Scientific Notation

1
Scientific Notation

• We are learning towrite number greater than or
  equal to one in scientific notation.
• Tuesday, March 10, 2015

2
Where will I ever see Scientific Notation?

• In your science textbook you read the following
• The speed of light is 5.89248 1010 feet per
  minute.
• What does this mean? Is that really fast or
  really slow?

3
Find the following solutionsAs youre working
can you find a pattern?

• 4.5 100
• 4.5 101
• 4.5 102
• 4.5 103
• 4.5 104
• 4.5 105

4.5 45 450 4,500 45,000 450,000

• 4.5 1
• 4.5 10
• 4.5 100
• 4.5 1,000
• 4.5 10,000
• 4.5 100,000

Do you see any trends in how these products are
increasing?
4
Can you make rule describing how to multiply by a
power of 10?

• The exponent tells us how many places to move the
  decimal point (to the right).
• For example
• 7.639 107 means 7.639 10,000,000
• OR just think
• Move the decimal 7 places to the right!
• 76390000000
• 76,390,000
• (Remember that 7.639 7.63900000000000)

.
5
Where do you find a decimal point for a whole
number?

• To the right of the ones digit.
• (All the way at the end of the number)
• So 38 is really 38.0000000000000000000

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Practice multiplying by a Power of 10
3,230

• 1. 3.23 103 ________________
• 2. 436 105 ________________
• 3. 4.565 108 ________________
• 4. 8 102 ________________
• 5. 0.393 103 ________________
• 6. 0.0034 109 ________________

43,600,000
456,500,000
800
393
3,400,000
7
What is the product of4.065 106

1. 4,065
2. 0.000004065
3. 4,065,000
4. 4.065000

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What is scientific notation?

• Method for writing really big numbers so that
  they are easier to read.
• Often used in science books and other scientific
  journals.
• The product of two numbers
• A number greater than or equal to 1 but less than
  10.
• A power of 10.
• (1 10) 10?

9
Think of Scientific Notation as if

• You are given the solution and you have to think
  of the multiplication problem using a power of 10
  that would give you that particular product.
• Practice
• 290 ___________
• 3,482 __________
• 59,777 __________

2.9 102
3.482 103
5.9777 104
10
Bonnie tried to write 4,000,000 using Scientific
Notation but she wrote 40 105 Unfortunately
this is incorrect. Which of the following best
describes Bonnies mistake?

1. 40 105 does not equal 4,000,000.
2. The first number in the product must be less than
   10 but greater than or equal to 1.
3. She should have written 0.4 107.
4. Bonnie did not use a power of 10 as the second
   number in her product.

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In your science textbook you read the
following The speed of light is 5.89248 1010
feet per minute.What is the speed of light in
standard form?

1. 58,924,800,000 feet per minute
2. 5.89248 feet per minute
3. 589,248 feet per minute
4. 58,924,800,000,000 feet per minute

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What is the number 3,200,000,000 in scientific
notation?

1. 32 108
2. 3.2 106
3. 3.2 109
4. 32 109

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