Question

mat2l
name

1. use the conversion diagrams to help you answer the questions below. round to 1 decimal.

a. 150 g to oz f. 2.4 gal to l
b. 47 in to cm g. 85 lbs to kg
c. 90 oz to g h. 15 kg to lbs
d. 5.5 miles to km i. 3.8 ft to m
e. 25 l to gals j. 12 yds to m

1. identify the measurement indicated by each arrow.

a) b) c) d)
0 1

Explanation:

Step1: Unit conversion (g to oz)

Use $1\ \text{g} = 0.035274\ \text{oz}$.
$150 \times 0.035274 = 5.2911$
Round to 1 decimal: $5.3$

Step2: Unit conversion (in to cm)

Use $1\ \text{in} = 2.54\ \text{cm}$.
$47 \times 2.54 = 119.38$
Round to 1 decimal: $119.4$

Step3: Unit conversion (oz to g)

Use $1\ \text{oz} = 28.3495\ \text{g}$.
$90 \times 28.3495 = 2551.455$
Round to 1 decimal: $2551.5$

Step4: Unit conversion (miles to km)

Use $1\ \text{mile} = 1.60934\ \text{km}$.
$5.5 \times 1.60934 = 8.85137$
Round to 1 decimal: $8.9$

Step5: Unit conversion (L to gal)

Use $1\ \text{L} = 0.264172\ \text{gal}$.
$25 \times 0.264172 = 6.6043$
Round to 1 decimal: $6.6$

Step6: Unit conversion (gal to L)

Use $1\ \text{gal} = 3.78541\ \text{L}$.
$2.4 \times 3.78541 = 9.084984$
Round to 1 decimal: $9.1$

Step7: Unit conversion (lbs to kg)

Use $1\ \text{lb} = 0.453592\ \text{kg}$.
$85 \times 0.453592 = 38.55532$
Round to 1 decimal: $38.6$

Step8: Unit conversion (kg to lbs)

Use $1\ \text{kg} = 2.20462\ \text{lbs}$.
$15 \times 2.20462 = 33.0693$
Round to 1 decimal: $33.1$

Step9: Unit conversion (ft to m)

Use $1\ \text{ft} = 0.3048\ \text{m}$.
$3.8 \times 0.3048 = 1.15824$
Round to 1 decimal: $1.2$

Step10: Unit conversion (yds to m)

Use $1\ \text{yd} = 0.9144\ \text{m}$.
$12 \times 0.9144 = 10.9728$
Round to 1 decimal: $11.0$

Step11: Measure scale (a)

Scale: 0 to 1, 15 intervals. Each interval = $\frac{1}{15} \approx 0.07$. Arrow at 3rd interval: $3 \times \frac{1}{15} = 0.2$

Step12: Measure scale (b)

Arrow at 6th interval: $6 \times \frac{1}{15} = 0.4$

Step13: Measure scale (c)

Arrow at 10th interval: $10 \times \frac{1}{15} \approx 0.7$

Step14: Measure scale (d)

Arrow at 13th interval: $13 \times \frac{1}{15} \approx 0.9$

Answer:

Question 11:

a. 5.3 oz
b. 119.4 cm
c. 2551.5 g
d. 8.9 km
e. 6.6 gals
f. 9.1 L
g. 38.6 kg
h. 33.1 lbs
i. 1.2 m
j. 11.0 m

Question 12:

a. 0.2
b. 0.4
c. 0.7
d. 0.9