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
Answer
4.1
(281 Votes)
Adam
Master · Tutor for 5 years
Answer
a) Isabelle would round the mass to 49 g, Chloe would round it to 49.1 g, and Logan would round it to 49.06 g.b) The most appropriate degree of accuracy depends on the context. For most everyday calculations, Isabelle's or Chloe's suggestion might be more appropriate. For scientific measurements where precision is crucial, Logan's suggestion might be more appropriate.
Explanation
## Step1: Let's assume that the mass shown on the scales is 49.06 g. ## Step2: Isabelle suggests rounding to the nearest whole number, Chloe suggests rounding to one decimal place, and Logan suggests rounding to two decimal places.## Step3: a) To find out what value each person would round the mass to, we need to follow their suggested rounding rules. ### For Isabelle: We round 49.06 to the nearest whole number. This means if the decimal part is 0.5 or more, we round up, and if it's less than 0.5, we round down. Here, 0.06 is less than 0.5, so we round down to 49.### For Chloe: We round 49.06 to one decimal place. The second decimal digit is 6, which is more than 5, so we round the first decimal digit up. This gives us 49.1.### For Logan: We round 49.06 to two decimal places. Since there are only two decimal places in the original number, the rounded number remains the same, i.e., 49.06.## Step4: b) Each degree of accuracy has its advantages and disadvantages. ### For Isabelle: The advantage is simplicity and ease of use in calculations. The disadvantage is the loss of precision, which might be important in certain scientific measurements.### For Chloe: The advantage is a balance between simplicity and precision. The disadvantage is that it might still not be precise enough for some measurements.### For Logan: The advantage is the highest precision. The disadvantage is that it might be unnecessarily precise for some calculations, making them more complex.