3.6 Investigate • Decimal Multiplication

Representations

Farmer Green grows 0.9 tons of grain each year. Seven tenths of the grain grown is barley. Which model shows the amount of barley grown each year?

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Use Diagrams

What multiplication problem is modeled by the diagram?

• 1.3 × 0.3 = 1.03

• 0.7 × 0.3 = 1.03

• 1.1 × 0.3 = 0.3

• 0.3 × 1.1 = 0.33

Multi-Step

An outdoor swimming race is 1.6 miles long. Simon swims 8 tenths of the course, and his friend Sheila swims 9 tenths of the course. How much farther did Sheila swim?

• 0.16 mile

• 0.72 mile

• 0.1 mile

• 0.2 mile

Alex is 1.3 meters tall. His brother, Raul, is 0.6 times as tall as Alex. How tall is Raul?

• 1.9 meters

• 0.7 meter

• 0.78 meter

• 7.8 meters

Nicole draws a mural on her wall. She begins by drawing a line that is 0.5 meter long. She traces 2 tenths of the line with a purple pencil. What is the length of the purple part of the line? Use the decimal model to solve.

• 0.1 meter

• 0.7 meter

• .01 meter

Vanesh uses 1.6 gallons of paint for his bedroom walls. For his study, he uses 0.7 times the amount of paint as he uses for his bedroom. How much paint does Vanesh use to paint his study?

Alex’s tablet computer weighs 1.5 pounds. The weight of his calculator is 0.6 times the weight of his tablet computer. What is the weight of Alex’s calculator?

• 2.1 pounds

• 1.56 pounds

• 0.3 pound

• 0.9 pound

Which equation is represented by the model below?

• 0.1 × 0.7 = 0.07

• 0.7 × 0.6 = 0.42

• 0.6 × 0.2 = 0.12

• 6.0 × 7.0 = 42.0

Sasha’s hundredths decimal model shows the product 0.72. If she shaded 9 columns, what factor represents the shaded rows?

• 0.6

• 0.9

• 0.7

• 0.8

The postman delivers a package and an envelope to Mr. O’Connor. The package weighs 1.8 pounds. The envelope is 0.8 times the weight of the package. What is the weight of the envelope?

• 1.44 pounds

• 1 pound

• 1.16 pounds

• 1.64 pounds