Convert the following masses to grams: 1. 4 kg 740 g = ? g 2. 5 kg 123 g = ? g 3. 3 kg 40 g = ? g
Understand the Problem
The question asks to convert masses given in kilograms (kg) and grams (g) into grams (g). This involves understanding the conversion factor between kilograms and grams, where 1 kg = 1000 g. We need to apply this conversion to the kg portion and then add the existing grams to find the total mass in grams. There are three questions to answer.
Answer
4 kg 740 g = $4740$ g 5 kg 123 g = $5123$ g 3 kg 40 g = $3040$ g
Answer for screen readers
4 kg 740 g = $4740$ g 5 kg 123 g = $5123$ g 3 kg 40 g = $3040$ g
Steps to Solve
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Convert 4 kg to grams Since 1 kg = 1000 g, then 4 kg = 4 * 1000 g $$ 4 \text{ kg} = 4 \times 1000 \text{ g} = 4000 \text{ g} $$
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Add the remaining grams Add the 740 g to the converted value. $$ 4000 \text{ g} + 740 \text{ g} = 4740 \text{ g} $$
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Convert 5 kg to grams Since 1 kg = 1000 g, then 5 kg = 5 * 1000 g $$ 5 \text{ kg} = 5 \times 1000 \text{ g} = 5000 \text{ g} $$
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Add the remaining grams Add the 123 g to the converted value. $$ 5000 \text{ g} + 123 \text{ g} = 5123 \text{ g} $$
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Convert 3 kg to grams Since 1 kg = 1000 g, then 3 kg = 3 * 1000 g $$ 3 \text{ kg} = 3 \times 1000 \text{ g} = 3000 \text{ g} $$
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Add the remaining grams Add the 40 g to the converted value. $$ 3000 \text{ g} + 40 \text{ g} = 3040 \text{ g} $$
4 kg 740 g = $4740$ g 5 kg 123 g = $5123$ g 3 kg 40 g = $3040$ g
More Information
The kilogram (kg) is the base unit of mass in the International System of Units (SI). The gram (g) is a unit of mass in the metric system, defined as one thousandth of a kilogram. Therefore, converting between kilograms and grams involves multiplying or dividing by 1000.
Tips
A common mistake is forgetting to convert the kilograms to grams before adding the remaining grams. Another mistake is performing the multiplication or addition incorrectly.
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