Concepts
How many parts are there in the number 1.25 x 10³? Identify the different parts and name them.
3 parts, 1.25 is the coefficient, 10 is the base and ³ is the index or power.
Convert this number to standard form 156.45.
1.5645 x 102
How would you read this number? 1.56 x 10²
One point five six times ten to the power of two
Convert this number to standard form 0.569
5.69 x 10-1
What is another name for standard form?
Scientific notation OR index form
Explain how you would convert this number to standard form and state your answer 98631
Locate the decimal point, or place it to the right since it is not evident. Move the decimal point to the left of the first non-zero number. Count how many spaces were moved. Since it was moved 4 spaces to the LEFT the index will be positive. The answer is 9.8631 x 104
Is this number in standard form? 5.3 x 9² Explain your answer.
No. The base in standard form has to be 10.
Explain how you would convert this number to standard form and state your answer 0.00896
Locate the decimal point, move the decimal point to the left of the first non-zero number. Count how many spaces were moved. Since it was moved 3 spaces to the RIGHT the index will be negative. The answer is 8.96 x 10-3