We want to convert the given number to a decimal. To do so, we will rewrite this number and then divide the numerator by the denominator. Let's begin by considering the given mixed number.
2 58Now we will rewrite this number as a fraction. We do this so it will be easier for us to convert it to decimal form. Let's take a look.
The mixed number 2 58 written as a fraction is equal to 218. Next, to write this number in decimal form, we need to divide the numerator, 21, by the denominator, 8. Let's do it!
Notice that after the fourth step, the remainder is 0. Because of this, we can say that 2 58 written in decimal form is a terminating decimal and is equal to 2.625.
We want to find Ariel's error. Let's see what they wrote.
2 58 = 2.58
Notice that instead of dividing the numerator by the denominator, they used the numerator, 5, as the first number after the decimal point and the denominator, 8, as the second. Looking at our solution from Part A, we can say that this is the error they likely made.
