This is an image from this resource on the Internet4Classrooms' "Fifth Grade Interactive Math Skills - Decimals" resource page: Round Decimal of the Form x.xxxx to the Nearest Thousandth. Online quiz that is self checking.
The Greeks were fascinated by the Golden Rectangle, which has the property, if you cut it in two parts so that the right part is a perfect square, then the left rectangle has side lengths in the same ratio as the original rectangle. This idea has been used throughout architecture, and it even appears in the White House. What is the ratio of the shorter side over the longer side of a Golden Rectangle, rounded to the nearest thousandth?
If you write out the multiples of π and take the floor of each term, you get the following sequence: 3, 6, 9, 12, 15, 18, 21, 25, 28, etc. Now, let’s consider the integers that aren’t in this sequence: 1, 2, 4, 5, 7, 8, … Surprisingly, there also exists a real number α such that the nth term of this sequence is the floor of αn. Find α to the nearest thousandth (3 decimals).
You know that the best way to celebrate Pi Day is to buy a 9-inch diameter pie with cherry filling in the left half and blueberry filling in the right half. You try to balance the pie on your finger by putting your finger at the center of the pie tin, but you notice the pie isn’t stable. Given that the cherry filling is twice as dense as the blueberry filling, how many inches off the center must your finger be to balance the pie? Express your answer as a decimal rounded to the nearest…