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Math Inspection: Rectangles, Arrays, Area, and the
Distributive Property
One way to show multiplication is with a rectangular array.
1. Look at this example:
6
6
5
7
2
a. Explain in words what you see happening.
b. Explain in mathematical symbols what is happening.
160 Everyday Number Sense: Mental Math and Visual Models
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2. Below is an 8 × 9 array.
a. Break it up into a new multiplication problem.
b. Explain in words what you see happening.
c. Explain using mathematical symbols what is happening.
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3. Below is a 5 × 12 array.
a. Break it up into a new multiplication problem.
b. Explain in words what you see happening.
c. Explain using mathematical symbols what is happening.
162 Everyday Number Sense: Mental Math and Visual Models
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4. Fill in the missing numbers below.
a. 6 × 7 = 6 × 4 + 6 × _____
b. 9 × 8 = ____ × 8 + 4 x 8
c. ___ × 7 = 2 × 7 + 5 × 7
d. 6 × 7 = 5 × 7 + ____ × 7
e. 7 × ____ = 5 × 6 + 2 × 6
f. 9 × 9 = 5 × 9 + ____ × 9
g. 8 × 7 = ____ × 7 + 5 × 7
EMPower™
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Lesson 10: Picture This
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