Reasonable Measurements
Significant Digits
Scientific Notation
Measurement Comparison
100

The length of your leg is about 1 of this unit of measure

1 meter

100

How many significant digits in the number 342 cm?

3

100

Write the following in Scientific Notation:  564 m

5.64 x 102 m

100

Put in order from Smallest to Largest:

2000 mm

120 cm

3.4 m

Smallest to Largest:

120 cm < 2000 mm < 3.4 m

200

The thinnest side of a cell phone is about 1 of this measurement

1 cm

200

How many significant digits in the number 1056 m?

4

200

Write the following in Scientific Notation:  0.681 cm

6.81 x 10-1 cm

200

Which is larger?

540 cm   OR    8.0 meters

8 meters!

300

The thinnest side of a paperclip is about one of this measurement

1 mm (millimeter)

300

a) How many significant digits in the number 543.02 mm?

b) If you switched the positions of the position of the and so that the number is now 543.20, would the number of Significant digits change? 

a) 5 significant digits

b) No, it would still be 5 significant digits.  0's after the decimal point indicate that you measured to another level of precision, so there would still be 5 significant digits.

300

Write the following in Standard Notation:  6.83 x 103 m

6830 m

300

2 part question:

5400 mm               630.00 cm

a) Which measurement is larger?

b) Which measurement has more significant digits?

a) 630.00 cm is larger; 5400 mm is equal to 540 cm since it takes 10 mm to make 1 cm.

b) 630.00 cm also has more significant digits (5), which is more than the 2 significant digits in 5400 mm.

400

You take a walk around the perimeter of the Sycamore school parking lots.  Your friend claims, "I think we walked about 1050 meters."   Is that a legitimate guess?

YES.  When we went for a walk around the school, it was about 1 km, which is 1000 m, so 1050 meters is a really good guess.  Good job, friend!

400

How many significant digits in the number 450.0 mm?

4

In this case, both zeroes are showing a level of precision.  The first shows there were 450 mm, and the 2nd shows that there were no tenths of a mm.
400

Write the following in Scientific notation:  0.0086 km

8.6 x 10-3 km

400

Your friend drives 50 km in 20 minutes.

A horse runs 4000 m in 250 seconds.

Who moves faster?  SHOW YOUR WORK!

The friend drives 50 km, which is 50,000 m, in 20 minutes, which is equal to 1200 s.

50,000 m/1200 s = 41.7 m/s

The horse runs 4000m in 250 s.

4000m / 250 s = 16 m/s

The Friend's car is faster than the horse.

500

Your friend measures the height of the doorway in our classroom.  Which is the most reasonable measurement?

- 350 cm

- 3.2 m

- 2200 mm

2200 mm  (that's 2.2 meters, which is around 7 feet)

500

How many significant digits in the number 0.003420 cm?

3

500

Write the following in Scientific Notation with the correct number of Significant digits:  846.00 m

8.4600 x 102 m

*There are 5 significant digits in 846.00 m.  The two zeroes show that you were able to measure to the tenths and hundredths places of accuracy.

500

520 cm, 4400 mm, 8.1 m

Put in order from Smallest to Largest

**Prove your answer by converting all 3 measurements to meters so it is easier to compare.

4400 mm < 520 cm < 8.1 m

520 cm = 5.2 m

4400 mm = 4.4 m

8.1 m = 8.1 m

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