Answer :
To determine which expression has a value less than 2,175, we'll evaluate each option one by one.
1. Expression: [tex]\(\frac{1}{2} \times 2,175\)[/tex]
- Calculate: [tex]\( \frac{1}{2} \times 2,175 \)[/tex]
- This expression results in a number that is less than 2,175.
2. Expression: [tex]\(1 \times 2,175\)[/tex]
- Calculate: [tex]\( 1 \times 2,175 \)[/tex]
- This expression equals 2,175, which is not less than 2,175.
3. Expression: [tex]\(2 \times 2,175\)[/tex]
- Calculate: [tex]\( 2 \times 2,175 \)[/tex]
- This expression results in a number greater than 2,175.
4. Expression: [tex]\(\frac{2}{2} \times 2,175\)[/tex]
- Calculate: [tex]\( \frac{2}{2} \times 2,175 \)[/tex]
- This expression equals 2,175, which is not less than 2,175.
After evaluating all the expressions, the only expression that results in a value less than 2,175 is [tex]\(\frac{1}{2} \times 2,175\)[/tex].
1. Expression: [tex]\(\frac{1}{2} \times 2,175\)[/tex]
- Calculate: [tex]\( \frac{1}{2} \times 2,175 \)[/tex]
- This expression results in a number that is less than 2,175.
2. Expression: [tex]\(1 \times 2,175\)[/tex]
- Calculate: [tex]\( 1 \times 2,175 \)[/tex]
- This expression equals 2,175, which is not less than 2,175.
3. Expression: [tex]\(2 \times 2,175\)[/tex]
- Calculate: [tex]\( 2 \times 2,175 \)[/tex]
- This expression results in a number greater than 2,175.
4. Expression: [tex]\(\frac{2}{2} \times 2,175\)[/tex]
- Calculate: [tex]\( \frac{2}{2} \times 2,175 \)[/tex]
- This expression equals 2,175, which is not less than 2,175.
After evaluating all the expressions, the only expression that results in a value less than 2,175 is [tex]\(\frac{1}{2} \times 2,175\)[/tex].