Bellringer Go over homework Textbook page 22 problem

Bellringer

Go over homework Textbook page 22, problem 12 -20 even show all your work Practice sheet 1 -4 evens only

1 -5 Measuring in Metric Units � 1971—Department of Commerce recommended the U. S. convert to metric � Today— 90% of world nations use metric system

Metric System �A decimal system based on the number 10 � All measurements are multiples of 10 � Standard rules for amounts of units through the use of prefixes � Units of measure have specific names

Units of Measurement � Prefixes and Multiplier: � Kilo = 1000 � Hecto = 100 � Deca = 10 � Meter = 1 � Deci =. 1 � Centi =. 01 � Milli =. 001 � Examples: � Kilometer � Hectometer � Decameter � Meter � Decimeter � Centimeter � Millimeter

Metric System � Units of Measure ◦ Meters represent length ◦ Grams represent mass or weight ◦ Liters or cubic meters represent volume or capacity

Length - standard unit is meter Abbreviations � 1 millimeter = 1 mm 1 dekameter = 1 dam 1 meter = 1 m 1 decimeter = 1 dm 1 kilometer = 1 km � 1 millimeter = 0. 001 meter 1 centimeter = 0. 01 meter 1 decimeter = 0. 1 meter 1 kilometer = 1000 meters

Length: � 1 meter is a little longer than 1 yard or 3 feet or doorknob to floor. It is about half the height of a very tall adult. � 1 Kilometer is about 11 football fields � 1 centimeter is nearly the diameter of a dime, a little less than half an inch, or the width of your finger. � A millimeter is about the thickness of a dime.

Capacity � 1 liter is a little more than 1 quart. � One teaspoon or a small spoon equals about 5 milliliters.

Mass � 1 milligram is about the mass of a mosquito � 1 gram is about the mass of a paper clip. � 1 kilogram is about the mass of a liter of water or the mass of a bunch of bananas.

Reasonable Estimates � How about the height of a classroom? � How about the mass of a bag of flour? � How about the capacity of a soup bowl? � How about the mass of a butterfly? � How about the length of a pencil? ◦ 3 cm 3 m 3 km ◦ 2. 3 mg 2. 3 kg ◦ 180 m. L 180 k. L ◦ 500 mg 500 kg ◦ 19 mm 19 cm 19 m

How to remember different lengths in the metric system: � When you think of a millimeter (mm) think of: � When you think of a centimeter (cm) think of: ◦ The thickness of a dime. ◦ The width of your pinky.

How to remember different lengths in the metric system: � When you think of a meter (m) think of: � When you think of a kilometer (km) think of: ◦ The height of the doorknob. ◦ A little more than half of a mile

How to remember different volumes in the metric system: � When you think of a liter (L) think of: � When you think of 5 milliliters (m. L) think of: � When you think of 2 kiloliters (k. L) think of: ◦ About the size of a bottle of water. ◦ One teaspoon ◦ A hot tub

How to remember different masses in the metric system: � When you think of a gram (g) think of: � When you think of a kilogram (kg) think of: ◦ A paper clip ◦ A little more than 2 pounds.

What is the order of the metric system? � King ◦ ◦ ◦ ◦ Henry Died by Drinking Chocolate Milk King: Kilo Henry: Hecto Died: Deca By: Base (m, L, g) Drinking: Deci Chocolate: Centi Milk: Milli

7 th Grade Formula Sheet King Henry Died By Drinking Chocolate Milk

King Henry Died By Drinking Chocolate Milk Kilo- 1000 (Thousand) Hecto- 100 (Hundred) Deka- 10 (Ten) Base – 1 (One) Deci- 0. 1 (Tenths) Centi- 0. 01 (Hundredths) Milli- 0. 001 (Thousandths) The “Trick” for converting using “King Henry” Start at the prefix of the unit you are starting with and count the times you move to get to the prefix you are converting to. Do not count the unit you started with. Move the decimal that many places and in the direction you counted (right or left). Example: 5 m = 500 cm The decimal was moved two times to the right from the base unit of meter to cm.

