How would you regroup the decimal number 0.205?a)0.2 + 0.01 + 0.005b)0...
Understanding Decimal RegroupingWhen regrouping decimal numbers, we break them down into sums of simpler decimal components that add up to the original number. In this case, we need to analyze the decimal number 0.205 and see how we can express it using different combinations.
Analyzing 0.205The decimal 0.205 can be understood in terms of its parts:
- The digit '2' is in the tenths place, representing 0.2.
- The digit '0' is in the hundredths place, which contributes nothing.
- The digit '5' is in the thousandths place, representing 0.005.
Thus, we can represent 0.205 as:
- 0.2 (tenths) + 0.005 (thousandths).
Evaluating the OptionsNow let’s examine the provided options:
- a) 0.2 + 0.01 + 0.005: This totals 0.215, which is greater than 0.205.
- b) 0.2 + 0.03 + 0.005: This totals 0.235, also greater than 0.205.
- c) 0.2 + 0.05: This totals 0.25, greater than 0.205.
- d) 0.25 + 0.005: This totals 0.255, greater than 0.205.
Correct Answer: Option 'C'Upon reviewing the options, it is clear that option 'C' does not correctly add to 0.205. The correct breakdown we established is:
- 0.2 + 0.005 = 0.205.
Therefore, the correct regrouping of the decimal number 0.205 is indeed best represented by the first part, 0.2, and the thousandths part, 0.005.
In conclusion, the error in labeling option 'C' as correct was misinterpretation. The accurate regrouping of 0.205 should focus on its decimal parts as discussed.