Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

round off 0.00247 l to three significant figures.

Question

round off 0.00247 l to three significant figures.

Explanation:

Step1: Identify significant figures

Non - zero digits are always significant. In 0.00247, the significant figures are 2, 4, and 7.

Step2: Apply rounding rule

We want three significant figures. The digit after the third significant figure (7) is not relevant for the leading zeros. Since there are no further digits to consider for rounding up or down in terms of the significant - figure count we are aiming for, the number 0.00247 rounded to three significant figures remains 0.00247. But if we assume there was a digit after 7 that affects rounding, and since there is no such digit here, the number remains as it is in terms of significant - figure representation among the options. The correct rounded value to three significant figures is 0.00247. Among the given options, the closest correct one considering significant figures rules is 0.00247 which is not listed exactly, but if we assume some small errors in options and the general concept of significant figures, the correct value should be closest to the original number with correct significant - figure count. The correct option is 0.00247 which is not present, but if we consider the rules strictly and the closest option in terms of significant figures and the nature of the number, we note that leading zeros are not significant. So the number 0.00247 rounded to three significant figures is 0.00247. If we assume some mis - typing in options and go by the rules, we can see that we need to keep the non - zero digits and their correct count. The answer should be a number with three non - zero significant digits and the correct decimal placement. The closest option is 0.00247 which is not there, but if we consider the rules, we know that for a number like 0.00247, the significant figures are 2, 4, 7 and rounding to three significant figures keeps it as 0.00247. Since it's not in options, we note that the correct value based on rules is 0.00247. Among the options, the closest in terms of significant - figure concept and decimal placement is 0.00247 (not present), but if we consider the rules, we can analyze the options. Option A (0.00243 L) is incorrect as it changes the value too much. Option B (0.00242 L) is also incorrect. Option C (243 L) is a huge change in magnitude. Option D (0.0024 L) has only two non - zero significant figures. Option E (0.002 L) has only one non - zero significant figure. There seems to be an error in options as the correct rounded value 0.00247 L is not present. But if we assume the closest in terms of significant - figure concept and value, we would say the number should be 0.00247 L.

Answer:

There is an error in options as the correct value 0.00247 L (rounded to three significant figures of 0.00247 L) is not present.