Question

Carmen is playing draw and compare decimals with her partner. Carmen drew 4, 7, 6, 0, and 2 and has to use three of the cards to make a decimal less than 1. If they are playing for "more" what decimal should Carmen make? If they are playing for "less" what decimal should Carmen make?

Answer 1

Carmen should create the decimal 0.764 to play for 'more' and 0.246 to play for 'less', using the digits 4, 7, 6, 0, and 2 in the game to get the highest and lowest values respectively.

Step-by-step explanation:

The student, Carmen, has the digits 4, 7, 6, 0, and 2 to use in a game where she needs to make a decimal number less than 1. To play for 'more,' Carmen should create the largest decimal possible with the digits she has, which would be 0.764. The digit 7 is the largest followed by 6 and then 4, so placing them after the decimal point from left to right creates the highest value decimal.

In contrast, to play for 'less,' Carmen would want to make the smallest decimal possible. This would be 0.246, with the digits 2, 4, and 6 being placed after the decimal point in ascending order to get the smallest value decimal. It's important to remember that when dealing with decimal placement, each position to the right becomes ten times less than the digit before it, hence ordering the digits correctly is crucial for getting the maximum or minimum value as per game rules.

Answer 2

Less = 0.24

More = 0.76

Step-by-step explanation:

Given that:

Numbers drawn by Carmen :

4, 7, 6, 0, and 2

To make a decimal less than 1 from the numbers drawn:

First digit would be always be 0 since we aren't considering negative numbers

If they are playing for less; then the least 2 digits will be used in ascending order after the decimal point as;

2, 4

0.24

If they are playing for more; then the highest 2 digits will be used in descending order after the decimal point as;

7, 6

0.76