Weight Units Practice Problems - Grams, Kilograms & Tons

Master weight unit conversions with step-by-step practice problems. Convert between grams, kilograms, tons, and milligrams using real examples and solutions.

📚What You'll Master in Weight Units Practice
  • Convert kilograms to grams using multiplication by 1000
  • Transform grams to kilograms by dividing by 1000
  • Work with milligrams, grams, kilograms, and tons conversions
  • Solve real-world weight measurement problems step-by-step
  • Apply weight unit knowledge to practical everyday situations
  • Master the metric system relationships for weight measurements

Understanding Weight Units

Complete explanation with examples

Weight units allow us to quantify weight.

Units of weight to know:

A1 - Weight units

One gram is equivalent to 1000 1000 milligrams.

One kilogram is equivalent to 1000 1000 grams.

One ton is equivalent to 1000 1000 kilograms.

Detailed explanation

Practice Weight Units

Test your knowledge with 2 quizzes

\( x^2kg=?gr \)

Examples with solutions for Weight Units

Step-by-step solutions included
Exercise #1

8.6kg=?gr 8.6kg=?gr

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information and conversion factor
  • Step 2: Apply the conversion factor to obtain the result in grams

Let's work through these steps:
Step 1: We have 8.6 kg 8.6 \, \text{kg} to convert to grams. Recall that 1 kg 1 \, \text{kg} equals 1000 grams 1000 \, \text{grams} .
Step 2: Multiply the given kilograms by the conversion factor to convert to grams:
8.6 kg×1000 grams/kg=8600 grams 8.6 \, \text{kg} \times 1000 \, \text{grams/kg} = 8600 \, \text{grams}

Therefore, the solution to the problem is 8600 grams 8600 \, \text{grams} .

Answer:

8600 8600

Video Solution
Exercise #2

7kg=?gr 7kg=?gr

Step-by-Step Solution

To solve this problem of converting kilograms to grams, we will follow these steps:

  • Step 1: Identify the given weight in kilograms.
  • Step 2: Use the conversion factor 1 kg=1000 g 1 \text{ kg} = 1000 \text{ g} .
  • Step 3: Perform the necessary multiplication.

Let's go through these steps in detail:
Step 1: We have been given a weight of 7 7 kilograms.
Step 2: Recall that 1 kilogram=1000 grams 1 \text{ kilogram} = 1000 \text{ grams} .
Step 3: Multiply the number of kilograms by the conversion factor: 7 kg×1000 g/kg=7000 g 7 \text{ kg} \times 1000 \text{ g/kg} = 7000 \text{ g} This calculation confirms that 7 7 kilograms is equivalent to 7000 7000 grams.

Therefore, the solution to the problem is 7000 grams 7000 \text{ grams} .

Answer:

7000 7000

Video Solution
Exercise #3

7.8T=?kg 7.8T=?kg

Step-by-Step Solution

The letter T indicates a metric tonne,

One tonne is equivalent to one thousand kilograms,

Therefore, in 7.8 tons there are

1000*7.8 = 7800 kg

Answer:

7800 7800

Video Solution
Exercise #4

3.21kg=?gr 3.21kg=?gr

Step-by-Step Solution

To solve this problem, we will convert the weight from kilograms to grams.

We know that 1 kg=1,000 g1\, \text{kg} = 1,000\, \text{g}. Therefore, to convert the weight from kilograms to grams, we multiply the weight in kilograms by 1,000.

With the given weight 3.21 kg3.21\, \text{kg}, we perform the calculation as follows:

  • Multiply 3.213.21 by 1,0001,000:

3.21×1,000=3,210 3.21 \times 1,000 = 3,210

After performing this calculation, we find that 3.21 kg3.21 \, \text{kg} is equivalent to 3,210 g3,210\, \text{g}.

Therefore, the solution to the problem is 3,2103,210.

Comparing this result with the given multiple choice answers, the correct choice is option (3): 3,2103,210.

Answer:

3,210 3,210

Video Solution
Exercise #5

xm=?km x_m=?km

Step-by-Step Solution

In one kilometer there are 1000 meters,

therefore one meter is one-thousandth of a kilometer.

Answer:

x1000 \frac{x}{1000}

Video Solution

Frequently Asked Questions

How do you convert kilograms to grams?

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To convert kilograms to grams, multiply by 1000. For example, 2 kilograms × 1000 = 2000 grams. This works because there are exactly 1000 grams in every kilogram.

What is the easiest way to convert grams to kilograms?

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Divide the number of grams by 1000 to get kilograms. For instance, 200 grams ÷ 1000 = 0.2 kilograms. Remember: grams are smaller units, so you need 1000 of them to make 1 kilogram.

What are the main weight units in the metric system?

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The main metric weight units are: milligrams (mg), grams (g), kilograms (kg), and tons (t). Each unit is 1000 times larger than the previous: 1000 mg = 1 g, 1000 g = 1 kg, 1000 kg = 1 ton.

How many milligrams are in one gram?

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There are 1000 milligrams in one gram. To convert grams to milligrams, multiply by 1000. To convert milligrams to grams, divide by 1000.

When do you use different weight units?

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Use milligrams for very light items (medicine doses), grams for light objects (food ingredients), kilograms for heavier items (body weight, groceries), and tons for very heavy objects (cars, large animals).

What's the difference between weight and mass units?

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In everyday use, weight and mass units are the same (grams, kilograms). Technically, mass measures matter while weight measures gravitational force. For practical math problems, treat them as equivalent.

How do you remember metric weight conversions?

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Remember the pattern: each unit is 1000 times the next smaller unit. Use the acronym 'King Henry Died Grandly' for kilo-, hecto-, deca-, grams. Moving right, divide by 10; moving left, multiply by 10.

What are common mistakes in weight unit conversions?

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Common errors include: forgetting to multiply/divide by 1000, confusing which operation to use (multiply when going to smaller units, divide when going to larger units), and mixing up decimal placement.

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