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Estimation with Decimals

  • 0:00 - 0:01
  • 0:01 - 0:03
    Janelle is training
    for a road race.
  • 0:03 - 0:06
    Her pedometer tracks how
    far she runs every day.
  • 0:06 - 0:08
    Here are the pedometer readings
    for the past four
  • 0:08 - 0:13
    days: on Saturday, she went
    3.89 miles; Sunday, 5.1;
  • 0:13 - 0:18
    Monday, 10.21; Tuesday, 3.35.
  • 0:18 - 0:22
    Estimate the total distance she
    ran over the four days,
  • 0:22 - 0:24
    and then calculate
    the exact amount.
  • 0:24 - 0:26
    Let's estimate first. So I'm
    just going to round them to
  • 0:26 - 0:27
    the nearest mile.
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    So 3.89, let's round
    it up to 4 miles.
  • 0:30 - 0:33
    And I'm doing that because in
    the tenths place, we have an
  • 0:33 - 0:35
    8, which is 5 or greater.
  • 0:35 - 0:38
    So let's just make that
    roughly 4 miles.
  • 0:38 - 0:40
    Let's make this 5.1.
  • 0:40 - 0:43
    We round that down because
    this 1 is less than 5.
  • 0:43 - 0:45
    So let's make this 5 miles.
  • 0:45 - 0:51
    10.21, let's make that
    10 miles because
  • 0:51 - 0:52
    2 would round down.
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    It's less than 5.
  • 0:53 - 0:57
    And 3.35, let's make that 3
    miles, because 3 is less than
  • 0:57 - 0:59
    5, so we'd round down.
  • 0:59 - 1:01
    So that is 3 miles.
  • 1:01 - 1:04
    And if we were to add them
    up, 4 plus 5 is 9.
  • 1:04 - 1:07
    9 plus 10 is 19.
  • 1:07 - 1:11
    19 plus 3 is 22.
  • 1:11 - 1:20
    So my estimate is that she ran
    22 miles over the four days.
  • 1:20 - 1:21
    That's my estimate.
  • 1:21 - 1:24
    Now let's figure out the exact
    amount that she ran.
  • 1:24 - 1:26
    Let me scroll down
    a little bit.
  • 1:26 - 1:33
    So we're going to have to add
    3.89 to 5.1-- and remember,
  • 1:33 - 1:35
    when you're adding decimals,
    you want to line up the
  • 1:35 - 1:44
    decimal-- 10.21 and
    then finally 3.35.
  • 1:44 - 1:48
    And let's add all of these up.
  • 1:48 - 1:52
    Now we'll start in the
    hundredths place.
  • 1:52 - 1:57
    There's nothing here, so 9 plus
    nothing plus 1 is 10,
  • 1:57 - 1:59
    plus 5 is 15.
  • 1:59 - 2:05
    So let's write the 5, and then
    carry, or regroup, the 1.
  • 2:05 - 2:06
    Let me do this in
    another color.
  • 2:06 - 2:10
    1 plus 8 is 9.
  • 2:10 - 2:12
    9 plus 1 is 10.
  • 2:12 - 2:14
    10 plus 2 is 12.
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    12 plus 3 is 15.
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    Put the 5 down.
  • 2:19 - 2:21
    Carry, or regroup, the 1.
  • 2:21 - 2:23
    1 plus 3 is 4.
  • 2:23 - 2:25
    4 plus 5 is 9.
  • 2:25 - 2:27
    9 plus 0 is still 9.
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    9 plus 3 is 12.
  • 2:33 - 2:34
    Write the 2.
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    Regroup this 1 right here.
  • 2:36 - 2:39
    I'll do it out here just so it's
    not part of any of these
  • 2:39 - 2:42
    numbers, and then
    1 plus 1 is 2.
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    And then we have to remember
    the decimal
  • 2:44 - 2:46
    sitting right over there.
  • 2:46 - 2:53
    So the exact distance she
    ran was 22.55 miles.
  • 2:53 - 2:54
    So our estimate wasn't
    too bad.
  • 2:54 - 2:56
    It was 22 miles.
  • 2:56 - 2:59
    We got reasonably close, within
    about little over a
  • 2:59 - 3:00
    half a mile.
  • 3:00 - 3:01
Title:
Estimation with Decimals
Description:

U03_L2_T3_we1 Estimation with Decimals

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Video Language:
English
Duration:
03:01

English subtitles

Incomplete

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