/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 8 Convert the given unit of weight... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Convert the given unit of weight to the unit indicated. \(0.37 \mathrm{~kg}\) to \(\mathrm{g}\)

Short Answer

Expert verified
The weight is 370 g.

Step by step solution

01

Identify the Conversion Factor

The conversion factor between kilograms and grams is known: 1 kilogram equals 1000 grams. This is due to the definition of the kilogram being the base unit of mass and the gram being a derived unit, specifically \(1 \mathrm{~kg} = 1000 \mathrm{~g}\).
02

Apply the Conversion Factor

To convert the kilograms to grams, multiply the given weight in kilograms by the conversion factor. Thus, \(0.37 \mathrm{~kg} * 1000 = 370 \mathrm{~g}\).
03

Verify the Result

To check if the result is correct, it can be reconverted back to kilograms by dividing by the conversion factor. Thus, \(370 \mathrm{~g} / 1000 = 0.37 \mathrm{~kg}\). The original and the converted values match, confirming the correctness of the conversion.

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