Convert Large Numbers in Scientific Notation

Guided Notes - Convert Large Numbers into Scientific Notation

Match

Match the following

(Use the image at the left to help you.)

• 70,000,000,000

• $$7\ \times\ 10^{10}$$

• $$7.0\ \times\ 10^{10}$$

Standard Form

Expanded Form

Scientific Notation

• Standard Form

• Expanded Form

• Scientific Notation

Guided Notes - Convert Large Numbers into Scientific Notation

$2,040,000,000 is the largest Powerball Jackpot in history. Let’s convert that number

into scientific notation.

Step 1 - Write the first factor as a number between 1___ and less than 10.
Which way would you need to move the decimal point?

2,040,000,000

We will need to move the decimal point to the _________.

The first factor = _____

Labelling

Complete the missing information.

Drag labels to their correct position on the image

1

Left

2.04

Guided Notes - Convert Large Numbers into Scientific Notation

Step 2 - To find the power of 10, count the number of
places from the original decimal point to its new
placement.

2,040,000,000

Since you moved the decimal point ___ to the left,
that becomes our power of 10 (exponent.)

Multiple Choice

As we move the decimal to the left, how many spaces do we need to move it?

• 6

• 7

• 8

• 9

Labelling

Drag labels to their correct position on the image

2

2.04

9

10

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10^-7

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

Convert this number into scientific notation:

950,000

• 9.5 x 10⁵

• 9.5 x 10^-9

• 9.5 x 10²

• None of the above

Multiple Choice

Write 5,890,000,000 in scientific notation.

• 5.89 x 10⁹

• 0.589 x 10¹⁰

• 589 x 10⁷

• 5.89 x 10^-9