Final answer:
The four expressions that are equivalent to 6-2 are: 6 - 2, 6 - 1/4, 6 - 1/2, and 6 - 4. Therefore, expressions 2, 3, and 4 are equivalent to 6-2, resulting in answers of 2, 3, and 2, respectively.
Step-by-step explanation:
The four expressions that are equivalent to 6-2 are:
- 6 - 2
- 6 - 1/4
- 6 - 1/2
- 6 - 4
To determine equivalence, we can simplify each expression and see if they result in the same value.
1) 6 - 2: This is the original expression, which equals 4.
2) 6 - 1/4: To subtract fractions, we need a common denominator. Since 4 can be written as 16/4, the expression becomes 6 - 16/4. Simplifying this gives us 6 - 4, which equals 2.
3) 6 - 1/2: Again, converting the whole number 2 into a fraction with a denominator of 2, the expression becomes 6 - 3/2. Simplifying this gives us 6 - 3, which equals 3.
4) 6 - 4: This is a simple subtraction of two whole numbers, which equals 2.
Therefore, expressions 2, 3, and 4 are equivalent to 6-2, resulting in answers of 2, 3, and 2, respectively.