## Measurement

**Worldwide Systems of**

**Measurement**

Imperial vs. Metric

__Imperial ____System__

- First defined by the British in the 1800’s
- Lengths: mile, yard, foot, inch
- Canada continues to use the Imperial System when trading with goods with the USA

__Metric ____System__

- Most commonly used worldwide (ie: Canada, Europe)
- Lengths: kilometer, meter, centimeter, millimeter
- Canada adopted this system in 1970 to replace the Imperial System

**Measuring in Feet and Inches**

To be able to successfully measure in feet and inches you need to know your twelve times table. The imperial measurement system uses fractions.

You will NOT be converting fractions to decimals. If your calculations include decimals, you have made an error.

Because you are working with fractions, your calculator will not be useful

Tip: When completing any assignments or worksheets, always write down the 12 times table first. This will helps avoid calculation errors when converting inches into feet and inches.

**1 foot = 12 inches **and/or ** 12 inches = 1 foot**

**12 Times Table**

- 12 x 1 =
- 12 x 2 =
- 12 x 3 =
- 12 x 4 =
- 12 x 5 =
- 12 x 6 =
- 12 x 7 =
- 12 x 8 =
- 12 x 9 =
- 12 x 10 =
- 12 x 11 =
- 12 x 12 =

For example:

3 ticks = 3/16ths of an inch

5 ticks = 5/16ths of an inch

12 ticks = 12/16ths of an inch

You must remember to simplify your fractions

For example:

12 ticks = 12/16ths of an inch

Divide the numerator and the denominator by 4.

Remember: Whatever you do to the top number you **must **do to the bottom number

12 divided by 4 = 3

16 divided by 4 = 4

Simplified fraction – 12/16″ = 3/4 of an inch or three quarters of an inch.

Conventions (symbols) how to express inches and feet in your answers

All are correct but we will use the last convention showing only the symbols of feet and inches

1 foot = 1ft = 1′

1 inch = 1in = 1″

Examples:

2 feet and 3 inches will be expressed as follows:

2′ 3″

2 feet 3 and 1/6th of an inch will be expressed as follows

2′ 3 1/16″ The inch mark goes at the very end of the fraction of an inch