# Lesson Video: Rounding Numbers up to 10,000 Mathematics

In this video, we will learn how to round whole numbers to the nearest ten, hundred, and thousand using place value and number lines.

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### Video Transcript

Rounding Numbers up to 10,000

In this video, we’re going to learn how to round numbers up to 10,000 to the nearest ten, hundred, or thousand using place value and number lines.

Meet Daisy the cow. She’s a famous “Mootuber.” Her latest “moosic” video has had 6,752 views. Daisy wants to know whether the number of views is nearer to 6,000 or 7,000. Let’s help Daisy round 6,752 to the nearest thousand. We can use our number line and place value table to help. We’re rounding to the nearest thousand. The thousands digit in the number 6,752 is a six, worth 6,000. So we know that Daisy’s number comes between 6,000 and the next thousand, which is 7,000. Daisy’s number has seven 100s. This helps us to mark her number on the number line. 6,752 will go roughly here between 6,700 and 6,800. And we can tell just by looking at the number line that Daisy’s number is closer to 7,000. So the nearest thousand is 7,000.

A quicker way to round to the nearest thousand is to use our knowledge of place value. We already know 6,752 is between 6,000 and 7,000. And we already know we’re rounding to the nearest thousand. And we’ve underlined the digit to the right, which is the hundreds digit. If this digit is five or more, we would need to round up. And if it’s less than five, we need to round down. Seven is more than five, so we need to round up to 7,000. So Daisy’s “Mootube” video has had almost 7,000 views. 6,752 rounded to the nearest thousand is 7,000. So Daisy knows she’s had almost 7,000 views on her latest “moosic” video.

We would use the same rules about rounding to help us round 6,752 to the nearest hundred. We’re rounding to the nearest hundred, so we can circle the hundreds digit. And we need to look to the digit to the right of this to help us decide whether to round up or down. The digit to the right is the tens digit, which is a five. And we know if the digit is worth five or more, we have to round up. The nearest hundred to 6,752 is 6,800.

Similarly, if we want to round 6,752 to the nearest ten, we need to circle the tens digit, which is a five, worth 50. So we know our number’s between 6,750 and the next ten, which is 6,760. Again, we need to look to the digit to the right, the ones digit in this case. We’ve underlined it. Two is less than five, so we need to round down. The nearest ten to 6,752 is 6,750. Now that we’ve learned how to round to the nearest thousand, hundred, or ten, let’s apply what we’ve learned by answering some questions.

Round 2,826 to the nearest hundred.

To help us round our four-digit number to the nearest hundred, we could use a number line. We have to round 2,826 to the nearest hundred. And the hundreds digit in this number is an eight, which is worth 800. So 2,826 comes between 2,800 and 2,900. Which is the nearest hundred, 2,800 or 2,900? The halfway mark between 2,800 and 2,900 is 2,850. 2,826 would go here on our number line, between 2,820 and 2,830. Now that we’ve placed our number on the number line, it’s easy to see that the nearest hundred to 2,826 is 2,800. We rounded 2,826 to the nearest hundred using a number line. The nearest hundred is 2,800.

Round 5,465 to the nearest ten.

Let’s use a place value table to help us round our number to the nearest ten. 5,465 is a four-digit number. The thousands digit is a five with a value of 5,000. The hundreds digit is a four, worth 400. The tens digit is a six, worth 60. And the ones digit is a five, worth five ones. We’re rounding to the nearest ten. We can circle the tens digit. 5,465 has six 10s, worth 60. So we know our number comes between 5,460 and 5,470. We have to work out which is the nearest ten.

To do this, we need to underline the digit to the right, which is the ones digit. The ones digit is a five. We know if this digit is worth five or more, we have to round up. So 5,465 to the nearest ten is 5,470. We’ve rounded up. We rounded 5,465 to the nearest ten using our place value table to help. The nearest ten to 5,465 is 5,470.

Complete the table below. We have to round the number 8,376 to the nearest ten, hundred, and thousand.

8,376 is a four-digit number. It has eight 1000s, three 100s, seven 10s, and six ones. And we need to start by rounding our number to the nearest ten. We know the tens digit is a seven, worth 70. So 8,376 is between 8,370 and 8,380. To help us decide which is the nearest ten, we need to look to the ones digit. If this digit is five or more, we round up. And if it’s less than five, we round down. Our ones digit is a six, which is greater than five. So we have to round up, to 8,380.

Next, we have to round 8,376 to the nearest hundred. Our hundreds digit is a three, so our number comes between 8,300 and 8,400. We need to look to the digit to the right, which is the tens digit. And we know that seven is worth more than five. So again we need to round up. The nearest hundred to 8,376 is 8,400.

Finally, we need round 8,376 to the nearest thousand. Our thousands digit is an eight, worth 8,000. So we know our number comes between 8,000 and the next thousand, which is 9,000. We look to the digit to the right, which is the hundreds digit. And we know if this number is five or more, we round up. If it’s less than five, we round down. Three is less than five. So we round down to 8,000.

8,376 rounded to the nearest ten is 8,380, rounded to the nearest hundred is 8,400, and rounded to the nearest thousand is 8,000. We used our knowledge of place value to help. The missing numbers are 8,380, 8,400, and 8,000.

What have we learned in this video? We have learned how to round four-digit numbers to the nearest ten, hundred, or thousand using a number line or a place value table to help.