4-6 Metric Measurements Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

4-6 Metric Measurements

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpFind each value.

1. 102 2. 104

3. 1002 4. 1003

100 10,000

10,000 1,000,000


Problem of the Day

Which is larger, 1003 or 1004? How do you know?

1004 is larger; the power of 100 is greater.


Prep for MA.7.G.4.4 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI))…Rev. MA.5.G.5.2

Sunshine State Standards



Choose the most appropriate metric unit for each measurement. Justify your answer.

A. The amount of water a runner drinks eachday

Meters—The length of a boat is similar to the length of several doorways.

Liters—The amount of water a runner drinks each day is similar to the amount of water in a large water bottle.

Kilograms—The mass of a car is similar to the mass of several hundred textbooks.

Additional Example 1: Choosing the Appropriate Metric Unit

C. The mass of a car

B. The length of a boat


Choose the most appropriate metric unit for each measurement. Justify your answer.

A. The amount of liquid in 10 teardrops

B. The mass of a pencil eraser

C. The length of 15 soccer fields

Check It Out: Example 1

Grams—The mass of a pencil eraser is similar to the mass of a few paperclips.

Milliliters—The amount of liquid in 10 teardrops is similar to the amount of liquid in several eyedroppers.

Kilometers—The length of 15 soccer fields is similar to the length of 10 football fields.


Prefixes:

Milli- means “thousandth”

Centi- means “hundredth”

Kilo- means “thousand”

Reading Math


To convert metric units, multiply or divide by a power of 10. Multiply to convert to a smaller unit and divide to convert to a larger unit.


Move the decimal point 2 places left: 530.

Convert the measure.

530 cL to liters

530 cL = (530 ÷ 100) L100 cL = 1L, so divide by 100.

= 5.3 L

Additional Example 2A: Converting Metric Units


Additional Example 2B: Converting Metric Units

1,070 g = (1070 1000) mg1 g = 1000 mg, so multiply by 1000.

= 1,070,000 mgMove the decimal point 3 places right: 1,070,000.


1,070 g to milligrams


Check It Out: Example 2A

980 dm = (980 ÷ 10) m10 dm = 1m, so divide by 10.

= 98 m Move the decimal point 1 place left: 980.


980 dm to meters


Check It Out: Example 2B

580 g = (580 100) cg1 g = 100 cg, so multiply by 100.

= 58,000 cgMove the decimal point 2 places right: 58,000.


580 g to centigrams


Additional Example 3: Using Unit Conversion t to Make Comparisons

Elizabeth purchases one pumpkin that weighs 3 kg and another that weighs 2,150 g. Which pumpkin weighs more? Use estimation to explain why your answer makes sense.

You can convert the mass of Elizabeth’s pumpkin to grams.

1 kg = 1000 g, so multiply by 1,000.

3 kg = (3 1,000) g

Move the decimal point 3 places right: 3.000.

= 3,000 g

2,150 g is about 2 kg. Since 2 kg < 3 kg, Elizabeth’s 3 kg pumpkin weighs more.


Check It Out: Additional Example 3

Tyesha purchases a bag of potatoes that weighs 2.5 kg and another bag that weighs 3,850 g. Which bag weighs more? Use estimation to explain why your answer makes sense.You can convert the mass of Tyesha’s bag to grams.

1 kg = 1000 g, so multiply by 1,000.

2.5 kg = (2.5 x 1,000) g

Move the decimal point 3 places right: 2.500.

= 2,500 g

3,850 g is about 4 kg. Since 4 kg > 2.5 kg, Tyesha’s 3,850 g bag weighs more.


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


Lesson QuizConvert each measure.

1. 1,270 g to kilograms

2. 890 cm to millimeters

3. 750 mL to liters

4. 122 km to meters

5. 800 mg to grams

1.27 kg

8,900 mm

0.75 L

122,000 m

0.8 g

6. Rosa walks 1.5 km to the library. Meghan walks 2,200 m to the library. Who walks farther? Use estimation to explain why your answer makes sense. Meghan; 0.7 km


1. Which of the following represents 1,320 g in kilograms?

A. 1.32 kg

B. 132 kg

C. 13.2 kg

D. 1,320 kg



2. Which of the following represents 920 cm in millimeters?

A. 9.2 mm

B. 920 mm

C. 92 mm

D. 9,200 mm



3. Which of the following represents 620 mL in liters?

A. 0.62 L

B. 620 L

C. 6.2 L

D. 6,200 L



4. Which of the following represents 523 mg in grams?

A. 5,230 g

B. 52.3 g

C. 5.23 g

D. 0.523 g



5. Robert drives 1.7 km to his office. James drives 2,800 m to his office. Who drives farther? Use estimation to explain why your answer makes sense.

A. Robert drives farther. 2,800 m is 0.28 km. 1.7 km > 0.28 km, so the answer makes sense.

B. James drives farther. 2,800 m is 2.8 km. 2.8 km > 1.7 km, so the answer makes sense.

C. James drives farther. 2,800 m is 0.28 km. 1.7 km > 0.28 km, so the answer makes sense.

D. Robert drives farther. 2,800 m is 2.8 km. 2.8 km > 1.7 km, so the answer makes sense.


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4-6 Metric Measurements Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes