SOLVING RADICALS
EXPONENTS
-AN EXPONENT SHOWS HOW MANY TIMES THE BASE NUMBER IS MULTIPLIED. 3^4 = 3x3x3x3=81
A FEW REMINDERS FOR EVALUATING EXPONENTS
RULES FOR EXPONENTS MULTIPLY EXPONENTS
DIVIDE EXPONENTS
POWER OF A POWER
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SCIENTIFIC NOTATION
3.4293 X 10^3
3.4293 IS THE COEFFICIENT AND 3 IS THE EXPONENT
TO CHANGE FROM SCIENTIFIC NOTATION TO STANDARD NOTATION
- IF EXPONENT POSITIVE, MOVE THE DECIMAL TO THE RIGHT THAT MANY TIMES
- IF EXPONENT NEGATIVE, MOVE THE DECIAL TO THE LEFT THAT MANY TIMES
TO CHANGE FROM STANDARD NOTATION TO SCIENTIFIC NOTATION
STEP 1:
- IDENTIFY IF THE NUMBER IS LARGER THAN ONE OR SMALLER THAN ONE.
- IF NUMBER IS LARGER THAN ONE THEN YOU KNOW THE EXPONENT IS POSITIVE AND IF THE NUMBER SMALLER THAN ONE YOU KNOW THE EXPONENT IS NEGATIVE.
STEP 2:
- FIND WHERE THE DECIMAL IS AND MOVE IT BEHIND THE FIRST NATURAL OR COUNTING NUMBER
STEP 3:
FILL IN THE EMPTY SPACES FOR THE ANSWER
______STEP 2______ X 10^_____STEP1_____
MULTIPLICATION OR DIVISION WITH SCIENTIFIC NOTATION
STEP 1:
MULTIPLY OR DIVIDE THE COEFFICIENT
STEP 2:
APPLY EXPONENT RULES FOR MULTIPLICATION OR DIVISION
- ADD IF ITS MULTIPLICATION AND SUBTRACT IF ITS DIVISION
STEP 3:
BRING IT ALL BACK TOGETHER AND MAKE SURE THE COEFFICIENT IS IN SCIENTIFIC NOTATION