Exponents and Scientific Notation

How it Changed

100

7.5 x 10⁵=75000

Exponent is positive 5. Move the decimal 5 places to the right

200

3.8 x10⁴= 38,000

Exponent is positive 4. Move 4 decimal places to the right.

300

4.2x10^-3= .0042

Exponent is negative 3. The decimal is moved 3 places to the left.

400

7.51 X 10^-5 =.0000751

Exponents is negative 5. move the decimal 5 places to the left.

500

6.12x10¹=61.2

The exponent is positive 1. Move the decimal 1 space to the right.

Regular Notation to Scientific Notation

100

45,000

4.5 x 10⁴

200

9,000,000

9 x 10⁶

300

7,450

745 x 10¹

400

.0000378

378 X 10^-5

500

.05

-5x10^-1

Scientific Notation to Regular Notation

100

9.46 x 10² =?

946

200

2.5 X 10³=?

2,500

300

1.6x10-²=?

0.016

400

7.25 X 10-³=?

0.00725

500

7.25 x 10⁴=?

72,500

Random

100

2.47x10^-3=

.00247

200

9.3x10⁷=?

93,000,000

300

8.5x10^-5=?

.000085

400

7x10^-8=?

.00000007

500

2.07x10⁶=?

2,070,000

Multiplying with Scientific Notation

100

(2.6 x 10⁵) x (1.9x10²)

4.94 x10⁷

200

(3.7 x10²) x (1.2 x10²)

1.41 x 10⁴

300

(8.5 x 10³) x (1.1 x10¹)

9.35 x10⁴

400

(6.45 x 10⁵) x (1.2 x 10³)

7.73 x 10⁸

500

(5.2 x 10²) x (1.2x10¹)

6.14 x10³