Reading And Writing Whole Numbers In Expanded Notation Worksheet Page 2
ADVERTISEMENT
1
2
3
4
5
6Focus Strategies:
Draw a Picture; Find a Pattern; Write an
Equation
We are shown two triangular patterns of dots. The
Understand
triangle with six dots has three dots on each side. The triangle
with ten dots has four dots on each side. We are asked to find
the number of dots in a triangular pattern that has seven dots on
each side.
We can draw a picture of the triangular pattern and then
Plan
count the dots.
To draw the pattern, we can start at the top of the triangle
Solve
by drawing 1 dot. Then we can place a “row” of 2 dots beneath the
first dot. Then we can place a row of 3
dots beneath the 2 dots. We continue
until we place a row of 7 dots at the
bottom. We count 28 dots altogether.
We know that our answer is reasonable because we
Check
can count the dots in our picture. We could also find a pattern
and write an equation for the number of dots. Each row of dots
in each triangle contains one more dot than the row above it. This
means the triangle with three dots on each side has 1
2
3
6 dots. The triangle with four dots on each side has 1
2
3
4
10 dots. A triangular pattern with seven dots on each side
has 1
2
3
4
5
6
7
28 dots.
New Concept
New Concept
One way to name numbers is to name the place value of each
digit. The number 3256 could be named
Reading Math
3 thousands
2 hundreds
5 tens
6 ones
For the number 3256,
the digit 3 has a face
We could use numbers instead of words to rewrite this as
value of 3, a place value
of 1000, and a total
(3
1000)
(2
100)
(5
10)
(6
1)
value of 3000.
This method of naming numbers is called
expanded notation.
Face
Place
Total
When we write a number in expanded notation, we write a
value
value
value
digit times its place value, plus the next digit times its place
1000
3000
3
value, and so on.
300
Saxon Math Intermediate 5
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education