| A | B |
| For which operations is it necessary to align decimals. | Addition and Subtraction |
| Where does the decimal go in the product? | Count the number of digits to the right of the decimal in BOTH of the factors. Start from the right digit of the product and count left the same number of digits and place the decimal. |
| How should division of decimals be set up? | The divisor (number in front) must be a whole number. If it isn't, move the decimal to the right until it is a whole number. The decimal of the dividend must be moved the same number of times, too. |
| What happens when a number is multiplied of a power of 10 (10, 100, 1000...)? | The decimal of the number moves right (larger) the same number of places as there are zeros in the power of 10. (i.e. move the decimal 3 places to the right when multiplying by 1000.) |
| What happens when a number is divided by a power of 10? | The decimal of the number moves left the same number of places as there are zeros in the power of 10. |
| How is a fraction converted to a decimal? | Divide the numerator (top) by the denominator (bottom). Remember the numerator goes inside and the denominator goes outside the division "house". |
| Name 3 ways a Ratio can be represented. | Fraction or Colon ":" or Word "to" |
| What is a Ratio? | A comparison of 2 quantities with the SAME units. |
| What is a Rate? | A comparison of 2 quantities with DIFFERENT units. |
| What is the difference between a Rate and a Unit Rate? | A rate is a fraction and a unit rate is a decimal number. |
| What is a proportion? | Two ratios or rates set equal to each other and the cross products are equal. |
| How do you determine if a proportion in true? | The cross products must equal each other. |