Activity Warren's tape measure is marked in increments of 16 inch, not in decimal numbers. To measure the tiles, he needs to know the side lengths to to incħ. In this activity, you will convert decimal values to fractional values and then calculate the area of the tiles. the nearest Question 1 Part A The length of tile A is about 2.23607inches, which mark on the tape measure is closest to 2.23607inches? Remember, the tape measure is marked in sixteenths of an inch.

  5.7 cm or 2 1/4 in

Step-by-step explanation:

Your tape measure is not shown.

  On my tape measure, 5.7 cm is the closest mark. On the inch scale, 2 1/4 inches is the next-closest mark.

On a tape measure graduated in 1/32 inch between 2 and 3 inches, you can find the closest mark by rounding to the nearest 32nd:

  2.23607 × 32 ≈ 71.55 ≈ 72 --- 32nds of an inch

  72/32 = 2 1/4 . . . . the closest mark on an inch ruler graduated in 32nds

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For a ruler graduated in millimeters, you can find the closest millimeter in the same way. There are 25.4 mm to the inch.

  2.23607 in × 25.4 mm/in ≈ 56.80 mm ≈ 57 mm

  57 mm = 5.7 cm . . . closest mark on metric scale

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When we check the error, we find the metric mark is closer than the inch mark.

  5.7 cm ≈ 2.24409 in . . . . error of 0.00802 in

  2 1/2 in = 2.25000 in . . . error of 0.01393 in