3-4 Decimals and Metric Measurement Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up Multiply Course Decimals and Metric Measurement 73,      100

Problem of the Day A nurse must administer a 4 mL dose of a drug daily to a patient. If there is one liter of this drug on hand, will it last the patient 150 days? If so, how much will remain? If not, how much more will be needed? 0.4L will remain. Course Decimals and Metric Measurement

Learn to multiply and divide decimals by powers of ten and to convert metric measurements. Course Decimals and Metric Measurement

Course Decimals and Metric Measurement Additional Example 1A: Multiplying and Dividing by Powers of Ten Multiply. A. 7,126  1,000 7, = 7,126,000 There are 3 zeros in 1,000.To multiply, move the decimal point 3 places right. Write 3 placeholder zeros.

Course Decimals and Metric Measurement Additional Example 1B & 1C: Multiplying and Dividing by Powers of Ten Divide. B. 7,126 ÷ 1,000 C ÷ ,126. = There are 3 zeros in 1,000.To divide, move the decimal point 3 places left = The power of 10 is 4.Move the decimal point 4 places left.Write placeholder zeros.

Course Decimals and Metric Measurement Try This: Example 1A Multiply. A. 4,639  1,000 4, = 4,639,000 There are 3 zeros in 1,000.To multiply, move the decimal point 3 places right. Write 3 placeholder zeros.

Course Decimals and Metric Measurement Try This: Example 1B & 1C Divide. B. 4,639 ÷ 1,000 C ÷ ,639. = There are 3 zeros in 1,000.To divide, move the decimal point 3 places left = The power of 10 is 4.Move the decimal point 4 places left.Write placeholder zeros.

Course Decimals and Metric Measurement UnitAbbreviation Approximate Comparison Length Kilometerkm Length of 10 football fields MetermWidth of a door Centimetercm Width of your little finger Millimetermm Thickness of a dime

Course Decimals and Metric Measurement UnitAbbreviation Approximate Comparison Mass Kilogramkg Mass of a textbook Gramg Mass of a small paperclip

Course Decimals and Metric Measurement UnitAbbreviation Approximate Comparison Capacity LiterL Filled bottle of sparkling water MillilitermL Half-filled eyedropper

Course Decimals and Metric Measurement Additional Example 2A & 2B: Choosing Appropriate Units Use the abbreviation for the most appropriate metric unit. A. A soda can is about 12 ____ tall. B. The mass of a pen is about 5 ____. A soda can is about 12 cm tall. Think: A soda can is about the height of 12 little- finger widths. ? The mass of a pen is about 5 g. Think: A pen has a mass of about 5 small paper clips. ?

Course Decimals and Metric Measurement Additional Example 2C: Choosing Appropriate Units Use the abbreviation for the most appropriate metric unit. C. A sip of water is about 3 ____. ? A sip of water is about 3 mL. Think: A sip of water is about 3 half-filled eyedroppers.

Course Decimals and Metric Measurement Try This: Example 2A & 2B Use the abbreviation for the most appropriate metric unit. A. A one-car garage door is about 4 ____ wide. B. The mass of an eraser is about 7 ____. A garage door is about 4 m wide. Think: A garage door is about the width of 4 door widths. ? The mass of an eraser is about 7 g. Think: An eraser has a mass of about 7 small paper clips. ?

Course Decimals and Metric Measurement Try This: Example 2C Use the abbreviation for the most appropriate metric unit. C. A telephone directory weighs about 3 ____. ? A telephone directory weighs about 3 kg. Think: A telephone directory is about 3 textbooks.

Course Decimals and Metric Measurement 1, ThousandsHundredsTensOnesTenthsHundredthsThousandths Kilo-Hecto-Deca- Base unit Deci-Centi-Milli- In the metric system, each unit of measure is ten times greater than the unit to its right in a place- value chart. To convert units within the metric system, multiply or divide by powers of ten.

Course Decimals and Metric Measurement Additional Example 3A: Converting Within the Metric System Convert each measure. A. The height of a door is about 2 m. 2 m = ___ km 2 m = (2 ÷ 1000)km 1 km = 1,000 m, so divide by 1,000. ? 2 m = km Move the decimal point 3 places left. To convert to smaller units, multiply. To convert to larger units, divide. Helpful Hint

Course Decimals and Metric Measurement Additional Example 3B: Converting Within the Metric System Convert the measure. B. The width of a door is about 0.85 m m = ___ cm ? 0.85 m = (0.85  100)cm 1 m = 100 cm, so multiply by m = 85 cm Move the decimal point 2 places right.

Course Decimals and Metric Measurement Try This: Example 3A Convert each measure. A. The height of a building is about 30 m. 30 m = ___ km 30 m = (30 ÷ 1000)km 1 km = 1,000 m, so divide by 1,000. ? 30 m = 0.03 km Move the decimal point 3 places left.

Course Decimals and Metric Measurement Try This: Example 3B Convert the measure. B. The width of a chair is about 0.98 m m = ___ cm ? 0.98 m = (0.98  100)cm 1 m = 100 cm, so multiply by m = 98 cm Move the decimal point 2 places right.

Lesson Quiz: Part ,604 Insert Lesson Title Here m cm Course Decimals and Metric Measurement Multiply or divide  ÷ 100 Use the abbreviation for the most appropriate metric unit. 3. The length of a soccer field is about 100 ___. 4. The width of a computer screen is about 23 ___. ? ?

Lesson Quiz: Part 2 Convert each measure. 5. The width of film for slides is 35 mm. 35 mm = ____ m. 6. The weight of an adult is about 70 kg. 70 kg = ____ g Insert Lesson Title Here 70,000 Course Decimals and Metric Measurement ? ?