Download Scientific Notation2

Name________________________________________Date______________8th Grade
Aim
How do we write numbers in scientific notation?
Warm up
Positive Exponent  Move to the Right (because you’re multiplying)
Negative Exponent  Move to the Left (because you’re dividing)
Write each number in standard form.
1.
2.103 × 106
2.
8.97 × 10-4
3.
1.1 × 108
4.
-4.5 × 104
Whole Group Questions
Changing numbers to scientific notation

Place a decimal point so that the first factor is a number  1 and < 10.

Count how many places the decimal point was moved and use that number as the
exponent of 10.

Use a positive exponent for large numbers and a negative exponent for small
decimals.
1.
An estimated 111,000,000 people watched the Super Bowl in 2011. Write this
number in scientific notation.
2.
Write the following number in scientific notation:
3.
The probability of rolling five dice at the same time and having all five dice land on
the number six is about 0.0001286. Write this number in scientific notation.
4.
Write the following number in scientific notation:
0.083
5.
Write the following number in scientific notation:
-4,000,000
6,205,000,000
Group Work Questions
Write each number in scientific notation.
1.
758,000,000
2.
0.000866
3.
0.000004
4.
-3,020,000
5.
5,139,000
6.
0.000071
7.
8 million
8.
9 billion
9.
Explain how you wrote 758,000,000 in scientific notation.
Summary
1.
When a number is in scientific notation, the first factor must always be
________________.
a.
b.
c.
2.
greater than or equal to 1 but less than 10.
a decimal
a whole number
When a number is in scientific notation, the second factor must always be a
________________.
a.
negative number
b.
large number
c.
power of 10
Homework
Write the following numbers in scientific notation:
1.
75,000,000,000
2.
0.000023
3.
0.00516
4.
16 million
6.
3.69 × 10-4
Write the following numbers in standard form:
5.
4.11 × 107