click below
click below
Normal Size Small Size show me how
Arithmetic 4 Dosing
Arithmetic Needed for Dosage
Question | Answer |
---|---|
Fine Points- Fraction Prime Number | Prime numbers cannot be reduced any futher. Examples are 2,3,5,7, and 11. When reducing, if the last nnumber is even or a zero; try 2. If the last number is a zero, or 5, try 5. If the last number is odd, try 3, 7, or 11. |
Rule: Adding(Subtracting) Fractions with the SAME denominator | If you need to add (subtract) two fractions that have the SAME denominator, add (subtract) the two numerators and write it over the SAME denominator. |
1/5 + 3/5= ? | 4/5 |
Rule: Adding (Subtracting) Fractions with Different denominators | Two step process for fractions with different denominators: 1.) Convert each fraction, multiplying both by its LOWEST COMMON DENOMINATOR. 2.)Add (Subtract) their two numerators together. If necessary, reduce again. |
3/5 + 2/3=? | Lowest Common Denominator is 15, therefore answer is 19/15 |
Multiplying Fractions - Simple | 1.) Multiply numerators across. 2.) Multiply denominators across. 3.) Reduce the answer to its lowest terms. |
Multiplying Several Fractions | 1.) Reduce each fraction by dividing its numerator evennly into its denominator. 2.) Multiply remaining numerators across and then denominators Note you can use any numerator to divide into any of the denominators. |
3/14 * 7/10 * 5/12=? | Reduce 3 into 12, 5 into 10, and 7 into 14. Answer= 1/16 |
Multiplying Mixed Numbers | 1.) Need to change each fraction into an improper fraction. The process: For each fraction, multiply the whole number by the denominator, then add that total to the numerator. |
Dividing Fractions | 1.) Invert the fraction that is after the division sign 2.) Change the division sign to multiplication |
1/4 / 3/6 is read as 1/4 divided by 3/8 What's this equal? | 2/3 |
Change a fraction into a decimal | 1.)Divide the numerator by the denominator. Remember that the line between the numerator and the denominator is a division sign; so ¼ can be read as 1 ÷ 4. For a whole numbers put the decimal point down. |
Adding, Subtracting, Dividing, and Multiplying of Decimals - Rule to Remember | Line up decimal points |
Percents that are Whole Numbers Ex: 7% | Two Methods: 1.) Change to fraction: 7/100 = 1/25or 2.) Change to a decimal: 7/100= 0.07 |
Percents that are Decimals | Simple- Move the decimal point 2 places to the LEFT! |
For Decimals in Medication Math Rules | 1. )Always write the zero BEFORE THE decimal point: .5 = WRONG / 0.5= CORRECT2.) Do Not leave a hanging zero: 0.520 = WRONG/ 0.52 = CORRECT |
Multiplying Decimals | 1.) Multiply 2.)To place the decimal point in the answer by starting at the right and moving the point the same number of places equal to the sum of the decimal places in both numbers multiplied, count the number of places that you totaled earlier. |
2.6 * 0.03 = ? | 2.6 (1 decimal place) * 0.03 (2 decimal places) = 0.078 (1 + 2 = 3 decimal places) |
Dividing Decimals | Rule 1. If the divisor is a whole number leave it and divide into the dividened putting a decimal point ontop where it's located in the dividened. Rule 2. If the divisor is not a whole number, move the decimal point to the right and do same as b4 |
Percents | Percent means “parts per hundred.” Percent is a fraction, containing a variable numerator and a denominator that's always 100. U can write a percent as a fraction, a ratio, or a decimal. |
Percent written as a fraction, ratio, decimal | To write a ratio, use two numbers separated by a colon. Example: 1:100. Read this ratio as “one is to a hundred.”)/Percent written as a fraction: Percent written as a ratio: 5% = 5:100Percent written as a decimal: 5% = 0.05 |
Solving Proportions With an Unknown | When one of the numbers in a proportion is unknown, the letter x substitutes for that missing number. By following three steps you can determine the value of x in a proportion.Step 1. Cross-multiply.Step 2. Clear x.Step 3. Reduce. |
Proportions Expressed as Two Ratios | Step 1. Cross-multiply the two outside numbers (called extremes) and the two inside numbers (called means)).Step 2. Clear x by dividing both sides of the equation with the number that precedes x.Step 3. Reduce the number. |