Scientific Notation

Base number MUST be between 1.00 and 9.99

Numbers < 1 have a negative exponent.

Numbers >1 have a positive exponent.

RULES

Scientific Notation

Converting into Scientific Notation:

• Move decimal until there’s 1 digit to its left. Places moved = exponent.

• Large # (>1) positive exponentSmall # (<1) negative exponent

• Only include significant digits in the base number.

65,000 kg 6.5 × 104 kg

D. Scientific Notation

2,400,000 g

0.00256 kg

7 10-5 km

6.2 104 mm

Practice Problems

2.4 106 g

2.56 10-3 kg

0.00007 km

62,000 mm

Scientific Notation

Calculating with Scientific Notation

(5.44 × 107 g) ÷ (8.1 × 104 mol) =

5.44EXPEXP

EEEE÷÷

EXPEXP

EEEE ENTERENTER

EXEEXE7 8.1 4

= 671.6049383 = 670 g/mol = 6.7 × 102 g/mol

Type on your calculator: