Question
Isabelle, Chloe and Logan each have a different suggestion for how to round the mass shown on the scales. a) Work out what value each person would round the mass to. b) Write down an advantage or a disadvantage for each degree of accuracy. Whose do you think is the most appropriate? We should round to 3 decimal places I think we should round to the nearest gram Chloe I think we should round to the nearest kilogram 124.6315 g Logan
Answer
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(291 Votes)
Georgia
Professional · Tutor for 6 years
Answer
a) - Isabelle would round the mass to 1234.567 grams.- Chloe would round the mass to 1235 grams.- Logan would round the mass to 1 kilogram.b) - Isabelle's rounding provides a high degree of accuracy but may make calculations complex.- Chloe's rounding provides a good balance between accuracy and simplicity.- Logan's rounding simplifies calculations but may not provide enough accuracy.The most appropriate rounding depends on the context. If high accuracy is needed, Isabelle's suggestion is the most appropriate. If simplicity is more important, Logan's suggestion is the most appropriate. If a balance between accuracy and simplicity is needed, Chloe's suggestion is the most appropriate.
Explanation
## Step 1: Understanding the problemThe problem is asking us to round the mass to different degrees of accuracy as suggested by Isabelle, Chloe, and Logan. We are also asked to provide an advantage or disadvantage for each degree of accuracy and decide which is the most appropriate.## Step 2: Rounding to different degrees of accuracyLet's assume the mass shown on the scales is 1234.567 grams.### For Isabelle's suggestion:Isabelle suggests rounding to 3 decimal places. This means we look at the fourth decimal place. If it is 5 or greater, we round up. If it is less than 5, we round down. ### For Chloe's suggestion:Chloe suggests rounding to the nearest gram. This means we look at the first decimal place. If it is 5 or greater, we round up. If it is less than 5, we round down.### For Logan's suggestion:Logan suggests rounding to the nearest kilogram. Since 1 kilogram is equal to 1000 grams, this means we look at the thousands place. If the hundreds place is 5 or greater, we round up. If it is less than 5, we round down.## Step 3: Advantages and disadvantages### For Isabelle's suggestion:Advantage: Rounding to 3 decimal places provides a high degree of accuracy.Disadvantage: It may not be necessary to have such a high degree of accuracy in some cases, and it can make calculations more complex.### For Chloe's suggestion:Advantage: Rounding to the nearest gram provides a good balance between accuracy and simplicity.Disadvantage: It may still be more accuracy than needed in some cases.### For Logan's suggestion:Advantage: Rounding to the nearest kilogram simplifies calculations.Disadvantage: It may not provide enough accuracy in some cases.