Question
Find the greatest digit that will make each sentence true 3651>36 1
Answers
GPT-4o mini
To find the greatest digit that will make the sentence "3651 > 36 1" true, we need to understand what is being asked.
The expression "36 1" seems incomplete due to the space. It's possible that it means "361" or "36 and 1."
Assuming the intention is to treat "36 1" as two separate numbers (36 and 1) and your aim is to replace the space in "361" with a digit (denoted as "D"), we can consider "36D1" where D is the digit we are trying to find.
The inequality we need to examine is:
\[ 3651 > 36D1 \]
This can be expanded:
- \( 3651 \) is a fixed number.
- \( 36D1 \) represents a number where D can be any digit from 0 to 9.
Now let's determine the possible values for D:
1. For \( D = 0 \):
- \( 3601 \) → \( 3651 > 3601\) is true.
2. For \( D = 1 \):
- \( 3611 \) → \( 3651 > 3611\) is true.
3. For \( D = 2 \):
- \( 3621 \) → \( 3651 > 3621\) is true.
4. For \( D = 3 \):
- \( 3631 \) → \( 3651 > 3631\) is true.
5. For \( D = 4 \):
- \( 3641 \) → \( 3651 > 3641\) is true.
6. For \( D = 5 \):
- \( 3651 \) → \( 3651 > 3651\) is false.
7. For \( D = 6 \):
- \( 3661 \) → \( 3651 > 3661\) is false.
8. For \( D = 7 \):
- \( 3671 \) → \( 3651 > 3671\) is false.
9. For \( D = 8 \):
- \( 3681 \) → \( 3651 > 3681\) is false.
10. For \( D = 9 \):
- \( 3691 \) → \( 3651 > 3691\) is false.
From this analysis, the greatest digit \( D \) that satisfies the inequality \( 3651 > 36D1 \) is \( 4 \), since that gives \( 3641 \), which is still less than \( 3651 \).
Thus, the answer is **4**.
The expression "36 1" seems incomplete due to the space. It's possible that it means "361" or "36 and 1."
Assuming the intention is to treat "36 1" as two separate numbers (36 and 1) and your aim is to replace the space in "361" with a digit (denoted as "D"), we can consider "36D1" where D is the digit we are trying to find.
The inequality we need to examine is:
\[ 3651 > 36D1 \]
This can be expanded:
- \( 3651 \) is a fixed number.
- \( 36D1 \) represents a number where D can be any digit from 0 to 9.
Now let's determine the possible values for D:
1. For \( D = 0 \):
- \( 3601 \) → \( 3651 > 3601\) is true.
2. For \( D = 1 \):
- \( 3611 \) → \( 3651 > 3611\) is true.
3. For \( D = 2 \):
- \( 3621 \) → \( 3651 > 3621\) is true.
4. For \( D = 3 \):
- \( 3631 \) → \( 3651 > 3631\) is true.
5. For \( D = 4 \):
- \( 3641 \) → \( 3651 > 3641\) is true.
6. For \( D = 5 \):
- \( 3651 \) → \( 3651 > 3651\) is false.
7. For \( D = 6 \):
- \( 3661 \) → \( 3651 > 3661\) is false.
8. For \( D = 7 \):
- \( 3671 \) → \( 3651 > 3671\) is false.
9. For \( D = 8 \):
- \( 3681 \) → \( 3651 > 3681\) is false.
10. For \( D = 9 \):
- \( 3691 \) → \( 3651 > 3691\) is false.
From this analysis, the greatest digit \( D \) that satisfies the inequality \( 3651 > 36D1 \) is \( 4 \), since that gives \( 3641 \), which is still less than \( 3651 \).
Thus, the answer is **4**.