Which statements about comparing two numbers are correct? Select all that apply.
(1 point)
Responses
The number with fewer digits is always smaller.
The number with fewer digits is always smaller.
The number with more digits is always smaller.
The number with more digits is always smaller.
The number with the larger number in the ones place is always greater.
The number with the larger number in the ones place is always greater.
Numbers with the same number of digits are always equal.
Numbers with the same number of digits are always equal.
Numbers with different numbers of digits are never equal.
The number with fewer digits is always smaller.
Numbers with the same number of digits are always equal.
Numbers with different numbers of digits are never equal.
only 2 answers are allowed this is wrong man
The correct statements about comparing two numbers are:
- The number with fewer digits is always smaller.
- The number with the larger number in the ones place is always greater.
- Numbers with the same number of digits are always equal.
- Numbers with different numbers of digits are never equal.
To determine which statements about comparing two numbers are correct, we will analyze each statement and check its accuracy:
1. The statement "The number with fewer digits is always smaller" is not correct. We can easily find examples where this statement doesn't hold. For instance, comparing 12 and 3, where 12 has more digits but is larger than 3.
2. The statement "The number with more digits is always smaller" is not correct either. Once again, we can find counterexamples to disprove this statement, such as comparing 3 and 12, where 12 has more digits but is greater than 3.
3. The statement "The number with the larger number in the ones place is always greater" is not correct. While having a larger digit in the ones place can be an indicator of the greater value, it is not always the case. For instance, comparing 14 and 19, where 14 has a smaller digit in the ones place but is actually smaller than 19.
4. The statement "Numbers with the same number of digits are always equal" is not true. We can find examples like 14 and 12, which both have two digits but are not equal.
5. The statement "Numbers with different numbers of digits are never equal" is also incorrect. Counterexamples, such as comparing 3 and 12, show that numbers with different numbers of digits can indeed be equal.
Therefore, the only correct statement is: "The number with the larger number in the ones place is always greater."