Math 10-3 Measurement Ch. 3

Vocabulary Base unit – a unit of measurement on which other units are based. Volume – the amount of space a solid, liquid or gas occupies.

SI Measuring System SI measuring system – “syteme international d’unites” Also known as the metric system Example: meters, centimeters etc.

SI System The base unit for measuring length is the meter (m), the base unit for measuring mass is the gram (g) and the base unit for measuring volume is the litre (L).

SI System This system is a DECIMAL system because it is based on multiples of 10. Any measurement stated in one SI unit can be converted to another SI unit by multiplying or dividing by a multiple of 10.

Imperial Measuring System Imperial system – inches, feet etc. This system is used in many trades. The base unit for length is the foot (ft), the base unit for measuring mass is the pound (lb) and the base unit for measuring volume is the pint (pt).

Imperial System This system is NOT a decimal system. This system was developed at a different time to meet different needs, so each group has a particular relationship. For example, there are 12 inches in 1 foot, 3 feet in 1 yard etc.

Imperial System – Common Units LENGTH Unit Abbreviation Inch in or “ Foot ft or ‘ Yard yd Mile mi

Estimating When estimating the lengths of objects, it is important to have a frame of reference. For example… the length of your stride is pretty close to an imperial foot (or ~30 cm) Your pinky is probably close to about the same as 2 inches. (or ~5 cm). The length from your finger-tips of one arm to the should of the other arm is probably close to 1 meter (or ~1 yard)

Fractions - Review Remember, fractions represent For example: If a pie is cut into 4 pieces, and you have 1 piece, what fraction do you have?

Fractions Visualize: Think: 4 parts make up the whole, 1 part is taken out

Fractions Write: (1 part out of 4 parts total)

Fractions Remember, the numerator is the number on top, and the denominator is the number on the bottom!

Fractions When adding/subtracting fractions, you MUST make the denominator of each fraction equal to the same number. Multiply by whole numbers until they are the same. You may remember this as the “Lowest Common Denominator” or “LCD”

Example 1) Find the LCD of these two fractions. The LCD will be “4”.

Example 2) Multiply the numerator and denominator of the first fraction by 2 to change it to the LCD of 4.

Example 3) Since the second fraction already has the LCD of 4, it stays as is. 4) Add the numerators of the two fractions to get the answer: