Question Video: Identifying an Even Number Under a Given Condition

What is the highest even number less than 710?

01:49

Video Transcript

What is the highest even number less than 710?

To solve this problem, we need to be able to recognize some of the numbers around 710. In particular, we need to recognize numbers that are less than 710 — numbers like 709, 708, 707, and so on. But if we read the question carefully, we can see that we’re not just thinking about all the numbers less than 710. We need to particularly think about even numbers less than 710.

We know that even numbers are multiples of two. These are numbers that always end in two, four, six, eight, or zero. So some even numbers that are less than 710 are 708, this has eight ones, 706, which has six ones, 704, which has four ones. And we could keep on going. So these are some even numbers less than 710. But there’s one more word in our question that we need to apply. We’re asked to find the highest even number less than 710. And the highest number is the number that’s furthest to the right.

The highest number less than 710 is 709. But of course, we need to find the highest even number. And that number is 708. We know that even numbers always end in two, four, six, eight, or zero. And so, the highest even number less than 710 is 708.

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