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Convert the following into grams:
$23kg$ $13g$
A.$23,130g$
B.$2,313g$
C.$23,013g$
D.$213g$

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Last updated date: 20th Jun 2024
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Answer
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Hint: We know that gram and kilogram are the units of mass. But why do we need different units for the same quantity? The answer is simple, for heavier mass the bigger unit is better suited and for lighter mass, smaller unit is suited. All we need to know is the conversion from one unit to the other.

Complete step-by-step answer:
Gram is loosely defined as the mass of one cubic centimeter of water at its maximum density. This unit is used to measure mass. Gram is SI unit of mass.
Kilogram is a much bigger quantity to measure mass. Kilo gram comes under the category of CGS unitary system. There are units to measure the mass, for example: tons, lbs., ounces, etc.
Over here, we need to convert $23kg$ and $13g$ to grams only.
For this conversion, we need a scale to convert kilograms to grams. So, by the definition of kilo:
$kilo=1000$ .
Hence, $1kg=1000g$ . - (1)
Therefore, multiplying $23$ in the equation – (1), we get:
$23\left( 1kg=1000g \right)$
$\Rightarrow 23kg=23000g$
Therefore, $23kg$ $13g$$=23000g+13g$
$=23,013g$
Hence, $23kg$ $13g$ is equivalent to $23,013g$ .
Therefore, option C. $23,013g$ is the correct option.

Note: We must always remember the correct conversion scale in the conversion from one unit to the other. We must be very careful in writing the conversion scale, and not to confuse conversion scale with some other scale. Different units are used to measure different amounts of quantities. For length, two very different units are Kilometers and Miles.