Science Notation

Vocabulary

100

What's the definition of scientific notation??

Method of writing numbers in terms of a decimal number between 1 and 10, multiplied by a power of 10.

200

When moving the decimal to the left you...

Add to the exponent

300

When moving the decimal to the right you..

subtracting from the exponent

500

to multiply two numbers expressed in scientific notation

simply multiply the numbers out front and add the exponent.

Adding Using Science Notation

100

(9.70 x 10⁶)+(8.3 x 10⁵)

10.53 x 10⁶

200

(1.2 x 10⁵) + (5.35 x 10⁶)

5.47 x 10⁶

300

(2.1x10³)+ (4.4x10³)

6.5 x 10³

400

(3.5 x 10⁴) + (3.1 x 10⁵)

3.45 x 10⁵

500

(1.2 x 10⁵) + (5.35 x 10⁶)

5.47 x 10⁶

Dividing Using Science Notation

100

3.6 x 10⁵ ---------- 1.2 x 10¹⁵

3 x 10-¹⁰

200

(4.8 x 10-³) ------------- (2 x 10-¹⁰)

2.4 x 10⁷

300

7 x 10⁴ -------- 2 x 10⁹

3.5 x 10-⁵

400

(15 x 10⁶) ----------- (3 x 10²)

5 x 10⁴

500

1.1 x 10-³ ----------- 5.5 x 10-⁸

2 x 10⁶

Subtracting Using Science Notation

100

3.4 x 10³ - 4 x 10²

30 x 10²

200

5.67 x 10⁹ - 2.1 x 10

3.66 x 10⁹

300

(9.49 x 10⁵) - (4.863 x 10⁵)

4.627 x 10⁵

Multiplying Using Science Notation

100

2 x 10⁷ • 4 x 10⁴

8 x 10¹¹

200

3 x 10-³ • 4 x 10⁴

1.2 x 10²

300

(9 x 10³) • (5 x 10²)

4.5 x 10⁶

400

( 3.2 x 10²) x (1.8 x 10⁴)

5.6 x 10⁶

500

(3 x 10²) • (2 x 10⁵)

6 x 10⁷