Question

Tim and Tiffany are debating how to round a number. Tim suggests rounding the 6 to a 10, making the estimate 0.10. Tiffany, on the other hand, proposes long dividing up to three decimal places and then rounding to two decimal places. Show Tiffany's process correctly and then state how far apart (expressed as a decimal and a tion) the two answers are.

a) 0.167; 1/6
b) 0.167; 2/3
c) 0.333; 1/3
d) 0.333; 2/3

Answer 1

Tiffany's proposed process involves long dividing to three decimal places and then rounding to two decimal places. The two answers are 0.03 apart.

Step-by-step explanation:

Tiffany's proposed process involves long dividing the number to three decimal places and then rounding to two decimal places. Let's use an example to demonstrate this process:

Suppose we have the number 201.867. To round this number, we divide it to three decimal places:

1. Divide 201.867 by 10 to get 20.1867
2. Divide 20.1867 by 10 again to get 2.01867
3. Divide 2.01867 by 10 one more time to get 0.201867

Now, we round this result to two decimal places by considering the third decimal place, which is 1. The rule for rounding is that if the digit in the third decimal place is 5 or more, we round the previous digit up. In this case, 1 is less than 5, so we do not round up. Therefore, the rounded result is 0.20.

Comparing Tim's suggestion of rounding to 0.10 and Tiffany's rounded result of 0.20, we can see that the two answers are 0.03 apart.