WEBVTT
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In 2019, the population of the United States of America was 329,991,000.
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That of Brazil was 210,511,000.
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And that of Indonesia was 268,074,600.
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Order the three populations from least to greatest.
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Any country’s population or the number of people that live there is often a large number.
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And here we have three countries that have a nine-digit number that shows their population.
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We’re given the population of the United States, that of Brazil, and also Indonesia.
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And we’re asked to order these three populations from least to greatest.
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Now we could try to compare these three numbers by looking across at them as they’re written at the moment in part of a sentence.
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But when we’re comparing large numbers with lots of digits, it often helps to write them out vertically, in other words one number on top of another.
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This way, we can compare the value of each digit one by one.
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Now a nine-digit number is written in three groups of three digits, with a comma separating them.
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Going from right to left, we have our ones, tens, and hundreds digits.
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And we can call this group of three the ones.
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Our next group of three digits we could call our thousands digits.
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If we keep going from right to left, we have our thousands, ten thousands, and hundred thousands places.
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And in between our thousands and ones groups, we have a comma to separate them.
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This helps us to read the number more quickly.
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Our final group of three digits is our millions group.
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And the three-digit places are worth millions, ten millions, and hundred millions.
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And again, there’s a comma between our millions and thousands groups to help us read the number.
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Now we’ve drawn the place value grid.
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We can write out each population.
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In 2019, the population of the United States of America was 329,991,000.
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We’re told that Brazil’s population was 210,511,000.
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And finally, the population of Indonesia was 268,074,600.
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Now that we’ve set out these large numbers vertically and we’ve got the place value grid to help us, we can compare them quickly.
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A lot more quickly than looking around from one number to another in a sentence.
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So should we start by looking at the ones place and then the tens?
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No.
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If we start with the ones place, we’re starting with a digit that has least value.
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Whether any of these populations have nine ones or eight ones or even one one, it doesn’t matter.
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To begin with, we need to be comparing the digits that have the greatest value.
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These are the ones that are most important in our numbers.
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And the digits with the greatest value are our hundred millions digits.
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If we spend a moment to look at these, we can see that two of our populations contain the digit two in the hundred millions place.
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One of them contains the digit three.
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So although we might not know at this point which population is the least, we can certainly say which one is the greatest of our three populations.
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It’s the United States.
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It has the greatest digit in the place with the greatest value.
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We need to write our three numbers in order from least to greatest, so we know which the third number in our list is going to be.
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It’s going to be the population of the United States, which is 329,991,000.
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We now need to put the other two populations in order.
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Will they come first or second in our list?
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We can’t separate these two numbers by looking at the hundred millions digits.
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So now we have to look at the digit with the next largest value.
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This is the ten millions place.
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One of our numbers has 10 millions with a one in this place, and the other has 60 millions, with a six in the ten millions place.
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One is less than six.
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So we can say that the first number and the least out of our three numbers is the population of Brazil.
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This means then that the second number in our list must be the population of Indonesia.
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We compared these three nine-digit numbers by using a place value grid to help.
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We put them in order from least to greatest by looking at the digits that had the greatest value first.
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In order then from least to greatest, the populations are Brazil then Indonesia then the United States of America.
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And these numbers are 210,511,000, 268,074,600, and 329,991,000.