Metric Measurement
1. What is the correct scientific notation for 200,000?
a. 2 x 104
b. 2 x 109
c. 2 x 108
d. 2 x 105
200,000 is the same as 2 x 105. The decimal moves 5 places to the left to make a number in
the ones place. Because this is a large number (greater than 1) this is indicated by a positive
exponent.
2. What is the correct scientific notation for 10000?
a. 1 x 10-4
b. 1 x 10-3
c. 1 x 103
d. 1 x 104
10,000 is the same as 104. The decimal moves 4 places to the left to make a number in the
ones place. Because this is a large number (greater than 1) this is indicated by a positive
exponent.
3. What is the meaning of 4.32 X 10-2 ?
a. 0.00432
b. 432
c. 0.432
d. 0.032
This will be a small number due to the negative exponent, so we will move the decimal to
the left to show that the number is less than one. We will move it two spaces because the
exponent is -2. Moving the decimal of 4.32 two places to the left will give 0.0432. In double
checking this answer, we would need to move the decimal two places to the right to yield
4.32 x 10-2 so this answer makes sense.
4. What is the meaning of 4.32 x 103?
a. 432
b. 4320
c. 0.00432
d. 0.0432
This will be a large number due to the negative exponent, so we will move the decimal to
the left to show that the number is less than one. We will move it two spaces because the
exponent is -2. Moving the decimal of 4.32 two places to the left will give 0.0432. In double
,checking this answer, we would need to move the decimal two places to the right to yield
4.32 x 10-2 so this answer makes sense.
5. Arrange the following values from smallest (top) to largest (bottom)
a. 10-5
b. 101
c. 1
d. 106
e. 10-2
f. 104
g. 10-3
10-5 is the smallest, and moving to largest with 10-3, 10-2, 1, 101, 104, and the largest at 106.
6. Select the appropriate value for each part of the equation.
12 inches will go on top, and 1 foot will go on the bottom. These two values are equal, so we
can write them as a fraction.
7. Is the measurement quantitative or qualitative?
Quantitative --- That shirt is orange, That object is beautiful, The patient’s pain level is 5
Qualitative --- The patient weighs 150 lbs, The patient’s fever is 38.1 C
Patient weight and temperature are both quantitative measurements, while pain level,
color, and qualities (beautiful) are qualitative measurements.
8. Determine if the measurement is metric or English.
Metric --- The patient is 130 centimeters tall, Walk 500 meters, Add 25 g of salt,
English --- The patient weighs 150 pounds, Walk 500 miles, Add one cup of sugar to the
solution
Centimeters, grams, and meters are all metric measurements, while pounds, cups, and
miles are English measurements.
, 9. Match the unit to the measurements.
Length --- Feet, Meters
Volume ---Liters, Cups
Weight/Mass ---Pounds, Grams
Meters and feet both measure length, liters and cups measure volume, and pounds and
grams measure weight or mass.
10. Solutions A, B, and C are combined in the same cup and form layers as shown, with
solution A on the top, solution B in the middle, and solution C on the bottom. Use the
dropdown list to choose the density category of solutions A, B, and C.
Solution C is the most dense because it sinks to the bottom. Higher density solutions will
sink, whereas less dense solutions will float.
11. Calculate the density of solution A if its mass is 10 grams and its volume is 15 mL.
a. 150 g/mL
b. 1.5 g/mL
c. 1.0 g/mL
d. 25 g/mL
e. 0.67 g/mL
Following the formula for density as the mass in grams divided by the volume in mL, we
divide 10 g by 15 mL to calculate the density as 0.67 g/mL
12. Would would have the most mass, and consequently the higher value: an ounce of
gold, a pound of gold, or a kilogram of gold?
a. pound of gold
b. ounce of gold
c. kilogram of gold
13. How many inches are in 1.3 yards?
a. 0.0361 inches
b. 130 inches
c. 46.8 inches
d. 13 inches
There are 12 inches in 1 foot, and 3 feet in 1 yard. Therefore, there are 36 inches in 1 yard.
These conversion can both be used in a ladder, or using only 36 inches = 1 yard.
Multiplying 1.3 yards by 36 inches / 1 yard is 46.8 inches.
