Geometry: Measurement

how to convert millimeters to centimeters?

1 cm = 10 mm

how do you convert grams to kilograms?

1 kilogram = 1000 g

how to convert meters to centimeters?

1 m = 100 cm

how do you convert from km to ft?

1 mile = 1.6km 1 mile = 5280 ft

how do you convert ounces to pounds?

1 pound = 16 ounces

how do you convert cm to km

100 cm = 1 m 1000m = 1 km

Give an example of a proportion

2/3 = 4/6

How many feet are in 27 km?

89,100 ft

What is absolute error?

A measurement of the difference between a measured value and its true value

What is relative error / percent error?

A proportion of how large the absolute error is to the true value

What is the metric system?

A standard system of measurement based on powers of 10

What is a proportion?

A statement that two ratios are equivalent

What is the english system / imperial system?

A system of measurement used in the United States using units such as feet, pounds and ounces

The fastest speed ever recorded in space travel is 24,791 mph. The closest star to Earth, other than the sun, is named Proxima Centauri and is 25,000,000,000,000 miles away. If a spaceship traveled at the record speed, how many years would it take to reach Proxima Centauri? A. 1.1512 × 10^5 years B. 6.6308 × 10^7 years C. 1.0084 × 10^9 years D. 8.8339 × 10^12 years

A. 1.1512 × 10^5 years

Of the following, which is most likely the distance from a classroom on the second floor to the playground outside at the end of the wing? A. 105 meters B. 48 feet C. 168 inches D. 2,020 millimeters

A. 105 meters

An object measures 125 cm and has a possible range of error of ±1.6% What is the range of acceptable lengths for the object? A. 123 cm - 127 cm B. 124 cm - 126 cm C. 117 cm - 133 cm D. 109 cm - 141 cm

A. 123 cm - 127 cm

The sun's corona emits large explosions of plasma and magnetic fields called coronal mass ejections. These CMEs can travel 1.5 × 10^13 centimeters in 17 hours. Which of the following is closest to the speed of the CME in kilometers per second? A. 2.45 × 10^3 B. 4.17 × 10^4 C. 1.47 × 10^5 D. 2.45 × 10^5

A. 2.45 × 10^3

Ashley is measuring the height of a tomato plant. She measures the plant to be 66 inches when it is actually 68 inches. What is the relative error of her measurement? A. 2.9% B. 66% C. 2% D. 68%

A. 2.9%

According to the table, how many milliliters are in 1 gallon? 1 gallon = 16 cups 1 cup = 8 ounces 1 ounce = 29 ⅗ milliliters A. 3,788.8 mL B. 473.6 mL C. 236.8 mL D. 3,712 mL

A. 3,788.8 mL

A doctor prescribed a 250 mg capsule of a common antibiotic for strep throat. The pharmacist had only 1 gram of the antibiotic in stock. How many capsules of medicine can the patient get from the pharmacist? A. 4 B. 25 C. 0 D. 40

A. 4

Salome's mousetrap car completed a 30-meter stretch of track in 17 seconds. Which of the following is closest to the speed of the car in kilometers per hour? A. 6.3 kilometers per hour B. 7.1 kilometers per hour C. 5.8 kilometers per hour D. 1.8 kilometers per hour

A. 6.3 kilometers per hour

Which is the most appropriate unit to measure the height of the average adult human? A. inches B. kilometers C. miles D. millimeters

A. inches

A computer can perform 466,501,900 calculations per second. Which of the following is the closest to the number of calculations a computer can perform in one hour? A. 2.8 x 10^10 B. 1.7 x 10^12 C. 4.0 x 10^13 D. 2.8 x 10^14

B. 1.7 x 10^12

Joseph owns a distributing company that repackages cornmeal from bulk quantities into smaller packages. If Joseph wants to fill 100,000 bags that each hold 10 grams of cornmeal, how many kilograms of cornmeal should he buy? A. 10^2 B. 10^3 C. 10^4 D. 10^5

B. 10^3

Marc is measuring the height of a sunflower plant. He measures the plant to be 66 inches when it is actually 68 inches. What is the absolute error of his measurement? A. 66 inches B. 2 inches C. 2 percent D. 68 inches

B. 2 inches

A measurement of 162 inches is how many feet shorter than a measurement of 5.5 yards? A. 3.6 ft B. 3 ft C. 1.5 ft D. 0.3 ft

B. 3 ft

If 2.2 lb = 1 kg, and Mary weighs 120 lbs, how much does she weigh in kg? A. 60 kg B. 55kg C. 264 kg D. 120 kg

B. 55kg

Which of the following is the closest estimate to the area of a football field? A. 6400 mi B. 6400 yd C. 6400 ft D. 6400 in

B. 6400 yd

Mr. Monroe is teaching his students about absolute and relative error of measurements. Several students confuse the numerator and denominator of the formula for determining relative error. What should Mr. Monroe do to address the confusion? A. Give students who are confused a sheet with extra problems. B. Come up with a mnemonic device to help students remember. C. Allow students a formula sheet on exams. D. Move onto the next topic; relative error is a very small part of state exams.

B. Come up with a mnemonic device to help students remember.

Mr. Bielenberg asks students to measure 5 different objects from home using different units of measurement. He does not receive a wide variety of objects. How could he improve this activity in the future? A. Make students redo the activity. B. Give clear guidelines for expected objects. C. Give students who chose 5 objects of similar sizes a bad grade. D. It is okay that there was not much variety, students still learned by measuring.