1, 000 thousand 1 one � 7 km = _____ m 7, 000 � 1 one. 01 hundredths � 6 g = _____ cg 600 3 places to right 2 places to right 1, 000 thousand 1 one 3 places to right 9, 150 L � 9. 15 k. L = _____ 1, 000 thousand. 001 thousandths � 6. 25 kg = 6, 250, 000 _____ mg 6 places to right � 2 places to right � 1 one. 01 hundredths 1, 420 cm 14. 2 m = _____

. 001 thousandths 1 one 0. 014 14 m. L = _____ L 3 places to left 1 one 1, 000 thousand 3 places to left 0. 00397 kg 3. 97 g = _____ 1 one 1, 000 thousand 3 places to left 0. 915 L = _____ k. L. 001 thousandths 10 ten 4 places to left 0. 0045 45 mg = _____ dag 1 place to left 1 one 10 ten 1 10 m = _____ dam

Homework Time 12. ) Liter =1 one; m. L=. 001 thousandths Then write answer

Multiplying to change units � Change 245 m. L to L � Change 1. 4 g to mg � Change 34 L to m. L � Change 4, 690 g to kg ◦ It takes 1, 000 m. L to equal 1 L, so times 245 by. 001 to change to liters ◦ 24 ml x 0. 001 = 0. 245 L ◦ It takes 1, 000 mg to equal 1 g, so times 1. 4 by 1000 to get mg ◦ 1. 4 g x 1000 = 1, 400 mg ◦ It takes 1, 000 m. L to equal 1 L, so times 24 by 1000 to get mg ◦ 34 L x 1000 = 34, 000 m. L ◦ It takes 1, 000 g to equal 1 kg, so times by. 001 ◦ 4690 g x. 0001 = 4. 690 kg

10 millimeters = 1 centimeter mm cm 100 millimeters or 10 centimeters = 1 decimeter cm dm 10 decimeters = 1 meter The Length of the Matter MAT/TAP 2003 -2004 24

1 meter is a little longer than 1 yard or 3 feet. It is about half the height of a very tall adult. A centimeter is nearly the diameter of a dime, a little less than half an inch. A millimeter is about the thickness of a dime. The Length of the Matter MAT/TAP 2003 -2004 25

The standard unit of length in the metric system is the meter. The numbers on a meter stick are called centimeters. The 10 lines between centimeter numbers are called millimeters. There are 100 centimeters and 1000 millimeters in a meter. 10 millimeters = 1 centimeter MAT/TAP 2003 -2004 The Length of the Matter 26

The meter is based on multiples of 10. Each millimeter is a tenth of a centimeter. For example: the length of the red line is 7. 5 or seven and five tenths centimeters. The Length of the Matter MAT/TAP 2003 -2004 27

The Length of the Matter MAT/TAP 2003 -2004 28

The standard unit of length in the metric system is the meter Other units of length and their equivalents in meters are as follows: 1 millimeter = 0. 001 meter 1 centimeter = 0. 01 meter 1 decimeter = 0. 1 meter 1 kilometer = 1000 meters We abbreviate these lengths as follows: 1 millimeter = 1 mm 1 centimeter = 1 cm 1 meter = 1 m 1 decimeter = 1 dm 1 kilometer = 1 km The Length of the Matter MAT/TAP 2003 -2004 29

Write the metric measurements shown below. (don’t forget to label your answers) 1. 2. 3. MAT/TAP 2003 -2004 Answers on next The Length of the Matter 30

4. 5 cm 1. 9 cm 2. 6. 5 cm 3. MAT/TAP 2003 -2004 The Length of the Matter 31

English to Metric Conversions � 39, 370 inches = 1 kilometer � 3280. 8 feet = 1 kilometer �. 62 miles = 1 kilometer � 39 inches = 1 meter � 3. 28 feet = 1 meter � 1 � 1 inch = 254 mm inch = 2. 54 cm foot = 30. 48 cm yard = 91. 44 cm yard =. 914 m mile = 1609. 3 m mile = 1. 609 km You do not need to know these. They are just for you to get an idea of how these systems compare.

Metric Conversion Steps