Lesson 16: Practice Problems

Problem 1

Write three numerical expressions that are equivalent to $(0.0004) \cdot (0.005)$ .

Problem 2

Find each product. Show your reasoning.

$(1.2) \cdot (0.11)$
$(0.34) \cdot (0.02)$
$120 \cdot (0.002)$

Problem 3

You can use a rectangle to represent $(0.3) \cdot (0.5)$ .

A rectangle area model. The rectangle is partitioned into 15 identical squares. There are 5 rows of 3 squares in each row.

What must the side length of each square represent for the rectangle to correctly represent $(0.3) \cdot (0.5)$ ?
What area is represented by each square?
What is $(0.3) \cdot (0.5)$ ? Show your reasoning.

Problem 4

Here is a rectangle that has been partitioned into four smaller rectangles.

A rectangle partitioned into smaller rectangles A, B, C, D. The height is 2.6 and width 3.4.

For each expression, choose the sub-rectangle whose area, in square units, matches the expression.

$3 \cdot (0.6)$
$(0.4) \cdot 2$
$(0.4) \cdot (0.6)$
$3 \cdot 2$

A
B
C
D

Problem 5

Find the value of $\frac{49}{50} \div \frac{7}{6}$ using any method.

Problem 6

Calculate each difference. Show your reasoning.

$13.2 - 1.78$
$23.11 - 0.376$
$0.9 - 0.245$