M7 L51 Scientific Notation Large Numbers

M7 L51 Scientific Notation Large Numbers

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Scientific Notation

• Scientific notation is a method of writing really large or really small numbers in a concise way

• In this example, instead of writing the weight of the earth with a six and 24 zeros, we use a coefficient (6) and a power of 10 with an exponent (24)

Poll

Is 2,000,000 in scientific notation?

• yes

• no

• sometimes

Poll

Is 2.0 x 10¹¹ in scientific notation?

• yes

• no

• sometimes

Poll

Is 20 x 10⁴ in scientific notation?

• yes

• no

• sometimes

Poll

Is 0.999 x 10⁴ in scientific notation?

• yes

• no

• sometimes

Multiple Select

Which of the following are written in scientific notation?

• 2,600

• 52 x 10⁶

• 35.6 x 10⁸

• 2 x 10⁴

• 10 x 10⁹

Standard Form

• To convert a number from scientific notation to standard form we move the decimal point to the right

• We move the decimal point the same number of places to the right as the exponent adding as many zeros as we need

Multiple Choice

What is 7 x 10³ in standard form?

• 70

• 700

• 7,000

• 70,000

Multiple Choice

What is 8.6 x 10⁴ in standard form?

• 8.6

• 860

• 8,600

• 86,000

Multiple Choice

What is 2.46 x 10⁸ in standard form?

• 246,000,000

• 24,600,000,000

• 2,460,000

• 24,600,000

Multiple Choice

Write 40,720,000 in scientific notation.

• 4.072 x 10⁵

• 4.072 x 10⁶

• 4.072 x 10⁷

• 40.72 x 10⁶

Multiple Choice

Which is greater?

3.2 x 10⁶ or 3.2 x 10⁴

• 3.2 x 10⁴

• 3.2 x 10⁶

Multiple Choice

Which is greater?

1.2 x 10⁴ or 2.1 x 10³

• 1.2 x 10⁴

• 2.1 x 10³