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Basic Math & MeasurementBasic Math & Measurement
For Graphic CommunicationsFor Graphic Communications
MeasurementMeasurement
• Each line= 1/16”• 2 lines= 1/8”• 4 lines= 1/4”• 8 lines= 1/2”• 16 lines= 1 inch
• Each line= 1/16”• 2 lines= 1/8”• 4 lines= 1/4”• 8 lines= 1/2”• 16 lines= 1 inch
Understanding the RulerUnderstanding the Ruler
• On your worksheet, answer the questions about the ruler.
• On your worksheet, answer the questions about the ruler.
Answers to Measurement Answers to Measurement
1. 2 8. 12
2. 4 9. 14
3. 8
4. 16
5. 2
6. 4
7. 8
1. 2 8. 12
2. 4 9. 14
3. 8
4. 16
5. 2
6. 4
7. 8
Answers to MeasurementAnswers to Measurement
A. 5/8 H. 3 11/16
B. 1 1/16 I. 3 7/8
C. 1 1/2 J. 4
D. 2 11/16 K. 4 1/16
E. 2 15/16
F. 3 1/4
G. 3 7/16
A. 5/8 H. 3 11/16
B. 1 1/16 I. 3 7/8
C. 1 1/2 J. 4
D. 2 11/16 K. 4 1/16
E. 2 15/16
F. 3 1/4
G. 3 7/16
Answers to measurementAnswers to measurement
1. 1 1/4 8. 2 3/8
2. 2 1/8 9. 2 3/8
3. 3/4 10. 3 5/8
4. 4 1/16
5. 1 1/16
6. 15/16
7. 6
1. 1 1/4 8. 2 3/8
2. 2 1/8 9. 2 3/8
3. 3/4 10. 3 5/8
4. 4 1/16
5. 1 1/16
6. 15/16
7. 6
FractionsFractions
• Each number in fractions is identified by a name
• Each number in fractions is identified by a name
Fractions: AdditionFractions: Addition
• Remember to add fractions, the denominator must be the same
• Example:
• Remember to add fractions, the denominator must be the same
• Example:
Fractions: AdditionFractions: Addition
• Study this example
• Since the 2 and 3 are not alike you must select a denominator that both 2 and 3 will divide into evenly.
• Study this example
• Since the 2 and 3 are not alike you must select a denominator that both 2 and 3 will divide into evenly.
Fractions: AdditionFractions: Addition
• In this case the common
denominator is 6.
• In this case the common
denominator is 6.
Fractions: SubtractionFractions: Subtraction
• The same addition rules apply.
• The only difference is you subtract instead of add.
• The same addition rules apply.
• The only difference is you subtract instead of add.
Fractions: WorksheetFractions: Worksheet
• On your worksheet, complete the fractions section.
• On your worksheet, complete the fractions section.
Fractions AnswersFractions Answers
1. 7/6 = 1 1/6 1. .75 8. .05
2. 4/4 = 1 2. .125 9. .85
3. 6 3/16 3. .0625 10. .15
4. 1/16 4. 1.75
5. 2/4 = 1/2 5. 11.25
6. 3 3/16 6. 65%
7. 175%
1. 7/6 = 1 1/6 1. .75 8. .05
2. 4/4 = 1 2. .125 9. .85
3. 6 3/16 3. .0625 10. .15
4. 1/16 4. 1.75
5. 2/4 = 1/2 5. 11.25
6. 3 3/16 6. 65%
7. 175%
Enlargements & ReductionsEnlargements & Reductions
• Formula for enlargements/reductions if the size and reproduction size are known. This formula is used to find the needed reproduction %.
• Formula for enlargements/reductions if the size and reproduction size are known. This formula is used to find the needed reproduction %.
Enlargements & ReductionsEnlargements & Reductions
• Use this formula to find the new size if the percentage & original size are known.
• Use this formula to find the new size if the percentage & original size are known.
Enlargements & ReductionsEnlargements & Reductions
• On your worksheet, complete the enlargement & reductions section.
• On your worksheet, complete the enlargement & reductions section.
