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8.2C Scientific Notation
READ the LO, What vocabulary do you need to know?
What is scientific Notation?
(Highlight the part of the passage that defines scientific notation)
Watch video and complete the exemplars.
Convert from Standard form to Scientific Notation: 74,000
Will the exponent be positive or negative?
What will be the 1st factor?
What is the 0.000025 in scientific notation?
A bee sting delivers about 0.00005 grams of venom.
Write this number in scientific notation.
Benny says you can write 0.000000215 in scientific notation as
Do you agree with him? Explain why or why not?
Convert from Standard form to Scientific Notation: 0.0345
Check ALL the expressions that are shown correctly in Scientific Notation.
Knowledge and Understanding
Show your work on your HANDOUT
What is 8.7 × 10-3 in standard notation?
Show your work on your HANDOUT
Polly’s parents’ car weighs about 3500 pounds. Samantha, Esther, and Polly each wrote the weight of the car in scientific notation.
Polly wrote 35.0 × 102 , Samantha wrote 0.35 × 104 , and Esther wrote 3.5 × 104.
1) Which of these girls, if any, is correct?
2) Explain the mistakes of those who got the question wrong
What is 9.417 × 101 in standard notation?
Complete the table. Not all Solutions will be used
Sometimes it is not convenient to write a number in standard notation (the notation used to write numbers, Ex. 1,520,000; 0.00052 etc.) especially when the numbers are very large or very small numbers with many decimal places or zeros. You can rewrite a very large and very small number in a more convenient way called scientific notation.
Scientific notation must follow specific rules to be in proper scientific notation.
Scientific notation expresses a number in standard notation as the product of two factors , where the 1st factor is greater than or equal to 1 and less than 10 and the 2nd factor is always a base of 10 raised to the power of an exponent.
* ANSWER QUESTIONS 1 - 4
Which TWO statements about standard notation is correct?
How is scientific Notation expressed?
A large number greater than 1 will have a exponent when converted to notation.
A small number less than 1 will have a when converted to notation.
CHECK FOR UNDERSTANDING 2:
1)Evaluate each expression in Scientific Notation and Standard Notation.
2) Determine if the exponent will result in a number greater than 1 or less than 1 when converted into Standard Notation.
9
7.546
12
0.985
2.12 x 10-1
8 x 103
6,808
9.2389 x 109
0.00006808
4.6908 x 10-7
6.001 x 101
.76408
8,000,000
8 x 10-3
1.586 x 107
SCIENTIFIC number when converted to standard will be GREATER than 1.
SCIENTIFIC number when converted to standard will be LESS than 1.
STANDARD NUMBERS which will have a POSITIVE Exponent when converted to Scientific.
STANDARD NUMBERS which will have a NEGATIVE Exponent when converted to Scientific.
The exponent in the 2nd factor of scientific notation indicates how many zeros to add to the 1st factor.
CHECK FOR UNDERSTANDING
The 1st factor in scientific notation must be written PROPERLY.
1) ONLY 1 digit before the decimal, which cannot be 0.
2) No Leading 0 or trailing zeros.
3) Single digits numbers do not require a trailing 0. (Example 3)
4) 2nd factor in scientific notation must ALWAYS be a base of 10.
Select ALL the values written in proper scientific notation.
