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Which of the following numbers could complete the expression 51416427958 is less than some number which is less than 51614427958?
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One key here is noticing that we’re dealing with two less than symbols.
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This means we’re working from the least to the greatest and we need a value between these two outer numbers.
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Both of the outer numbers have 51 billions.
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That means that our number in the middle will need 51 billion.
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All four of our answer choices have 51 billion.
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So we can move to our hundred millions.
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So we’ll move to the hundred millions.
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Our least value — our number on the left — has a four in the hundred millions place.
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Our greatest value has a six in the hundred millions place.
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This means that our value in the middle, we’ll have a number between 400 million and 600 million.
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Our first answer choice has a four in the hundred millions, so does our second answer choice.
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The third answer choice has a three in the hundred millions place.
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This value is too small.
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Our fourth answer choice has a seven in the hundred millions place.
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This value is too large.
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Now, let’s take a closer look at the millions place all together.
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Our smallest number has 416 million and our largest number has 614 million.
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Which of our answer choices fall between 416 million and 614 million?
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426 is larger than 416 and it’s smaller than 614.
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415 million is smaller than 416 million.
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Answer choice b does not fall between our smallest and largest value.
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Here’s what we found: 51426427958 completes our expression.
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It is between the two values we were given.