Question

Rita buys different types of fruits for a fruit salad. Her costs for the fruits are $2.31, $6.45, $3, and $1.23 If she draws a Venn diagram to classify these numbers, which circle will include all of the numbers?

Answer 1

To classify the numbers $2.31, $6.45, $3, and $1.23 in a Venn diagram, we need to look at the characteristics of these numbers.

1. **Integer or Non-integer**:
- $2.31 (non-integer)
- $6.45 (non-integer)
- $3 (integer)
- $1.23 (non-integer)

2. **Whole Number or Decimal**:
- $2.31 (decimal)
- $6.45 (decimal)
- $3 (whole number)
- $1.23 (decimal)

From the above analysis, $3 is the only whole number, while the other three values are decimals.

If we are to classify these in a Venn diagram, one circle could represent the integers (which would only include $3), while another circle could represent all decimal numbers (which would include $2.31, $6.45, and $1.23).

To answer the question of which circle will include all of the numbers, we determine the circle that includes all the values $2.31, $6.45, $3, and $1.23.

Since all values are numbers, they can all be placed in a circle for "all numbers" or "real numbers." Hence, a circle representing all real numbers would include $2.31, $6.45, $3, and $1.23.

In summary, the circle that will include all of the numbers is the one that represents "all real numbers" or a similar category that encompasses all of them.