Math Module 1 Lesson 3

Exponential Form 1

200

3a.    Complete the pattern 

0.02, 0.2, ____, 20, _____, ______

2, 200, 2000

300

1a. Write in exponential form. 

1000

1000 = 10 x 10 x 10 

3 factors of 10

Answer: 10 to the third power (exponent of 3)

400

1d. Write in exponential form. 

100 x 10 

100 x 10 = 1000

1000 = 10 x 10 x 10 

Answer: 10 to the third power (exponent of 3)

500

1e. Write in exponential form. 

1,000,000

1,000,000 = 10 x 10 x 10 x 10 x 10 x 10 

6 factors of 10

Answer: 10 to the sixth power (exponent of 6)

Exponential Form 2

200

3b. Complete the pattern. 

3,400,000  ;   34,000    ;  ______  ; 3.4 ; ________

340     0.034

300

1b. 10 x 10 

10 x 10 = 100

2 factors of 10

Answer: 10 to the second power (exponent of 2)

400

1c. Write in exponential form. 

100,000

100,000 = 10 x 10 x 10 x 10 x 10 

5 factors of 10

Answer: 10 to the fifth power (exponent of 5)

500

1f. Write in exponential form. 

10,000 x 10

10,000 x 10 = 100,000

100,000 = 10 x 10 x 10 x 10 x 10 

5 factors of 10

Answer: 10 to the fifth power (exponent of 5)

Standard Form 1

100

3c. Complete the pattern

_______ ; 8,570 ; _______ ; 85.7 ; 8.57 ; _________

85700             857            0.857

200

2a. Write in standard form.

4 x 10³

4 x 10³

= 4 x 10 x 10 x 10

= 4 x 1000

Move three spaces left on the place value chart.

= 4,000

300

2c. Write in standard form.

5300 divided by 10²

5300 divided by 10²

= 5300 divided by 10 x 10

= 5300 divided by 100

Move two spaces right on the place value chart.

= 53

400

2e. Write in standard form.

6.072 x 10³

6.072 x 10³

= 6.072 x 10 x 10 x 10 

= 6.072 x 1000

Move three spaces left on the place value chart. 

= 6,072

500

2f. Write in standard form. 

60.72 x 10⁴

60.72 x 10⁴

= 60.72 x 10 x 10 x 10 x 10 

= 60.72 x 10000

Move 4 spaces left on the place value chart. 

= 607,200

Standard Form 2

100

3d. Complete the pattern. 

444 ; 4440 ; 44,400 ; ______ ; ______ ; ______

444,000       4,440,000      44,400,000

200

2b. Write in standard form. 

64 x 10⁴

64 x 10⁴

= 64 x 10 x 10 x 10 x 10 

= 64 x 10000

Move four spaces left on the place value chart.

= 640,000

300

2d. Write in standard form.

5,300,000 divided by 10³

 5,300,000 divided by 10³

=  5,300,000 divided by 10 x 10 x 10 

= 5,300,000 divided by 1000

Move three spaces right on the place value chart. 

= 5,300

400

2g. Write in standard form. 

948 divided by 10³

948 divided by 10³

= 948 divided by 10 x 10 x 10 

= 948 divided by 1000

Move three spaces right on the place value chart.

= 0.948

500

2h. Write in standard form. 

9.4 divided by 10²

9.4 divided by 10²

= 9.4 divided by 10 x 10 

= 9.4 divided by 100

Move 2 spaces right on the place value chart. 

= 0.094