Question

at the beginning of a lesson, a piece of chalk is 4.875 inches long. at the end of the lesson, it is 3.125 inches long. writ the two amounts in expanded form using fractiones.

Answer 1

Each digit of each amount is written in expanded form depending on the position of the digit.

Let's see number 4.875.

Digit 4 is in the place of the units so it is 4 * 1

8 is in the place of the tenths, so it is 8/10 = 8 * 1/10

7 is in the place of the hundreths, so it is 7/100 = 7 * 1 /100

5 is in the place of the thousanths, so it is 5/1000 = 5 * 1 / 1000

So, the number 4.875 written in expanded form using fractions is:

4*1 + 8 * 1/10 + 7 * 1/100 + 5 * 1/100.

Now, see the next amount, 3.125, which using the same procedure leads to:

3 *1 + 1 * 1/10 + 2 * 1/100 + 5 * 1/ 1000