Convert 3.21 Kilograms to Grams: Metric Unit Conversion

Q: Why do I multiply by 1,000 to convert kilograms to grams?

Because there are 1,000 grams in every kilogram! When converting from a larger unit (kg) to a smaller unit (g), you need more of the smaller units, so you multiply.

Q: How do I remember which direction to move the decimal point?

Use this trick: when going from bigger to smaller units, the number gets bigger (decimal moves right). From smaller to bigger units, the number gets smaller (decimal moves left).

Q: What if I forget the conversion factor?

Remember: kilo means 1,000! A kilometer is 1,000 meters, a kilogram is 1,000 grams, and a kilowatt is 1,000 watts. The prefix 'kilo' always means multiply by 1,000.

Q: Can I just count decimal places instead of multiplying?

Yes! Moving the decimal point 3 places right is the same as multiplying by 1,000. Both methods work: $ 3.21 \rightarrow 3,210 $

Q: How do I check if my answer makes sense?

Ask yourself: Should grams be a bigger or smaller number than kilograms? Since grams are tiny, you need many more grams than kilograms for the same weight!

Metric Unit Conversion with Decimal Values

$3.21kg=?gr$

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Understand the problem

$3.21kg=?gr$

Step-by-step solution

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

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

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

Multiply $3.21$ by $1,000$ :

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

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

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

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

Final Answer

$3,210$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: 1 kilogram equals exactly 1,000 grams
Calculation Method: Multiply by 1,000: $3.21 \times 1,000 = 3,210$
Check Answer: Decimal point moves 3 places right when converting kg to g ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal left when converting kg to g = 0.00321! This makes the answer 1,000,000 times too small. Always move decimal right 3 places when converting to smaller units.

Practice Quiz

Test your knowledge with interactive questions

$$ 7kg=?gr $$

FAQ

Everything you need to know about this question

Why do I multiply by 1,000 to convert kilograms to grams?

Because there are 1,000 grams in every kilogram! When converting from a larger unit (kg) to a smaller unit (g), you need more of the smaller units, so you multiply.

How do I remember which direction to move the decimal point?

Use this trick: when going from bigger to smaller units, the number gets bigger (decimal moves right). From smaller to bigger units, the number gets smaller (decimal moves left).

What if I forget the conversion factor?

Remember: kilo means 1,000! A kilometer is 1,000 meters, a kilogram is 1,000 grams, and a kilowatt is 1,000 watts. The prefix 'kilo' always means multiply by 1,000.

Can I just count decimal places instead of multiplying?

Yes! Moving the decimal point 3 places right is the same as multiplying by 1,000. Both methods work: $3.21 \rightarrow 3,210$

How do I check if my answer makes sense?

Ask yourself: Should grams be a bigger or smaller number than kilograms? Since grams are tiny, you need many more grams than kilograms for the same weight!

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