Meena counts the beads as (8 + 7) + 3 (orange bracket) and Kabir counts them as 8 + (7 + 3) (blue bracket). Kabir finds it easier because 7 + 3 makes 10. How many beads are there, and which property says both ways give the same total?

Question

Accepted Answer

18; associative property of addition. Meena: (8 + 7) + 3 = 15 + 3 = 18. Kabir: 8 + (7 + 3) = 8 + 10 = 18. Changing the grouping of the numbers does not change the sum: the associative property of addition. (The order stays 8, 7, 3, so it is not the commutative property.)

Meena counts the beads as (8 + 7) + 3 (orange bracket) and Kabir counts them as 8 + (7 + 3) (blue bracket). Kabir finds it easier because 7 + 3 makes 10. How many beads are there, and which property says both ways give the same total?

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