Quick Conversions
Proportions
Math Theory
Math Detectives
Conversions situations
100

Convert 1 kg to grams.

1000

100

A car travels 150 km using 10 L of fuel. How many liters are needed to travel 300 km at the same rate?

20L

100

When converting meters to centimeters, do we multiply or divide?

Multiply

100

Emma says 4.5 m = 450 cm. Is she correct? Explain.

Yes. 4.5 × 100 = 450 cm.

100

A bottle contains 2.4 L of juice. How many full glasses of 300 mL can be filled?

8

200

Convert 3.25 L to milliliters.

3250

200

A recipe uses 200 g of flour for 4 cookies. How much flour is needed for 12 cookies?

600g

200

When converting grams to kilograms, do we multiply or divide?

Divide

200

A student says 2 kg + 500 g = 2,500 kg. Identify the mistake and give the correct answer in kilograms.

The correct answer is 2.5 kg.

200

A bag weighs 3.5 kg. If 850 g is removed, how much does the bag weigh in grams?

2,650 g

300

Convert 485 cm to meters.

4.85

300

A recipe for 5 people requires 750 mL of milk. If you want to prepare the same recipe for 8 people, how many milliliters of milk will you need?

1,200 mL.

300

When adding 2 m and 50 cm, what must we do first?

Convert both measurements to the same unit.

300

A student converts 1.8 kg to 180 g. Explain the error and give the correct conversion.

1,800 g; multiply by 1,000.

300

A runner completes 1.25 km and then 750 m. What is the total distance in meters?

2,000m

400

750 mL + 250 mL = ____ L

1L

400

Five meters of ribbon cost $12,000. How much do 8 meters cost at the same rate?

19,200

400

What is the difference between mass and capacity?

Mass measures how much matter an object has, while capacity measures how much a container can hold.

400

If 2.5 kg of apples cost $10,000, then 4 kg of apples will cost $16,000. However, 4 kg is equal to 400 g."Is Daniel completely correct?

His proportion is correct: 4 kg cost $16,000. However, his conversion is incorrect. 4 kg = 4,000 g, not 400 g.

400

A rectangular garden is 2.5 m long and 180 cm wide. Find its perimeter in centimeters.

860 cm

500

1.2 kg + 800 g = ____ kg.

2kg

500

The ratio of flour to sugar is 5:2. If a recipe uses 750 g of flour, how many grams of sugar are needed?

300 g

500

Before solving a proportion involving meters and centimeters, what should we check?

That the units are compatible and correctly converted.

500

A student says that 2.4 L + 650 mL = 2,465 mL. Explain the mistake and give the correct answer in milliliters.

The correct answer is 3,050 mL. The student converted 2.4 L incorrectly; it equals 2,400 mL.

500

Three liters of paint cover 24 m². How many liters are needed to cover 40 m² at the same rate?

5L

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