Compare the relationships of these numbers: 0.045 is ______ to 0.054.

Rationale

0.045 is less than 0.054.

When comparing the two decimal numbers, 0.045 is indeed smaller than 0.054, as indicated by their place values. The digits in the hundredths and thousandths places confirm that 0.045 is less than 0.054.

A (less than) CORRECT

This choice accurately reflects the comparison, as 0.045 is numerically smaller than 0.054. In decimal notation, 0.045 has a value of 45 thousandths, while 0.054 has a value of 54 thousandths, confirming that 0.045 is indeed less than 0.054.

B (greater than) YOUR ANSWER

This option is incorrect because it suggests that 0.045 is larger than 0.054. Comparing the two values shows that 0.045 is smaller, thus disproving the relationship stated in this choice.

C (equal to) YOUR ANSWER

This choice is also inaccurate, as it asserts that 0.045 and 0.054 are the same value. A direct comparison reveals that they are different; 0.045 is clearly less than 0.054, making this choice invalid.

D (not comparable) YOUR ANSWER

This option suggests that the two numbers cannot be compared, which is incorrect. Both numbers can be directly compared due to their decimal representation, allowing us to determine which is larger or smaller.

Conclusion

In conclusion, the correct relationship between 0.045 and 0.054 is that 0.045 is less than 0.054. This comparison is straightforward, with 0.045 clearly having a smaller value than 0.054. The other options either misrepresent the relationship or imply an inability to compare the two values, which is not the case.

Compare the relationships of these numbers: 0.045 is ______ to 0.054.

0.045 is less than 0.054.

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