metric system

Objective

You will be able to convert numbers within the metric system.

How many eggs are in 6 dozen?Step 1: How many eggs are in 1 dozen? 12

Step 2: Multiple 12 times 6 dozen = 72

6 dozen x 12 eggs = 72 eggs

1 dozen

Why use metric? Scientists use the metric system when

making observations and taking measurements. The metric system is a form of measurement that scientists around the world use. This form of measurement is also known as the International System of Units, or (“SI”). This measurement system allows scientists to be as precise as possible when performing lab experiments. In science, everything must be exact.

UNITS – different types of measurement are used for different types of units.

Mass – is measured using grams also written as g. Volume – is measured using liters also written as “l”.

Multiplying their length, width, and height can solve 3-D objects.

Distance – is measured in meters also written as m.

English vs. Metric Units

1 pound = 453.6 grams

100 kilogram =

220 pounds

1 ounce of gold =

28,349.5 milligrams

Mass

Mass refers to the amount of matter in an object.The base unit of mass in the metric system is the kilogram and is represented by kg.

Metric Units1 Kilogram (km) = 1000 Grams (g)1 Gram (g) = 1000 Milligrams (mg)

Measuring Mass

We will be using triple-beam balances to find the mass of various objects.

The objects are placed on the scale and then you move the weights on the beams until you get the lines on the right-side of the scale to match up.

English vs. Metric Units

a 12-oz can of soda

would equal

approximately 355 ml.

It would take approximately 3 ¾ 1-liter bottles to equal a gallon.

1 quart = 0.946 liters

Volume

Volume is the amount of space an object takes up.The base unit of volume in the metric system is the liter and is represented by L or “l”.

Standard: 1 liter is equal to one cubic decimeter

Metric Units1 liter (L) = 1000 milliliters (mL)1 milliliter (mL) = 1 cm3 (or cc) = 1 gram*

1,000 cm3 = 1,000 ml = 1,000 g

Measuring Volume

We will be using graduated cylinders to find the volume of liquids and other objects.

Read the measurement based on the bottom of the meniscus or curve. When using a real cylinder, make sure you are eye-level with the level of the water.

What’s the volume of water in the cylinder?

What causes the meniscus?

A concave meniscus occurs when the molecules of the liquid attract those of the container. The glass attracts the water on the sides.

43 ml

Measuring Solid Volume

10 cm

9 cm

8 cm

We can measure the volume of regular object using the formula length x width x height.

_____ X _____ X _____ = _____

We can measure the volume of irregular object using water

displacement.

Amount of H2O without object = ______

About of H2O with object = ______

Difference = Volume = ______

720 cm3

200 ml

265 ml

65 ml

10 8 9

English vs. Metric Units

1.6 kilometers

1 mile

1 yard = 0.9444 meters

1 inch = 2.54 centimeters

Length

Length refers to the distance from one point to another.The base unit of length in the metric system is the meter and is represented by m.

Metric Units1 Kilometer (km) = 1000 meters1 Meter = 100 Centimeters (cm) 1 Meter = 1000 Millimeters (mm)

Measuring Length

How many millimeters are in 1 centimeter?

What is the length of the line in centimeters? _______cm

What is the length of the line in millimeters? _______mm

1 centimeter = 10 millimeters

2.8

28

Multiply each of the following numbers by 10

15 x 10 =

235 x 10 =

12.4 x 10 =

43.2 x 10 =

853.56 x 10 =

150

2,350

124

8,535.6

432

Divide each of the following numbers by 10

230 10 =

4500 10 =

123.5 10 =

21.6 10 =

8.465 10 =

23

450

12.35

2.16

0.8465

Nice Job! If you can

multiply & divide by 10 (or any power of 10), then the metric system will be

easy for you.

KILO1000Units

HECTO100

Units

DEKA10

UnitsDECI

0.1Unit

CENTI0.01Unit

MILLI0.001Unit

MetersLitersGrams

Ladder Method

How do you use the “ladder” method?

1st – Determine your starting point.

2nd – Count the “jumps” to your ending point.

3rd – Move the decimal the same number of jumps in the same direction.

4 km = _________ m

12

3

How many jumps does it take?

Starting Point Ending Point

4.1

__.2

__.3

__. = 4000 m

3

The metric system deals with powers of 10

1 meter =

10 decimeters =

100 centimeters =

1000 millimeters

The Metric System

• Let’s explore this. The Scale looks like this:

K H Da

Unit we’re measuring

inD C M

KiLo

Hecto

Deca

Unit we’re

measuring in…

Let’s say:meters

Deci

Centi

Milli

King Henry’s dad drinks chocolate milk

The Metric System

• Each time you convert, just move the decimal place.

• You only have to know TWO things:

1. Where you are starting on the scale.

2. Where you are going on the scale.

K H Da Unit we’re measurin

g in

D C M

The Metric System

K H Da Unit we’re measuring in D C M

Try It:

Convert: 123m to _______ cm

» Where is the decimal place?» Where do you start on the SI Scale? » Where do you want to go?» Which way?» Fill in the spaces with 0’s (zero’s)

589 dm to _______ km

12,300

0.0589

123.00.

5 8 9..0