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Complete the two number grids by counting in ones. The first grid starts from 100 and the second grid starts from 250.

Mathematics

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Step-by-step solution

2 steps
  1. Complete the first grid by counting in ones.

    The grid starts from 100 and progresses by adding 1 to each subsequent number in a row, and by adding 10 to the number directly above it in a column.

    First Grid:
    Row 1: 100, 101, 102, 103, 104, 105, 106, 107, 108, 109
    Row 2: 110, 111, 112, 113, 114, 115, 116, 117, 118, 119
    Row 3: 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130

    The completed first grid is:

    [100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130]\begin{bmatrix} 100 & 101 & \boxed{102} & \boxed{103} & \boxed{104} & \boxed{105} & 106 & \boxed{107} & \boxed{108} & \boxed{109} \\ 110 & \boxed{111} & \boxed{112} & \boxed{113} & \boxed{114} & \boxed{115} & \boxed{116} & \boxed{117} & 118 & \boxed{119} \\ 120 & 121 & 122 & \boxed{123} & \boxed{124} & \boxed{125} & \boxed{126} & 127 & 128 & \boxed{129} & 130 \end{bmatrix}
  2. Complete the second grid by counting in ones.

    The grid starts from 250 and progresses by adding 1 to each subsequent number in a row, and by adding 10 to the number directly above it in a column.

    Second Grid:
    Row 1: 250, 251, 252, 253, 254, 255, 256, 257, 258, 259
    Row 2: 260, 261, 262, 263, 264, 265, 266, 267, 268, 269
    Row 3: 270, 271, 272, 273, 274, 275, 276, 277, 278, 279

    The completed second grid is:

    [250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279]\begin{bmatrix} 250 & 251 & \boxed{252} & \boxed{253} & \boxed{254} & \boxed{255} & \boxed{256} & \boxed{257} & \boxed{258} & \boxed{259} \\ \boxed{260} & 261 & 262 & 263 & 264 & \boxed{265} & \boxed{266} & \boxed{267} & \boxed{268} & \boxed{269} \\ \boxed{270} & \boxed{271} & \boxed{272} & \boxed{273} & \boxed{274} & \boxed{275} & \boxed{276} & 277 & 278 & \boxed{279} \end{bmatrix}
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