Question

convert each of the measurements given to the new unit stated using the factor - label method (dimensional analysis). show all work including rewriting the given.
one - step conversions:

1. 26 cm to m.
2. 4 hr to min
3. 3.25 km to m
4. 5 ft to in
5. 130 lb to n
6. 130 lb to kg
7. 44 fl. oz. to ml

multi - step conversions:

1. 26 cm to ft.
2. 16 lb to g
3. 1 yr to s
4. 3.5 mi to km

Explanation:

One - step conversions:

1. Convert 26 cm to m

We know that 1 m = 100 cm. To convert cm to m, we divide by 100.
$26\ cm\times\frac{1\ m}{100\ cm}=0.26\ m$

2. Convert 4 hr to min

Since 1 hr = 60 min, we multiply the number of hours by 60.
$4\ hr\times\frac{60\ min}{1\ hr}=240\ min$

3. Convert 3.25 km to m

Given 1 km = 1000 m, we multiply the number of kilometers by 1000.
$3.25\ km\times\frac{1000\ m}{1\ km}=3250\ m$

4. Convert 5 ft to in

As 1 ft = 12 in, we multiply the number of feet by 12.
$5\ ft\times\frac{12\ in}{1\ ft}=60\ in$

5. Convert 130 lb to N

We know that 1 lb = 4.44822 N. So we multiply the number of pounds by 4.44822.
$130\ lb\times\frac{4.44822\ N}{1\ lb}\approx578.27\ N$

6. Convert 130 lb to kg

Since 1 lb = 0.453592 kg, we multiply the number of pounds by 0.453592.
$130\ lb\times\frac{0.453592\ kg}{1\ lb}\approx58.97\ kg$

7. Convert 44 fl. oz to mL

We know that 1 fl. oz = 29.5735 mL. So we multiply the number of fluid - ounces by 29.5735.
$44\ fl. oz\times\frac{29.5735\ mL}{1\ fl. oz}\approx1301.23\ mL$

Multi - step conversions:

1. Convert 26 cm to ft

First, convert cm to in. Since 1 in = 2.54 cm, then $26\ cm\times\frac{1\ in}{2.54\ cm}\approx10.24\ in$.
Then convert in to ft. Since 1 ft = 12 in, then $10.24\ in\times\frac{1\ ft}{12\ in}\approx0.85\ ft$

2. Convert 16 lb to g

First, convert lb to kg. Since 1 lb = 0.453592 kg, then $16\ lb\times\frac{0.453592\ kg}{1\ lb}=7.25747\ kg$.
Then convert kg to g. Since 1 kg = 1000 g, then $7.25747\ kg\times\frac{1000\ g}{1\ kg}=7257.47\ g$

3. Convert 1 yr to s

1 yr = 365 days (ignoring leap - years for simplicity). 1 day = 24 hr, 1 hr = 60 min, 1 min = 60 s.
$1\ yr\times\frac{365\ days}{1\ yr}\times\frac{24\ hr}{1\ day}\times\frac{60\ min}{1\ hr}\times\frac{60\ s}{1\ min}=31536000\ s$

4. Convert 3.5 mi to km

We know that 1 mi = 1.60934 km.
$3.5\ mi\times\frac{1.60934\ km}{1\ mi}=5.63269\ km$

Answer:

1. 0.26 m
2. 240 min
3. 3250 m
4. 60 in
5. 578.27 N
6. 58.97 kg
7. 1301.23 mL

Multi - step conversions:

1. 0.85 ft
2. 7257.47 g
3. 31536000 s
4. 5.63 km