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The dot array has 6 rows of 14 dots, split by the orange dashed line into 10 blue columns and 4 green columns. Using the split, . How many dots are there?

Class 6Whole NumbersWhole Numbers
  • A84
  • B64
  • C74
  • D240

Step-by-Step Solution

Blue part: . Green part: . Total — the distributive property . (64 forgets to multiply the 4 by 6; 240 multiplies the parts )
Answer: A) 84

Key idea: Closure: when an operation 'stays inside' the whole numbers

Adding two whole numbers always gives a whole number — addition is **closed** on whole numbers. Multiplying two whole numbers always gives a whole number — multiplication is **closed** too. But subtraction is **not** closed: 5 − 7 = −2, which is not a whole number. Division is also not closed: 7 ÷ 2 = 3.5, not a whole number. Closure is the property that lets us trust an operation never to take us 'outside' the world of whole numbers.

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