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8. look at the shaded cells in the addition table below. which pattern …

Question

  1. look at the shaded cells in the addition table below. which pattern and property of operations are shown in the shaded cells? a each sum has the same addends. the commutative property of addition b each sum has the same addends. the identity property of addition c each sum has the same addends. the associative property of addition d there are no patterns or properties.

Explanation:

Brief Explanations

First, identify the shaded sums:

  1. Row 12, column 13: $22 + 25 = 47$
  2. Row 13, column 12: $23 + 24 = 47$

These are pairs of additions where the addends are swapped (22+25 and 25+22, 23+24 and 24+23) and the sums are equal. This matches the Commutative Property of Addition, which states $a + b = b + a$.

Answer:

A. Each sum has the same addends; The Commutative Property of Addition