Question

Oliver has 5 pieces of string that are each4 2/12 feet long. Destiny has 4 pieces of string that are each5 14/16 feet long. Use an estimation strategy to determine who has the most string. Choose the name and number to complete the statement.Oliver is estimated to have more feet of string or Destiny?Right your estimate on a whole number form from 0 to 10

Answer 1

We need to estimate the amount of string that Oliver and Destiny have.

We know Oliver has 5 pieces of string that are each 4 2/12 feet long. We can write it, in feet, as:

`5\cdot(4(2)/(12))=5\cdot(4+(2)/(12))=5\cdot4+5\cdot(2)/(12)=20+(10)/(12)`

Now, we can estimate the value 10/12 by rounding the numerator and the denominator, each, to the nearest ten:

`(10)/(12)\cong(10)/(10)=1`

Thus, Oliver is estimated to have 21 feet of string.

Now, Destiny has 4 pieces of string that are each 5 14/16 feet long. We can write it, in feet, as:

`4\cdot(5(14)/(16))=4\cdot(5+(14)/(16))=4\cdot5+4\cdot(14)/(16)=20+(56)/(16)`

Then, we can estimate the value 56/16 by rounding the numerator and the denominator, each, to the nearest ten:

`(56)/(16)\cong(60)/(20)=3`

Thus, Destiny is estimated to have 23 feet of string.

Notice that:

`23>21`

Therefore, Destiny is estimated to have more feet of string.