Intro to scientific notation

Intro to scientific notation

What do we know about these numbers?

•  $2.34567\times10^2$  

•  $234.567\times10^0$  

•  $0.234567\times10^3$  

•  $234567\times10^{-3}$  

•  $23.4567\times10^1$  

•  $234,567,000\times10^{-6}$  

• They are all equal! They all represent 234.567

Scientific Notation

• A number in the form

   $d\times10^n$  

• Where d starts with the ones place

Scientific Notation

• A number in the form $a\times10^n$  

• Where a starts with the ones place

• Which of these is in scientific notation?

Are these numbers in scientific notation?

•  $1.908\times10^{17}$  

•  $0.325\times10^2$  

•  $4.0701+10^7$  

•  $18.432\times10^5$ 

Multiple Choice

 $7.99\times10^{32}$  

• Yes

• No

Multiple Choice

 $8\times10^{-11}$  

• Yes

• No

Multiple Choice

 $84.5\times10^{13}$  

• Yes

• No

Texas

• I was born in Texas

• Population: 29 million

• How do we write this in scientific notation?

Texas

• Population: 29 million

• 29,000,000

•  $2.9\times10,000,000$  

•  $=2.9\times10^7$  

• Or, move the decimal 7 places on 2.9

Maryland

• Population 6.046 million

• How do we write this in scientific notation?

Maryland

• Population 6.046 million

•  $6.046\times1,000,000$  

•  $=6.046\times10^6$