Which decimal does the grid below represent?

three ten by ten grid squares filled in, four columns of ten quares filled in and six individual squares filled in

3.46

3.046

3.64

3.604

1 answer

To interpret the grid you've described, we can break it down step by step based on the filled squares:

  1. Three ten by ten grid squares filled in: Each ten by ten grid square represents a whole number (1), so three filled squares contribute \(3\).

  2. Four columns of ten squares filled in: Each column of ten squares represents another whole number (1), so four columns contribute \(4\).

  3. Six individual squares filled in: Each individual square represents \(0.1\) since it fills up part of the next decimal. Therefore, six individual squares contribute \(0.6\).

Putting this all together, we have:

  • Whole numbers from grid squares: \(3 + 4 = 7\)
  • Decimal contribution from individual squares: \(0.6\)

Combining these gives \(3 + 4 + 0.6\) which equals \(7.6\).

However, it looks like I made an error in this interpretation since we need to represent this value in one of the given formats. Let's look closely at the filled squares:

  • The three filled ten by ten grids represent \(3\) in the whole number part,
  • The four filled columns likely represent full sets of \(0.4\) (as there are 4 columns making \(40% = 0.4\)),
  • The six individual squares represent \(0.06\).

Thus we can represent this as:

  • \(3\) (from the three ten-by-ten squares)
  • \(0.40\) (from four columns)
  • \(0.06\) (from six individual filled squares).

So combining these leads to \(3 + 0.40 + 0.06 = 3.46\).

Therefore, the decimal represented by the grid is 3.46.