Question

The difference between 13 fours and 6 fours

Answer 1

Answer:

The lesson activity requires students to use up to four fours and any operation to make the numbers from 0 to 100. For example, 4 + 4 + 4 + 4 = 16.

Initially, students will use the more familiar operations, +, −, ×, ÷, along with brackets to create their equations.  For example, (4 × 4 + 4) ÷ 4 = 5. Gradually, finding solutions for the remaining numbers in the list becomes more challenging. Here, it is a good opportunity to introduce some other operations to the students, including √4 = 2 and 4! = 24. In my experience, at least one student in the class will be familiar with the square root operation √n, which will make it easier to introduce. The other operation n!, known as factorial, will be less familiar to students.

n! is the product of all positive integers less than or equal to n; for example, 4! = 4 × 3 × 2 × 1 = 24, or 3! = 3 × 2 × 1 = 6

With the introduction of these two less familiar operations, the number of solutions that students can find to the initial problem increases.

Step-by-step explanation:

Answer 2

The difference is 7 fours