lines.
 Number lines
are useful tools when developing a conceptual understanding of rounding with
whole numbers. When given a number to round, locate it on the number line. Next, determine the closest multiples of
thousand, tenthousand, or hundredthousand it is between. Then, identify to which it is closer.
 Mathematical symbols (>,
<) used to compare two unequal numbers are called inequality symbols.
ESSENTIALS
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

KEY VOCABULARY
Updated: May 29, 2019