English/Metric Conversion Worksheet with 11 problems for converting measurements between units.

Let's solve each problem step by step using standard English-to-Metric and Metric-to-English conversion factors. I'll include all steps, round to appropriate significant digits, and label answers with correct units.

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1. A desk measures 42 inches long. How many meters is that?

Step 1: Convert inches to centimeters
1 inch = 2.54 cm
So:
42 in × 2.54 cm/in = 106.68 cm

Step 2: Convert centimeters to meters
1 m = 100 cm
106.68 cm ÷ 100 = 1.0668 m

Round to 2 significant digits (since 42 has 2 sig figs):
→ 1.1 m

✔ Answer: 1.1 meters

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2. A newborn baby weighs 7.5 lbs. How many grams is that?

Step 1: Convert pounds to kilograms
1 lb = 0.45359237 kg
7.5 lb × 0.45359237 kg/lb = 3.401942775 kg

Step 2: Convert kilograms to grams
1 kg = 1000 g
3.401942775 kg × 1000 = 3401.942775 g

Round to 2 significant digits (7.5 has 2 sig figs):
→ 3.4 × 10³ g

✔ Answer: 3.4 × 10³ grams

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3. I bought 4 quarts of milk at the store. How many mL is that?

Step 1: Convert quarts to liters
1 quart ≈ 0.946353 L
4 qt × 0.946353 L/qt = 3.785412 L

Step 2: Convert liters to milliliters
1 L = 1000 mL
3.785412 L × 1000 = 3785.412 mL

Round to 1 significant digit? Wait — 4 has 1 sig fig? No — 4 is exact (count), so we use 4 as precise. But 4 quarts may be considered exact. So we keep 4 sig figs from conversion.

But since 4 is an exact number, we go by precision of conversion factor. However, typically we treat 4 as exact → answer should reflect precision of conversion.

Better: Use 4 quarts × 946.353 mL/qt = 3785.412 mL → Round to nearest whole number?

But let's use standard conversion:

Standard: 1 US quart = 946.35 mL

So:
4 × 946.35 = 3785.4 mL

→ Round to 3790 mL if rounding to 3 sig figs? But 4 has 1 sig fig? No — 4 is exact (you bought exactly 4 quarts). So we can report with 4 sig figs.

But in practice, often rounded to nearest 10 mL.

→ 3790 mL (rounded to 3 sig figs)

Wait: 4 quarts → exact value, so use full precision.

But for this level, use:

4 qt × 946 mL/qt = 3784 mL → Round to 3780 mL (3 sig figs)

Actually, better to use:

4 × 946.35 = 3785.4 mL → 3.79 × 10³ mL (3 sig figs)

✔ Answer: 3.79 × 10³ mL

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4. We have 3.0 liters of hydrochloric acid in stock. How many quarts do we have?

Step 1: Convert liters to quarts
1 liter ≈ 1.056688 quarts
3.0 L × 1.056688 qt/L = 3.170064 qt

Round to 2 sig figs (3.0 has 2 sig figs):
→ 3.2 quarts

✔ Answer: 3.2 quarts

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5. There are 100 yards on a football field. How many meters is that?

Step 1: Convert yards to feet
1 yard = 3 ft → 100 yd × 3 = 300 ft

Step 2: Convert feet to meters
1 ft = 0.3048 m
300 ft × 0.3048 m/ft = 91.44 m

Round to 3 sig figs (100 has 1 or 3? 100 could be ambiguous, but in context, likely exact or 3 sig figs)

Since 100 yards is a standard measurement, assume it's exact → answer is 91.4 m (3 sig figs)

✔ Answer: 91.4 meters

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6. What mass in kg does a 50-pound bag of dog food have?

Step 1: Convert pounds to kilograms
1 lb = 0.45359237 kg
50 lb × 0.45359237 kg/lb = 22.6796185 kg

Round to 2 sig figs (50 has 2 sig figs):
→ 23 kg

✔ Answer: 23 kg

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7. How many grams does a 122 lb person weigh?

Step 1: Convert pounds to kilograms
122 lb × 0.45359237 kg/lb = 55.33827814 kg

Step 2: Convert kg to grams
55.33827814 kg × 1000 = 55,338.27814 g

Round to 3 sig figs (122 has 3 sig figs):
→ 5.53 × 10⁴ g

✔ Answer: 5.53 × 10⁴ grams

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8. How many inches is 35 meters?

Step 1: Convert meters to feet
1 m = 3.28084 ft
35 m × 3.28084 ft/m = 114.8294 ft

Step 2: Convert feet to inches
1 ft = 12 in
114.8294 ft × 12 = 1377.9528 in

Round to 2 sig figs? 35 has 2 sig figs → 1.4 × 10³ in

Wait: 35 has 2 sig figs → so answer should have 2 sig figs.

1377.9528 → 1400 inches? But 1.4 × 10³ in

Yes.

✔ Answer: 1.4 × 10³ inches

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9. How many ounces are in a bottle of 950 mL of bleach?

Step 1: Convert mL to fluid ounces
1 mL ≈ 0.033814 fl oz
950 mL × 0.033814 fl oz/mL = 32.1233 fl oz

Round to 3 sig figs (950 has 2 or 3? 950 has 2 sig figs if no decimal, but often treated as 3)

Assuming 950 has 2 sig figs → round to 32 fl oz

But 950 mL → likely 3 sig figs (if written as 950., then 3; without decimal, ambiguous)

In context, probably 3 sig figs.

So: 32.1 fl oz → 32.1 fl oz

✔ Answer: 32.1 fluid ounces

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10. How many inches in 56.9 cm?

Step 1: Convert cm to inches
1 inch = 2.54 cm
So:
56.9 cm ÷ 2.54 cm/in = 22.4015748 in

Round to 3 sig figs (56.9 has 3 sig figs):
→ 22.4 inches

✔ Answer: 22.4 inches

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11. How many meters is 89 ft?

Step 1: Convert feet to meters
1 ft = 0.3048 m
89 ft × 0.3048 m/ft = 27.1572 m

Round to 2 sig figs (89 has 2 sig figs):
→ 27 meters

✔ Answer: 27 meters

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 1.1 m |
| 2 | 3.4 × 10³ g |
| 3 | 3.79 × 10³ mL |
| 4 | 3.2 qt |
| 5 | 91.4 m |
| 6 | 23 kg |
| 7 | 5.53 × 10⁴ g |
| 8 | 1.4 × 10³ in |
| 9 | 32.1 fl oz |
| 10 | 22.4 in |
| 11 | 27 m |

All answers are rounded appropriately based on significant figures and labeled with correct units.