1. What is the correct scientific notation for 200,000?
a. 2 x 104
b. 2 x 109
c. 2 x 108
d. 2 x 105
200,000 is the same as 2 x 105. The decimal moves 5 places to the left to make a number in
the ones place. Because this is a large number (greater than 1) this is indicated by a positive
exponent.
2. What is the correct scientific notation for 10000?
a. 1 x 10-4
b. 1 x 10-3
c. 1 x 103
d. 1 x 104
10,000 is the same as 104. The decimal moves 4 places to the left to make a number in the
ones place. Because this is a large number (greater than 1) this is indicated by a positive
exponent.
3. What is the meaning of 4.32 X 10-2 ?
a. 0.00432
b. 432
c. 0.432
d. 0.032
This will be a small number due to the negative exponent, so we will move the decimal to
the left to show that the number is less than one. We will move it two spaces because the
exponent is -2. Moving the decimal of 4.32 two places to the left will give 0.0432. In double
checking this answer, we would need to move the decimal two places to the right to yield
4.32 x 10-2 so this answer makes sense.
4. What is the meaning of 4.32 x 103?
a. 432
b. 4320
c. 0.00432
d. 0.0432
This will be a large number due to the negative exponent, so we will move the decimal to
the left to show that the number is less than one. We will move it two spaces because the
exponent is -2. Moving the decimal of 4.32 two places to the left will give 0.0432. In double
,checking this answer, we would need to move the decimal two places to the right to yield
4.32 x 10-2 so this answer makes sense.
5. Arrange the following values from smallest (top) to largest (bottom)
a. 10-5
b. 101
c. 1
d. 106
e. 10-2
f. 104
g. 10-3
10-5 is the smallest, and moving to largest with 10-3, 10-2, 1, 101, 104, and the largest at 106.
6. Select the appropriate value for each part of the equation.
12 inches will go on top, and 1 foot will go on the bottom. These two values are equal, so we
can write them as a fraction.
7. Is the measurement quantitative or qualitative?
Quantitative --- That shirt is orange, That object is beautiful, The patient’s pain level is 5
Qualitative --- The patient weighs 150 lbs, The patient’s fever is 38.1 C
Patient weight and temperature are both quantitative measurements, while pain level,
color, and qualities (beautiful) are qualitative measurements.
8. Determine if the measurement is metric or English.
Metric --- The patient is 130 centimeters tall, Walk 500 meters, Add 25 g of salt,
English --- The patient weighs 150 pounds, Walk 500 miles, Add one cup of sugar to the
solution
Centimeters, grams, and meters are all metric measurements, while pounds, cups, and
miles are English measurements.
, 9. Match the unit to the measurements.
Length --- Feet, Meters
Volume ---Liters, Cups
Weight/Mass ---Pounds, Grams
Meters and feet both measure length, liters and cups measure volume, and pounds and
grams measure weight or mass.
10. Solutions A, B, and C are combined in the same cup and form layers as shown, with
solution A on the top, solution B in the middle, and solution C on the bottom. Use the
dropdown list to choose the density category of solutions A, B, and C.
Solution C is the most dense because it sinks to the bottom. Higher density solutions will
sink, whereas less dense solutions will float.
11. Calculate the density of solution A if its mass is 10 grams and its volume is 15 mL.
a. 150 g/mL
b. 1.5 g/mL
c. 1.0 g/mL
d. 25 g/mL
e. 0.67 g/mL
Following the formula for density as the mass in grams divided by the volume in mL, we
divide 10 g by 15 mL to calculate the density as 0.67 g/mL
12. Would would have the most mass, and consequently the higher value: an ounce of
gold, a pound of gold, or a kilogram of gold?
a. pound of gold
b. ounce of gold
c. kilogram of gold
13. How many inches are in 1.3 yards?
a. 0.0361 inches
b. 130 inches
c. 46.8 inches
d. 13 inches
There are 12 inches in 1 foot, and 3 feet in 1 yard. Therefore, there are 36 inches in 1 yard.
These conversion can both be used in a ladder, or using only 36 inches = 1 yard.
Multiplying 1.3 yards by 36 inches / 1 yard is 46.8 inches.
