Comparing Fractions Decimals and Percents Fractions can be
Comparing Fractions, Decimals, and Percents
Fractions can be your friend! • A fraction is made up of twonumerator parts. denominator • The top part is called the ____. • The bottom part is called the ____. numerator denominator
Converting Fractions Into Decimals with a calculator is Easy! • The first thing you do is type in the numerator ______ division • Then you press the ____key • The next thing you do is type in your denominator ______ equal • Press the _____ sign • Then PRESTO you are now converted!
Now Let’s Try It! • Convert ___ into a decimal. First type 7 • • • then the division symbol, then the 12, and finally the equal sign. The answer is _____. . 06 Now convert _____ into a decimal. The answer is _____. . 3375 Finally, let’s convert _____. The answer is _____.
Sometimes it is necessary to convert a number into scientific notation or from scientific notation to standard ____ form. Here is how it is done: • First let’s go from scientific notation to standard form. • (It’s super easy! Let’s take 3. 412 x 104 - allxyou have to y do is type in 3. 412 times 10 then hit the _______ symbol and the 4 and the calculator does the work. If your calculator isn’t handy, all you have to do is move your right decimal four spots to the ____. If your scientific notation number has a negative like 3. 412 x 10 -4 , the procedure is the same but you hit the +/four and then the ____. Your answer is 0. 0003412 ______. If your calculator isn’t handy, remember that the negative four just means that you left move your decimal four spots to the _______.
Converting a number from standard form to scientific notation is also pretty easy. Take the number 34, 567, 890. If converting by hand you just start with the decimal and then count how one many spots it takes to get to just ______ number before the decimal. If you are moving your decimal to the left your exponent is positive _______. If you are moving your decimal to the negative right your exponent is ______. Write these two examples as reference: Example 1: 4. 234 = __________ Example 2: . 005678 = ________
• To convert a number from standard notation to scientific notation is a piece of cake! You just type in the number exactly as you see it. Then yellow 2 nd button which is ____. you hit the ______ 5 Next if you look above the number _____ sci you will see ______. This stands for scientific notation. Let’s take the number 1, 234. 56. Just 2 nd punch that into your calculator. Hit the ______ sci and _____ and presto! Your number now 1. 23456 03 says _______. Now all you have to 1. 23456 x 103 remember is to write it as _______ and you are all converted!
Converting Percents to Decimals is Even Easier! two percent decimal . 37%. . =______ • All you need to do is move your decimal point over • • ____ places to the left Then remove that worrisome _______ symbol And Abracadabra you have converted a percent into a ______! Hint: If there is no decimal, you start by putting one to the far right of the number and then begin!
Now let’s talk about decimals! • Decimals are just like regular numbers • The bigger the decimal. . . The bigger the number Which is bigger? . 045 or. 45? zero at the To figure this out you need to fill in a ____ end so that they are even, and then imagine that the decimal is no longer there. This would give you. 45 045 and 450. Now which one is bigger? ____
Here comes the tricky part! Now we have to learn how to put a list of fractions, decimals and percents in order from least to greatest! • The first thing we need to do is write each one of them on • • a line going down our paper. Next we need to convert each of them into decimals Then we need to put a little letter beside each of them – with “A” being the littlest and “D” being the greatest Finally we need to re-order them from least to greatest in their original form using our letter system If you have a multiple choice question, then at this point you need to choose the answer that looks like yours, if not then just write your answer!
Okay, so now it’s your turn! Which list of numbers is in order from least to greatest? a)0. 3, 4/5, 27%, 0 b)27%, 0. 3, 0, 4/5 c)4/5, 0, 0. 3, 27% d)0, 27%, 0. 3, 4/5 It may seem really hard, but I promise you it is not that bad!
Let’s take it one step at a time: The first thing we need to do is write each one in a line going down our paper. Since we have four different choices we should start with choice “A” and convert those. • 0. 3 • 4/5 • 27% • 3 x 10 -3 Now this first one is already a decimal so we are going to leave it alone for now.
Next we need to convert each of them into decimals • 0. 3 • 4/5 Remember to type in 4 divided by 5 equals into your calculator • 27% Don’t forget to move that decimal two places to the right! • 3 x 10 -3
So let’s see if you are right? • 0. 3 = 0. 3 • 4/5 = 0. 8 • 27% = 0. 27 • 3 x 10 -3 =. 003
Now we need to make sure that our decimals all have the same number of places. 0. 3 • 0. 3 = _______. 8 • 4/5 = _______. 27 • 27% = _______ 0. 003 • 3 x 10 -3 = ____ Since this number has three places behind the decimal let’s add zeros and a decimal (if missing) to the rest to make them all even.
Since. 003 has three places behind the decimal let’s add zeros and a decimal (if missing) to the rest to make them all even. 0. 3 = 0. 300 • 0. 3 = _______. 8 = 0. 800 • 4/5 = _______. 27 = 0. 270 • 27% = _______ 0. 003 = 0. 003 • 3 x 10 -3 = ____
Then we need to put a little letter beside each of them – with “A” being the littlest and “D” being the greatest 0. 3 = 0. 300 C • 0. 3 = _______. 8 = 0. 800 • 4/5 = _______ D . 27 = 0. 270 • 27% = _______ B 0. 003 = 0. 003 • 3 x 10 -3 = ____ A
Finally we need to re-order them from least to greatest in their original form using our letter system 0. 3 = 0. 30 • 0. 3 = _______ C . 8 = 0. 80 • 4/5 = _______ D . 27 = 0. 27 • 27% = _______ 0 = 0. 00 • 0 = ____ B A 0, 27%, 0. 3, 4/5 is the proper order
3 x 10 -3, 27%, 0. 3, 4/5 is the proper order, so what is the best answer? Which list of numbers is in order from least to greatest? a)0. 3, 4/5, 27%, 3 x 10 -3 b)27%, 0. 3, 3 x 10 -3, 4/5 c)4/5, 3 x 10 -3, 0. 3, 27% d)3 x 10 -3, 27%, 0. 3, 4/5 If you guessed “D” then you are a math whiz!
The End *** This extraordinary Power Point was created by one of the best teachers in the entire world! Drum roll, Please! Mrs. Hacker
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