Powers of 10

Powers of 10

Grade 8 Math

Module 1 Lesson 7

Multiple Choice

What is

 $8\times10^4$ ?

• 8,000

• 80,000

• 800,000

• 800

 $8\times10^{4\ }=\ 8\times10,000\ =\ 80,000$  

What is

 $3.3\ \times10^{23}$  ?

What is

 $3.3\ \times10^{23}$  ?

 $3.3\times10^{23}=330,000,000,000,000,000,000,000$  

Scientific notation

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. 

Why is scientific notation important?

Scientific notation is useful because it helps us to more efficiently describe the size of huge objects (like planets) or microscopic objects (like atoms).

The rest of this lesson is some questions about scientific notation.

Each question has a timer of two minutes.

Multiple Choice

What is scientific notation?

• A long way to write really short numbers

• A short way to write really long numbers

• I don't know...

• None of the above

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50

• 5

• 100

• 10

Multiple Choice

When using scientific notation, a positive exponent means ...

• the standard number is greater than one

• the standard number is less than one

• the negative sign doesn't have a meaning

• None of the above

Multiple Choice

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very...

• Large

• Small

• Basic

Multiple Choice

Which of the following expressions is equivalent to 86,000?

• 8.6 x 10⁴

• 8.6 x 10²

• 8.6 x 10³

Multiple Choice

Convert this number into scientific notation: 0.068

• 6.8 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Fill in the Blank

Convert this number to standard notation: 7.1 x 10⁴