Video: Expressing Even Numbers as the Sum of Two Equal Addends

If a number is even, then we can divide it into two equal groups. This means that every even number can be written as a doubles addition sentence. 5 + 5 = 10. For example, we know that 10 is even because 10 = 5 + 5. Which of these addition sentences shows us that 12 is even? [A] 8 + 4 = 12 [B] 5 + 7 = 12 [C] 9 + 3 = 12 [D] 6 + 6 = 12

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Video Transcript

If a number is even, then we can divide it into two equal groups. This means that every even number can be written as a doubles addition sentence. Five plus five equals 10. For example, we know that 10 is even because 10 equals five plus five. Which of these addition sentences shows us that 12 is even? Eight plus four equals 12, five plus seven equals 12, nine plus three equals 12, or six plus six equals 12?

We can tell a number is even if it can be written as a doubles addition sentence. We know 10 is even because 10 is equal to five plus five. Doubling is when we add the same number together twice. Five plus five is the same as double five.

The question asks us which addition sentence proves that 12 is even. We’re looking for a doubles addition sentence, where we add the same number together twice. Eight plus four does equal 12, but eight and four are different numbers. Five and seven does equal 12. But this is not a doubles addition sentence either, because five and seven are different numbers.

Nine and three also makes 12. Again, this is not a doubles sentence because the two numbers are different. Six plus six equals 12, and this is also a doubles addition sentence. We’re adding six together twice. Six plus six also makes 12, and it’s a doubles addition sentence. We’re adding together six twice. The addition sentence that shows us that 12 is even is six plus six equals 12.

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