Notes
Modeling Integer Operations
You can visually represent addition and multiplication using a number line. This
is a great way of showing what the operation represents!
BIG IDEA: Addition is represented with two arrows stacked on top of each
other.
represents positive
represents negative
*Always start with the arrow closest to the number line. It should start at 0.
*Count the number of spaces each arrow covers.
*The answer to the problem is where the top arrow stops.
Example 1 : Write the addition problem represented by the number line below.
ANSWER: This represents -6 + 10 = 4.
You try! – Write the addition problem represented by the number line below:
1)
2)
BIG IDEA: Multiplication is represented by groups of arrows the same size in a
row.
*Count the number of arrows. Write down this number first.
*The size of the arrow is the second number (they should all be the same!)
*
represents positive
represents negative
*The answer to the problem is where the arrows stop.
Example 2 :
represents 7 x (-2) = -14
You try! – Write the multiplication problem represented by the number line
below.
3)
4)
Mixed – you try! Write the problem represented by the number line below.
5)
6)