Fraction, Decimal, Percent Review Including Prime Factorization and Order of Operations I can generate equivalent FRACTIONS, DECIMALS, and PERCENTS using real world problems. I can order a set of rational numbers arising from mathematical and real-world contexts. I can generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization.

Fractions, Decimals, and Percents are just different ways of showing the same value: A Half can be written... As a fraction: 1/21/2 As a decimal:0.5 As a percentage:50%

Fractions, Decimals, Percents: Some of the Sight Fractions

Always make a fraction, decimal, percent chart: FractionDecimal (out of 1.00)Percent(out of 100)

Fraction to Decimal  If they give you the fraction, write it in the table.  Otherwise, use the numeric data to write the fraction. (Remember, numerator is what they are asking for and denominator is how many make a whole).  Be careful, sometimes they give you the parts and sometimes they give you the whole.  Examples:  20 boys and 30 girls. Fraction of boys: 20/50 Fraction of girls: 30/50. (Add to get whole)  80 marbles and 20 are red. Fraction of red marbles: 20/80 Fraction of not red marbles: 60/80 (Subtract to get Not Red Part)

Fraction to Decimal Fraction Decimal Percent

Fraction to Decimal Examples: Fraction Decimal Percent

Fraction to Decimal Examples: Fraction Decimal Percent Try putting these fractions in the table and converting to decimal: Sally had 6 blue marbles, 9 green marbles and 5 yellow marbles. Write the fraction and decimal of marbles that are not green. There were 50 questions on a test. Mikey got 43 correct. Write the fraction and decimal to represent the questions Mikey got correct. Write the fraction and decimal to represent the questions he got incorrect.

Decimal to Percent Fraction Decimal Percent  Since Percent means “out of 100”, move the decimal 2 places to the right. Just follow the arrow. Moving the decimal twice is the same thing as multiplying by 100 to put the decimal behind the hundredths place.  Then just add the percent sign behind the new number.  For example:.78 = 78%  Don’t worry if there is still a decimal in the number. For example:.124 = 12.4%

Decimal to Percent Fraction Decimal Percent  Now you try, put these in the table. Remember, make the arrow to help you

Percentto Decimal Fraction Decimal Percent divide by 100, and remove the "%" sign. The easiest way to divide by 100 is to move the decimal point 2 places to the left: Remember, follow the arrow: 85% = % = % =.0135 Add zeros when needed.

Percentto Decimal Fraction Decimal Percent Now you try it. Put the following percents in the table and change them to decimal. Remember to draw the arrow to help you. 98% 760% 3.23%.58%

Decimal to Fraction Fraction Decimal Percent

Decimal to Fraction Fraction Decimal Percent  Now, you try it! Put these decimals in the table and convert them to fractions in simplest form: 

Benchmark Question 1: Hint: Change all numbers to the same thing. Either fraction, decimal or percent. First, think which one would be easiest.

Benchmark Question 3: Make sure you make the Fraction, Decimal, Percent Chart

Benchmark Question 12: Make Fraction, Decimal, Percent Chart! What does percent mean?

Benchmark Question 13: Make Fraction, Decimal, Percent Chart

Benchmark Question 41: (Note: Actually adds up to 55)

Prime Factorization Key Vocabulary - Prime Number – Exactly 2 factors, one and itself. Ex. 2, 3, 5, 7, 11….The only way to make these products is to multiply one times itself. Composite Number – More than 2 factors. Ex. 6 because factors are 1 x 6, 2 x 3. Neither – 0 and 1 are neither. What about the number 2? Is it prime, composite or neither? True or False? All even numbers are composite. Why or why not? Is 39 prime? Why or Why not? Remember your divisibility rules!

Factor Tree Example: 120 Start with any two factors Check if these are prime or composite Circle any prime numbers and stop. Keep going if composite. 2 3

Prime Factorization: Your turn. Make the factor tree and write the prime factorization of 180. Do all your steps: Factor Tree, Write the factors least to greatest, Checking Steps, and Exponents. 180

Benchmark Question 21

Order of Operations: P - Parentheses (), { }, [ ] Any type of grouping symbols are always done first. If there is more than one operation in parentheses, they all have to be done before you can move on. In this case pretend like what is in parentheses is a brand new problem. E - Exponents. MD - Multiply and/or Divide from Left to Right. Remember, fractions mean to divide. A number next to a parentheses means to multiply. AS - Add and/or Subtract from Left to Right. Always make this checklist and check it off as you go!

Order of Operations Example: P E MD AS 80 – 5 ( ) + 3 = 80 – 5 ( ) + 3 = 80 – 5 ( 16 ) + 3 = 80 – = = 3

Order of Operations: P E MD AS P E MD AS 4 ( 8 – 3 + 1) 2 Your Turn:

Benchmark Question 22

Benchmark Question 43