Scientific Notation

Complete the pattern

General Rule Positive exponents make numbers larger Negative exponents make numbers smaller

Generating Patterns

What Patterns Did You Notice The exponent determines how many places the decimal moves Positive exponents move the decimal right Negative exponents move the decimal left

Scientific Notation to Standard Notation

Scientific Notation

Write in Scientific Notation 435,000 1,240,000 3,000,200

Write in Scientific Notation

Be Careful, What You Put Online Could Come Back to Haunt You!

How Many Times Bigger We can compare numbers in scientific notation and estimate how many times bigger one is than the other by looking at the magnitude of the power of 10

About How Many Times Bigger - Making Estimates In 1723, the population of New York City was about 7,248. By 1870, almost 150 years later, the population had grown to 942,292. We want to determine approximately how many times greater the population was in 1870, compared to If you were to round the populations to a power of 10, what value would you assign for the years 1723 and 1870?

However….. If we were going to make exact calculations, we find that our estimate was not very accurate.

If We Round the Population More Accurately, We End Up With a Much Better Estimate

The Population of New York City is 8,336,697 The population of New York State is 19,570,261 Estimate how many times larger the population of NY state is than NY city

There are about 9 billion devices connected to the Internet. If a wireless router can support 300 devices, how many wireless routers are necessary to connect all 9 billion devices wirelessly?

Checking for Understanding Mars is about 35,000,000 miles away from Earth. If the moon is 250,000 miles away from Earth, about how many times further is Mars? Put both numbers into scientific notation.

Closure Compare the following numbers by putting them into scientific notation and estimating how many times larger one is than the other: 6,080 and