1. 35cm + 8.3m + 75.341 km + 80,000 mm = ____________
2.(43.7m + 39.3cm) ÷ 25.332 m/s = _____________
* focus on significant figures
I would change all of these to km. Note that with no period after the 80,000 mm. that has only one s.f.
0.000035 km
0.0083 km
75.341 km
0.08 km
---------
75.429335 which I would round to 75.43
43.7 has only 3 s.f.
Add that to 0.393 for an answer with 3 s.f. and divide by 4 s.f. so you may have only 2 in the answer. 1.741 has 4 which is one too many.
To add and divide these quantities while considering significant figures, follow these steps:
1. Convert all measurements to a consistent unit, such as meters, to make the calculations easier.
For question 1:
- 35 cm can be converted to meters by dividing by 100: 35 cm ÷ 100 = 0.35 m.
- 8.3 m is already in meters.
- 75.341 km can be converted by multiplying by 1000: 75.341 km × 1000 = 75341 m.
- 80,000 mm can be converted to meters by dividing by 1000: 80,000 mm ÷ 1000 = 80 m.
The simplified equation becomes: 0.35 m + 8.3 m + 75341 m + 80 m = _______
For question 2:
- 43.7 m is already in meters.
- 39.3 cm can be converted to meters by dividing by 100: 39.3 cm ÷ 100 = 0.393 m.
The simplified equation becomes: (43.7 m + 0.393 m) ÷ 25.332 m/s = _______
2. Perform the addition and division calculations.
For question 1:
0.35 m + 8.3 m + 75341 m + 80 m = 75629.65 m (rounded to the least number of decimal places in the question, i.e., 2 decimal places).
For question 2:
(43.7 m + 0.393 m) ÷ 25.332 m/s = 1.724 s (rounded to the least number of decimal places in the question, i.e., 3 decimal places).
So, the answers are as follows:
1. 35cm + 8.3m + 75.341 km + 80,000 mm = 75629.65 m
2. (43.7m + 39.3cm) ÷ 25.332 m/s = 1.724 s
is # 2.(43.7m + 39.3cm) ÷ 25.332 m/s = _____________
1.741 seconds then?