Question

1. 4.5 km * 3.00 km =
2. 9.000 kg / 3.0 kg =
3. 0.0032 m + 0.0001 m =
4. 11.00 g - 10.995 g =

answer key:

1. 2.01 m + 0.97 m = 2.98 m
2. 100.23 g - 99.99 g = 0.24 g
3. 10.1 cm * 2.0 cm = 20 cm
4. 20.00 l / 3.0 l = 6.7 l
5. 9.999 s + 0.002 s = 10.001 s
6. 5.50 m - 2.2 m = 3.3 m
7. 4.5 km * 3.00 km = 14 km
8. 9.000 kg / 3.0 kg = 3.0 kg
9. 0.0032 m + 0.0001 m = 0.0033 m
10. 11.00 g - 10.995 g = 0.01 g

accuracy and precision
fill in the blanks
scientists often make repeated measurements to ensure the
of their results.
measurements yield very similar results when repeated in the same manner.
a measurement is considered
if it yields a result that is very close to the true
or accepted value.
precise values
with each other; accurate values
with a true
value.
when
error is present, it is often possible to pinpoint the source of the error.
with
error, it is difficult if not impossible to determine the source of the error.
while ideally, data that is collected in an investigation should be both
and
data which shows
error is preferable to that which shows
error.

Explanation:

Step1: Perform multiplication for 7.

Multiply 4.5 km by 3.00 km: $4.5\times3.00 = 13.5$ km². But considering significant - figures, the answer is 14 km² (2 significant figures as 4.5 has 2 significant figures).

Step2: Perform division for 8.

Divide 9.000 kg by 3.0 kg: $\frac{9.000}{3.0}=3.0$ (2 significant figures as 3.0 has 2 significant figures).

Step3: Perform addition for 9.

Add 0.0032 m and 0.0001 m: $0.0032 + 0.0001=0.0033$ m.

Step4: Perform subtraction for 10.

Subtract 10.995 g from 11.00 g: $11.00 - 10.995 = 0.005$ g. But considering significant - figures, the answer is 0.01 g (2 significant figures).

For the fill - in - the - blanks:
Scientists often make repeated measurements to ensure the accuracy and precision of their results. Precise measurements yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or accepted value. Precise values agree closely with each other; accurate values agree closely with a true value. When a systematic error is present, it is often possible to pinpoint the source of the error. With a random error, it is difficult if not impossible to determine the source of the error. While ideally, data that is collected in an investigation should be both accurate and precise, data which shows a small amount of random error is preferable to that which shows a large amount of systematic error.

Answer:

1. 14 km²
2. 3.0
3. 0.0033 m
4. 0.01 g

Fill - in - the - blanks: accuracy, precision, precise, accurate, agree closely, agree closely, systematic, random, accurate, precise, a small amount of random, a large amount of systematic