B. Give clear guidelines for expected objects.

Which of the following measurements would most likely be 15 centimeters? A. a paperclip width B. a pencil length C. a school desk height D. a textbook spine

B. a pencil length

Which is the most appropriate unit to measure length of the average football field? A. inches B. meters C. millimeters D. miles

B. meters

The speed of light is approximately 300,000,000 meters per second. Which of the following is closest to the number of kilometers light can travel in one hour? A. 1.8 x 10^7 B. 1.8 x 10^8 C. 1.8 x 10^9 D. 1.8 x 10^10

C. 1.8 x 10^9

A measurement of 6 yards is how many feet longer than a measurement of 189 inches? A. 0.9 B. 2.0 C. 2.25 D. 5.25

C. 2.25

Avogadro's number equals approximately 6.022 x 10^23 and is the number of atoms in 1 mole of a substance. If there are 10 moles, how many atoms are in the substance? A. 6.022 x 10^23 B. 6.022 x 10^25 C. 6.022 x 10^24 D. 6.022 x 10^22

C. 6.022 x 10^24

Mr. Muldoon is teaching about converting between metric and English units. One of his students refuses to engage in the activity and states "I am never leaving America so I don't need to learn this." How should he respond? A. Give him detention. B. Excuse him from the activity. C. Explain the many ways in which people in America use the metric system. D. Give him a zero for participation for the day and call home.

C. Explain the many ways in which people in America use the metric system.

Jamie needs to measure the diagonal of his computer screen for a project he is working on. What is an appropriate unit of measure he could use? A. yards B. kilometers C. centimeters D. grams

C. centimeters

Malik set up a conversion: 3 g x (4q / 1g) x (2p / 1q) x (2c / 1p) Which of the following conversions is he making? A. pints to gallons B. gallons to pints C. gallons to cups D. cups to gallons

C. gallons to cups

Use the following conversion factors to answer the question below. 1 Pa = 0.00750062 mmHg (at 0°C) 1 atm = 1.01375 x 10^5 Pa During an experiment, a student measures and records a pressure of 1.20 x 10^5 Pa. What is this pressure in atmospheres and millimeters of mercury at 0°C? A. 1.22 x 10^10 atm and 900 mmHg B. 1.18 atm and 1.60 x 10^7 mmHg C. 1.22 x 10^5 atm and 1.60 x 10^7 mmHg D. 1.18 atm and 900 mmHg

D. 1.18 atm and 900 mmHg

The sun produces radiant energy at a rate of 3.9×10^33 ergs per second. Which of the following is the closest to the number of ergs of energy the sun produces in one year? A. 3.4 × 10^38 A. 2.0 × 10^39 C. 5.1 × 10^39 D. 1.2 × 10^41

D. 1.2 × 10^41

Robyn is a Canadian driving her car in the United States. Her dashboard only displays speeds in kilometers per hour. If the posted speed limit is 65 miles per hour, what is the fastest she should drive to the nearest 10 kilometers per hour? (note: 1 mile = 1.609km) A. 110 kilometers per hour B. 40 kilometers per hour C. 60 kilometers per hour D. 100 kilometers per hour

D. 100 kilometers per hour

A pool empties at a rate of 12 quarts every 2 minutes. How many hours and minutes will it take to completely empty the pool which contains 12,000 gallons? (1 gallon = 4 quarts) A. 66 hours and 40 minutes B. 33 hours and 20 minutes C. 16 hours and 40 minutes D. 133 hours and 20 minutes

D. 133 hours and 20 minutes

Samantha has seven class periods each school day that each last 55 minutes. How many hours does she spend in class per week? A. 6 hours and 25 minutes B. 44 hours and 55 minutes C. 35 hours D. 32 hours and 5 minutes

D. 32 hours and 5 minutes

Today is Emerson's 16th birthday. Which of the following is the closest to Emerson's age in seconds? A. 1.4 × 10^6 B. 8.4 × 10^6 C. 2.1 × 10^7 D. 5.1 × 10^8

D. 5.1 × 10^8

Susan travels at a rate of 60 miles per hour for 3 hours. Her car uses on average one gallon of gas per 30 miles. How many gallons of gas does she use on her trip? A. 10 B. 90 C. 180 D. 6

D. 6

A quantity of 400 millimeters is how many centimeters shorter than a quantity of 1.25 meters? A. 125 cm B. 275 cm C. 40 cm D. 85 cm

D. 85 cm

During 1 shift, Sammie's Pizzeria used 2/3​ of their mozzarella cheese to make pizzas and the remaining 48 ounces for other items on their menu. How many pounds of mozzarella did Sammie's Pizzeria use during that shift? A. 3 B. 5 C. 6 D. 9

D. 9

What is Dimensional Analysis / Unit Analysis?

The process of converting within or between systems by multiplying by factors of 1 in various forms

If 2.54 cm = 1 in, about how many inches are in 1 meter? a. 39.4 in b. 36 in. c. 91.44 in. d. 30 in.

a. 39.4 in

how do you find relative error?

absolute error / true value

how do you find absolute error?

approximate value - true value

Give an example of the metric system

meters, liters, grams

Give an example of dimensional analysis / unit analysis

q unit A x (r unit B / s unit A) x (t unit C / u unit B) = x