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Rounding Numbers up to 10,000
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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.
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Meet Daisy the cow.
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She’s a famous “Mootuber.”
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Her latest “moosic” video has had 6,752 views.
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Daisy wants to know whether the number of views is nearer to 6,000 or 7,000.
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Let’s help Daisy round 6,752 to the nearest thousand.
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We can use our number line and place value table to help.
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We’re rounding to the nearest thousand.
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The thousands digit in the number 6,752 is a six, worth 6,000.
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So we know that Daisy’s number comes between 6,000 and the next thousand, which is 7,000.
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Daisy’s number has seven 100s.
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This helps us to mark her number on the number line.
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6,752 will go roughly here between 6,700 and 6,800.
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And we can tell just by looking at the number line that Daisy’s number is closer to 7,000.
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So the nearest thousand is 7,000.
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A quicker way to round to the nearest thousand is to use our knowledge of place value.
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We already know 6,752 is between 6,000 and 7,000.
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And we already know we’re rounding to the nearest thousand.
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And we’ve underlined the digit to the right, which is the hundreds digit.
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If this digit is five or more, we would need to round up.
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And if it’s less than five, we need to round down.
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Seven is more than five, so we need to round up to 7,000.
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So Daisy’s “Mootube” video has had almost 7,000 views.
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6,752 rounded to the nearest thousand is 7,000.
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So Daisy knows she’s had almost 7,000 views on her latest “moosic” video.
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We would use the same rules about rounding to help us round 6,752 to the nearest hundred.
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We’re rounding to the nearest hundred, so we can circle the hundreds digit.
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And we need to look to the digit to the right of this to help us decide whether to round up or down.
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The digit to the right is the tens digit, which is a five.
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And we know if the digit is worth five or more, we have to round up.
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The nearest hundred to 6,752 is 6,800.
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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.
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So we know our number’s between 6,750 and the next ten, which is 6,760.
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Again, we need to look to the digit to the right, the ones digit in this case.
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We’ve underlined it.
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Two is less than five, so we need to round down.
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The nearest ten to 6,752 is 6,750.
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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.
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Round 2,826 to the nearest hundred.
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To help us round our four-digit number to the nearest hundred, we could use a number line.
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We have to round 2,826 to the nearest hundred.
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And the hundreds digit in this number is an eight, which is worth 800.
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So 2,826 comes between 2,800 and 2,900.
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Which is the nearest hundred, 2,800 or 2,900?
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The halfway mark between 2,800 and 2,900 is 2,850.
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2,826 would go here on our number line, between 2,820 and 2,830.
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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.
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We rounded 2,826 to the nearest hundred using a number line.
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The nearest hundred is 2,800.
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Round 5,465 to the nearest ten.
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Let’s use a place value table to help us round our number to the nearest ten.
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5,465 is a four-digit number.
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The thousands digit is a five with a value of 5,000.
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The hundreds digit is a four, worth 400.
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The tens digit is a six, worth 60.
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And the ones digit is a five, worth five ones.
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We’re rounding to the nearest ten.
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We can circle the tens digit.
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5,465 has six 10s, worth 60.
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So we know our number comes between 5,460 and 5,470.
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We have to work out which is the nearest ten.
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To do this, we need to underline the digit to the right, which is the ones digit.
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The ones digit is a five.
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We know if this digit is worth five or more, we have to round up.
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So 5,465 to the nearest ten is 5,470.
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We’ve rounded up.
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We rounded 5,465 to the nearest ten using our place value table to help.
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The nearest ten to 5,465 is 5,470.
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Complete the table below.
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We have to round the number 8,376 to the nearest ten, hundred, and thousand.
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8,376 is a four-digit number.
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It has eight 1000s, three 100s, seven 10s, and six ones.
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And we need to start by rounding our number to the nearest ten.
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We know the tens digit is a seven, worth 70.
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So 8,376 is between 8,370 and 8,380.
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To help us decide which is the nearest ten, we need to look to the ones digit.
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If this digit is five or more, we round up.
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And if it’s less than five, we round down.
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Our ones digit is a six, which is greater than five.
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So we have to round up, to 8,380.
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Next, we have to round 8,376 to the nearest hundred.
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Our hundreds digit is a three, so our number comes between 8,300 and 8,400.
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We need to look to the digit to the right, which is the tens digit.
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And we know that seven is worth more than five.
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So again we need to round up.
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The nearest hundred to 8,376 is 8,400.
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Finally, we need round 8,376 to the nearest thousand.
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Our thousands digit is an eight, worth 8,000.
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So we know our number comes between 8,000 and the next thousand, which is 9,000.
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We look to the digit to the right, which is the hundreds digit.
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And we know if this number is five or more, we round up.
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If it’s less than five, we round down.
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Three is less than five.
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So we round down to 8,000.
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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.
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We used our knowledge of place value to help.
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The missing numbers are 8,380, 8,400, and 8,000.
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What have we learned in this video?
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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.