Question

The problem 1.75 ÷ 0.25 is modeled what is the solution

Answer 1

The operation we have to solve is:

`1.75/0.25`

Step 1. The operation is not affected if we multiply both numbers by the same amount. In this case, is convenient to multiply both numbers by 100 in order to get rid of the decimal point:

`\begin{gathered} 1.75*100=175 \\ \text{and} \\ 0.25*100=25 \end{gathered}`

Thus, the division we have to make is equivalent to a new division without the decimal points:

`1.75/0.25=175/25`

Step 2. Arrange the numbers to make the division:

And then check how many times does 25 can fit into the number 175.

The answer is 7 because

`25*7=175`

We put 7 in the place of the quotient and subtract 175 to the dividend:

The remainder is 0, and thus we have finished the operation.

Answer: 7