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 notationas 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
1
1
1
1
1
1
1
Question 10
10.
Watch video and complete the exemplars.
Question 11
11.
Convert from Standard form to Scientific Notation: Â 74,000
Question 12
12.
Will the exponent be positive or negative? __________
What will be the 1st factor? __________
What is the 0.000025 in scientific notation? __________
Question 13
13.
A bee sting delivers about 0.00005 grams of venom.
Write this number in scientific notation.
Question 14
14.
Benny says you can write 0.000000215 in scientific notation as
Do you agree with him? Explain why or why not?
Question 15
15.
Convert from Standard form to Scientific Notation: 0.0345
Question 16
16.
Check ALL the expressions that are shown correctly in Scientific Notation.
Knowledge and Understanding
Question 17
17.
Show your work on your HANDOUT
Question 18
18.
What is 8.7 × 10-3 in standard notation?
Question 19
19.
Show your work on your HANDOUT
Question 20
20.
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
Question 21
21.
What is 9.417 × 101 in standard notation?
Question 22
22.
Complete the table. Not all Solutions will be used
Other Answer Choices:
Question 3
3.
What is scientific Notation?
(Highlight the part of the passage that defines scientific notation)
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.
Question 4
4.
Which TWO statements about standard notation is correct?
Question 5
5.
How is scientific Notation expressed?
Question 6
6.
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.
Question 7
7.
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.
Question 8
8.
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.
9.2389 x 109
0.00006808
12
2.12 x 10-1
6.001 x 101
6,808
7.546
8,000,000
8 x 10-3
9
0.985
8 x 103
4.6908 x 10-7
.76408
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.
Question 9
9.
The exponent in the 2nd factor of scientific notation indicates how many zeros to add to the 1st factor.