Answers toEnlargements & Reductions
Answers toEnlargements & Reductions
1. 50% 1. 9” 1. 44%
2. 266% 2. 5.7375” 84
3. 18.3% 3. 9.2” 2. 75%
4. 33.3% 4. 4.33125” 70%
1. 50% 1. 9” 1. 44%
2. 266% 2. 5.7375” 84
3. 18.3% 3. 9.2” 2. 75%
4. 33.3% 4. 4.33125” 70%
Type MeasurementsType Measurements
• 12 points= 1 pica
• 72 points= 6 picas
• 72 points= 1 inch
• 6 picas= 1 inch
• 12 points= 1 pica
• 72 points= 6 picas
• 72 points= 1 inch
• 6 picas= 1 inch
Type MeasurementType Measurement
• Example:
6 inches = ? Picas
6 x 6= 36 picas
Note: 6 picas = 1 inch.
So, you multiply 6 inches x 6 picas
• Example:
6 inches = ? Picas
6 x 6= 36 picas
Note: 6 picas = 1 inch.
So, you multiply 6 inches x 6 picas
Type MeasureType Measure
• Complete the type measurement section on you worksheet
• Complete the type measurement section on you worksheet
Type Measurement AnswersType Measurement Answers
1. 144
2. 18
3. 5.5
4. 7
5. 2, 3.5
1. 144
2. 18
3. 5.5
4. 7
5. 2, 3.5
Liquid MeasurementLiquid Measurement
• 8 fluid ounces = 1 cup
• 2 cups = 1 pint
• 2 pints = 1 quart
• 4 quarts = 1 gallon
• 1 liter = .26 gallons
• 8 fluid ounces = 1 cup
• 2 cups = 1 pint
• 2 pints = 1 quart
• 4 quarts = 1 gallon
• 1 liter = .26 gallons
Liquid MeasurementLiquid Measurement
• Example:
• A press helper has been asked to mix a special fountain solution for the press. The directions call for using 3 cups of alcohol, 8 fluid ounces of a special concentrate, and 3 quarts of water. What quantity will there be when mixed?
• Example:
• A press helper has been asked to mix a special fountain solution for the press. The directions call for using 3 cups of alcohol, 8 fluid ounces of a special concentrate, and 3 quarts of water. What quantity will there be when mixed?
Liquid MeasurementLiquid Measurement
• Solution to example
3 cups = 24 fl. Oz.
3 qts. = 96 fl. Oz.
24 fl. Oz. + 8 fl. Oz. + 96 fl. Oz.=
128 fl. Oz. or 1 gallon
• Solution to example
3 cups = 24 fl. Oz.
3 qts. = 96 fl. Oz.
24 fl. Oz. + 8 fl. Oz. + 96 fl. Oz.=
128 fl. Oz. or 1 gallon
Liquid MeasurementLiquid Measurement
• Complete the liquid measurement section of your worksheet
• Complete the liquid measurement section of your worksheet
Liquid Measurement AnswersLiquid Measurement Answers
• Liquid Measurement 1
1. 2 full cube containers
(25 liters = 25 x .2642 = 6.605 gallon capacity,
2 full cube containers is 5 gallons)
2. 1.4346 gallons
(13 x .2642 = 3.4346 gallons ミ 2 gallons = 1.4346 gallons)
• Liquid Measurement 1
1. 2 full cube containers
(25 liters = 25 x .2642 = 6.605 gallon capacity,
2 full cube containers is 5 gallons)
2. 1.4346 gallons
(13 x .2642 = 3.4346 gallons ミ 2 gallons = 1.4346 gallons)
Liquid Measurement Answers 2Liquid Measurement Answers 2
1. Cup
2. 2
3. 8
4. 4,16
1. Cup
2. 2
3. 8
4. 4,16
EstimatingEstimating
• Estimating combines all of the basic math skills.
• Use these skills to solve the problems on your work sheet.
• Estimating combines all of the basic math skills.
• Use these skills to solve the problems on your work sheet.
Estimating AnswersEstimating Answers
1. $ 613.50
2. $1,400.00
3. $10.00
1. $ 613.50
2. $1,400.00
3. $10.00