51

Learning Goal: I can •Use scientific notation to express large numbers

•Rewrite large numbers written in scientific notation to standard form

• Read a large number written in scientific notation

Scientific notation is mathematical shorthand.

51

2.4 x 10 miles5

Write this famous number from scientific notationto standard form.

Example 1

51

2.4 x 10 miles5

Distance from earth to the sun

51

9.4607 x 10 miles12

EXAMPLE 2

51

9.4607 x 10 miles12

a unit of astronomical distance equivalent to the distance that light travels in one

year, which is 9.4607 × 1012 km (nearly 6 trillion miles)

Light year-

51

7,000,000,000 people

Write this famous number in scientific notationEXAMPLE 3

51

7 x 10 people9

Population of world

51

100,000,000,000,000

EXAMPLE 4

51

1.0 x 1014

Number of cells in human body

51

 1,988,000,000,000,000,000,000,000,000,000 kg

Write this famous number from standard formto scientific notation.

51

 1,988,000,000,000,000,000,000,000,000,000 kg

The Sun has a Mass of 1.988 × 1030 kg.

51

Scientific notation

51

51

Debrief:

How do your write a number inScientific notation?

Why is scientific notation used?

51

COPY THE PROBLEM BEFORE WORKING.

51