Question Video: Comparing Two Multidigit Numbers | Nagwa Question Video: Comparing Two Multidigit Numbers | Nagwa

# Question Video: Comparing Two Multidigit Numbers Mathematics • Third Year of Primary School

Is 21,442 <, =, or > 21,942?

01:50

### Video Transcript

Is 21,442 less than, equal to, or greater than 21,942?

In this question, we’ve got two five-digit numbers to compare. But did you notice something about these numbers as we read them? They both begin with the same number of thousand, 21,000. It’s only the last part of each number that’s different. This means the numbers must be quite close together. We could use a number line to help compare them.

If both numbers are twenty-one thousand and something, they must come somewhere between 21,000 and 22,000 on a number line. When we’re using a number line like this is always helpful to mark the midway point. And that’s 21,500. So, where does our first number belong on this number line? Where would you put 21,442? Well, twenty-one thousand four hundred and something is just less than 21,500, our midway point. We could estimate that this number is about here.

Now, where does our second number belong? Again, the digit we need to be looking at is the hundreds digit. We know that the ten thousands and the thousands digits are the same. This number is twenty-one thousand nine hundred and something. This is very close to 22,000, isn’t it? And now, we can use our number line to answer the question. We can see that 21,442 is less than 21,942. The correct answer to this question is to use the symbol that represents less than.

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