A guided framework for understanding what each digit
in a number is really worth
Primary Mathematics (Grades 1-5)
Name:
____________________________________________________________
Class/Grade:
____________________________________________________________
Date:
____________________________________________________________
Protymera
1
, What You Will Learn
☐ Identify the place of a digit in a number (ones, tens, hundreds, and
beyond).
☐ State the value of a digit based on its place.
☐ Write numbers in expanded form and reconstruct numbers from
expanded form.
☐ Represent numbers using a place-value chart.
☐ Compare numbers by starting with the greatest place value and justify
the comparison.
Success looks like: you can find any digit, name its place, and state what it is
really worth - without guessing.
2
, Key Vocabulary
Term Meaning
Digit A single number symbol from 0 to 9.
Place The position where a digit sits in a number.
Value How much a digit is worth in that position.
The value a digit has because of its position in a
Place Value
number.
A number written as the sum of the values represented
Expanded Form
by its digits.
3
, 01 Model
Show It 3 Ways
Strong place-value thinking connects the object, the chart, and the number.
WATCH ME
The number 347 has 3 hundreds, 4 tens, and 7 ones. Concrete: picture 3
hundred-blocks, 4 ten-rods, and 7 single units. Visual: the place value
chart below shows the same grouping, column by column. Symbolic: we
write this as the numeral 347, or in expanded form as 347 = 300 + 40 +
7. The 4 is in the tens place, so it is worth 40 - not just 4.
Concrete
Hundreds
(3)
Tens (4)
Ones (7)
Visual
Hundreds Tens Ones
3 4 7
Symbolic
347 = 300 + 40 + 7
4