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