1. MATH 009 JIM DAWSON

2. 1.1 WHOLE NUMBERS Memorize the place values from ones(units) through trillions to see the pattern. Write 26,709 in standard form: Twenty-six thousand seven hundred nine

3. Write five thousand forty-four in standard form. 5,044 Write 200,493 in expanded form. 200,000+400+90+3

4. 1.4 MULYIPLYING WHOLE NUMBERS Memorize the multiplication table up to 12 x 12. Factors- numbers that are multiplied together to equal a PRODUCT( the answer to a multiplication problem).

5. 1.5 DIVISION OF WHOLE NUMBERS Division is used to separate objects into equal groups. Quotient- the answer to a division problem. Most mistakes in division are made in the subtraction portion.

6. 1.6 EXPONENTS Base- the number being multiplied. Exponent- the number to the top right of the base telling you how many times the number by itself.

7. ORDER OF OPERATIONS AGREEMENT Do all operations inside parentheses( other grouping symbols as well) Solve exponents Multiply and divide as they occur from left to right

8. PEMDAS Add and subtract as they occur from left to right 5 x (8-4)-2; 8-4=4 5 x 4 – 2; 5 x 4=20 20-2=18

9. 1.7 PRIME FACTORING Questions(steps) Is the number prime? Yes- prime No – prime factor the number and move to question #2.

10. #2- is the number an even number? Yes- start with 2 N0- go to question #3 Add the digits of the number together, if the answer is divisible by 3-Yes- start with 3

11. No- go to question #4 Does the number end with a 5? Yes- start with 5 N0- start with 7 and continue until a prime number works ( hit or miss).

12. 2.1 FINDING THE LCM AND GCF LCM- Least Common Multiple Factor the numbers and place them in a chart. Circle the largest product of each set of numbers( prime numbers).

13. LCM AND GCF Multiply the numbers( the answer will be equal to or greater than the largest number given).

14. GCF GCF- Greatest Common Factor Factor the numbers and place the answer in a chart Circle the smallest product in each set of numbers that are in common.

15. 2.2 CONVERTING FRACTIONS Conversion #1- to change an improper fraction to a mixed number or whole number. Numerator divided by the denominator and write the remainder as a fraction.

16. CONVERTING FRACTIONS Conversion #2- convert a mixed number or whole number to an improper fraction. Multiply the whole number times the denominator and add the numerator. The denominator stays the same.

17. CONVERTING FRACTIONS Conversion #3- Building equivalent fractions. Divide the new denominator by the original denominator and multiply the answer by the original numerator to place the fraction in higher terms.

18. CONVERTING FRACTIONS Conversion #4- Simplest form or Reducing fractions. Prime factor the numerator and denominator then cancel the common numbers. Multiply the top and bottom to finish reducing.

19. 2.4 ADDITION OF FRACTIONS Find the LCM(LCD) of the denominators. Use the LCM process, if needed. Place the fractions in higher terms (conv. # 3).

20. ADDITION Add the numerators ONLY. Place the answer in simplest form by using conversions # 1 and/or #4. You may use one, both, or neither. Add the whole numbers.

21. 2.5 SUBTRACTION OF FRACTIONS Find the LCM(LCD) of the denominators. Use the LCM process, if needed. Place the fractions in higher terms.

22. SUBTRACTION Subtract the numerators, borrow if needed. Reduce, if needed. Subtract the whole numbers.

23. 2.6 MULTIPLYING FRACTIONS Change the mixed nos. or whole nos. to improper fractions. Early reducing ( cross-cancel) Multiply numerators and denominators. Change improper to mixed nos.

24. 2.7 DIVISION OF FRACTIONS Change mixed nos. or whole nos. to improper fractions. Change division to multiplication and invert the fraction after the divided by symbol.

25. DIVISION Early-reducing(cross-cancel) Multiply numerators and denominators Change an improper fraction to a mixed no. and reduce the proper fraction