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a) An object has a mass of 15 ,000 kilograms. Which unit is a more sensible unit to measure its mass: grams or tonnes? b) An object has a mass of 0.03 kilograms. Which unit is a more sensible unit to measure its mass: grams or tonnes?

Question

a) An object has a mass of 15 ,000 kilograms.
Which unit is a more sensible unit to measure its
mass: grams or tonnes?
b) An object has a mass of 0.03 kilograms.
Which unit is a more sensible unit to measure its
mass: grams or tonnes?

a) An object has a mass of 15 ,000 kilograms. Which unit is a more sensible unit to measure its mass: grams or tonnes? b) An object has a mass of 0.03 kilograms. Which unit is a more sensible unit to measure its mass: grams or tonnes?

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FrancescaElite · Tutor for 8 years

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<p> a) tonnes. b) grams.</p>

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<p> A key part of solving these problems involves understanding the different units for writing the mass. In this problem we use two mass units apart from the kilogram. <br /> 1) "grams": A gram is a small amount of mass (1000 grams = 1 kilogram).<br /> 2) "tonnes": A tonne is a large mass unit often used for heavy things (1 ton = 1000 kilograms).<br /> a) First evaluate 15,000 kilograms in both units: in grams (multiplying by 1000) and in tonnes (dividing by 1000). In comparing both results, it's evident that A tonne gives a cleaner number (15T). Writing this mass in grams gives an unwieldy number (i.e., a large figure that is not convenient for real use). Thus, using 'tonnes' seems more sensible.<br /> b) Conversely, .03 kilograms translates to 30 grams or .00003 tonnes. Given these values, it's clear that 'grams' provides a more immediate and meaningful numeral for everyday dealings, while 'tonnes' offers an underwhelming value that’s feels substandard for practical use.</p>
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