Chapter 3

Chapter 3

1. Multiplying and Dividing Numbers w/ Intergers

   • Multiply - You have to plus the integers together, DO NOT times them, that's for brackets.
     • 3 to the power of 2 x 3 to the power of 3 = 3 to the power of 2+3 = 3 to the power of 5 = 243
   • Divide - You have to subtract the integers, then you figure it out
     • 3 to the power of 3 / 3 to the power of 2 = 3 to the power of 2 - 1 = 3 to the power of 1 = 3
   • Anything to the power of 0 is 1
   • If you have a negative number but the power is even, it equals a positive number (take out the doubles)
     • If you have negative number without brackets but the power is odd, it equals a negative number

2. Adding and Subtracting Numbers w/ Integers

   • Adding - Figure out the numbers, then add them together.
     • 3 to the power of 2 + 4 to the power of 2 = (3 x 3) + (4 x 4) = 9 + 16 = 25
   • Subtracting - Figure out the numbers, then subtract the first second number from the first number
     • 4 to the power of 2 - 3 to the power of 2 = (4 x 4) - (3 x 3) = 16 - 9 = 7

3. Integers with Fractions

   • If you have a fraction with no brackets but next to the numerator, denominator or both you have a ingterger, you figure out the number and if the denominator turns out bigger than the numerator, turn it into a mixed number
   • If you have brackets and the integer if next to the brackets, it occurs to both the denominator and numerator, you just figure both of them out
   • If you have brackets and a integer outside the brackets and also next to the numerator or denominator, you times both integers together and then work out the final answer
   • If you have a denominator that is negative you can switch it by multiplying it by -1

4. Integers with Decimals

   • If you have a decimal with a integer, you simply figure out normally
   • If used in dividing or multiplacation, you times by ten and figure it out using multiplacation, or long division

5. Adding and Subtracting w/ Negative Numbers

   • If you have the same sign (- and - or + and +) it equals a positive number
   • If you have different signs ( - and + ) it equals a negative number