In 2012, the movie “The Avengers” made $15 x 108 worldwide. How

much money is this?

In this lesson you will learn how to mentally evaluate

expressions with powers of ten by using patterns in

place value.

Let’s ReviewWhen you multiply a number by a power of ten, the value of each digit increases

ten times for each power.14 x

10= 40

= 4 x 104 x 10 = 4002= 4 x 1004 x 10 = 4,0003= 4 x 1,000

4 x 10

= 40,0004= 4 x 10,00054 x

10= 400,000= 4 x 100,000

Let’s ReviewWhen you divide a number by a power

of ten, the value of each digit decreases ten times for each power.

1300 ÷ 10 = 30.= 300. ÷ 102300 ÷ 10 = 3.= 300. ÷ 1003300 ÷ 10 = .3= 300. ÷ 1,0004300 ÷ 10 = .03= 300. ÷ 10,0005300 ÷ 10 = .003= 300. ÷ 100,000

A Common Misunderstanding

Thinking that a number ends at the ones place.

3 = 3.000003.

Core LessonYou can mentally evaluate an expression

with a power of ten by shifting the decimal point for each power.

539 x 104

5,390,000539.5,390.53,900.539,000.5,390,000.

Core LessonYou can mentally evaluate an expression

with a power of ten by shifting the decimal point for each power.

0.416 x 105

0.416

41,600.4,160.416.41.64.1641,6004,160.41,600.

Core LessonYou can mentally evaluate an expression

with a power of ten by shifting the decimal point for each power.

60.4 ÷ 102

60.40.6040.6046.04

Core LessonYou can mentally evaluate an expression

with a power of ten by shifting the decimal point for each power.

4 ÷ 103

4.0.040.40.040.0040.0040.004

Core Lesson

15.15,000,000.1,500,000.15,000.1500.150.1,500,000,000.150,000.150,000,000.

How much money is $15 x 108?

In 2012, the movie “The Avengers” made $1,500,000,000.

In this lesson you have learned how to mentally evaluate

expressions with powers of ten by using patterns in place

value.