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Conversions from Standard form to Scientific Notation
Rules
&
Reasons
Conversions from Scientific
Notation to Standard Form
Miscellaneous Review
100
Kim Kardashian has $420.00 dollars on hand. What is this number in scientific notation?
Four and two tenths times ten squared, or 4.2 • 10 squared(dollars).
100
Why do we use scientific notation?
We use scientific notation to shorten or abbreviate long numbers.
100
When converting numbers from standard form to scientific notation, what is the difference between having negative exponents and having a negative sign next to the recorded numbers? (e.g.:10 to the power of -8 as opposed to recorded numbers like -3.284.)
For a negative exponent you would move the decimal point left the designated amount of spaces, (decrease the value) whereas you would simply add a negative sign to the set of recorded numbers if the numbers had a negative sign in standard form.
100
There are 53,000 fans at a Barcelona/Real Madrid El Clásico soccer match. What is this number in scientific notation?
What is five and three tenths times ten to the fourth power (5.3 • 10 to the fourth power).
200
Nathan, on average, can say 13,680 words per hour (based on true statistics). How would you write this number in scientific notation?
One and three thousand six hundred eight ten thousandths times ten to the fourth power, or 1.368 • 10 to the power of four.
200
When do we use it?
We use scientific notation whenever it is convenient to (When the number is long and has many zeroes).
200
Shankar Ñirala consumed 4.391 • 10 cubed chimichangas with salsa con queso, chimichurri, and refried beans. What is this number in standard form?
Shankar ate 4,391 chimichangas with salsa con queso, chimichurri, and refried beans.
200
A potato chip factory produces 2.16 • 10 to the fourth power bags of blue potato chips every day. What is this number in standard form?
Twenty one thousand, or 21,600 (bags of blue potato chips produced daily).
300
The Boeing Aviation Company takes about 283,807.573 minutes to manufacture one 747 jet plane. What is this number in scientific notation?
Two and eighty three million eight hundred seven thousand five hundred seventy three hundred millionths, or 2.83807573 • 10 to the fifth power.
300
How do you decide where to move the decimal point when changing numbers greater and less than one from standard form to scientific notation?
Move the decimal point after (for numbers greater than one) or before (for numbers less than one) the first non-zero number from 1 to 9.
300
Rahul D'ohwan received a score of 2.332 • 10 cubed out of 2,400 on three of his SAT tests because he cheated. What would his aggregate score be in standard form?
6,996 total points.
300
What are three examples of how we use scientific notation in our everyday lives?
When talking about monetary things, measuring volume, mass, length, weight, height, speed, time, pressure, distance, width, temperature, area, perimeter, radius, circumference, velocity, diameter, etc.
400
Anubhav Klipp has 50,376,990,000 brain cells. What would this number be in scientific notation?
Five and thirty seven thousand six hundred ninety nine millionths times ten the the tenth power, or 5.037699 • 10 to the power of ten.
400
What do you write to hold place value (when changing numbers from standard form to scientific notation) for numbers less than one?
Numbers with a base of ten and a negative exponent which will vary depending on the number of places the decimal moves.
400
Every year McDonald's serves its customers roughly 2.34769 • 10 to the seventh power lbs. of synthetic food. What would this number be in standard form?
23,476,900 pounds of pure fat and meat.
400
The mean surface temperature on Mars is -218.4592 degrees (Kelvin). What is this number in scientific notation?
Negative two and one hundred eighty four thousand five hundred ninety two millionths times ten squared.
500
There are 13 people living in each of the 13 houses on the left side of Bird Lane. What are these numbers in scientific notation, and what is the product of these numbers in that form?
1.3 • 10 to the first power and 1.3 • 10 to the first power. There are 1.69 • 10 squared people living on the left-hand side of Bird Lane.
500
DAILY DOUBLE! How do you multiply or divide numbers in scientific notation?
You multiply or divide the numbers normally, then subtract (for division) or add (for multiplication) the exponents before rewriting the number in scientific notation to get your final answer.
500
There are about 8.00012 • 10 to the sixth power people living in New York City that are housed, and there are about 5.0004 • 10 to the sixth power homes in the city. Using this information, roughly how many people live in each home?
Roughly 1.6 people per home.
500
The U.S. National Deficit is over $15,297,196,235,604.00 Create an equality with this number in scientific notation.
N (or any other variable) > 1.5297196235604 • 10 raised to the thirteenth power or one and five trillion two hundred ninety seven billion one hundred ninety six million two hundred thirty five thousand six hundred four ten trillionths.