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Subscribe to Homeschool Math Newsletter - filled with math teaching information  February 2010 newsletter
Latest from my blog This is where you'll find the latest happenings, news, & ideas in math teaching Math teaching videos My videos at YouTube show you how to teach concepts.
Divide decimals - why do we move the decimal point?
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The ideas in this place value lesson are taken from the Place Value 3 ebook that I sell at MathMammoth.com. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. Place value with thousands
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On the above number line you see only whole tens marked. Imagine in between each two whole tens nine little lines that signify the numbers within that ten. For example, between 50 and 60 would be 51, 52, 53, 54, 55, 56, 57, 58, and 59. Remember also that nine tens = 90, but ten tens = 100, one hundred.
On this number line only whole hundreds are marked. In between each two whole hundreds are actually 99 numbers. Imagine 99 little lines for example between 300 and 400! After 900, the next whole hundred is "ten hundreds" or A THOUSAND, 1000. Ten hundreds form a thousand.
The whole hundreds after one thousand continue being a thousand,
thousand one hundred, |
Fill in the table.
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One thousand one 1000 + 0 + 0 + 1
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One thousand twelve 1000 + 0 + 10 + 2
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One thousand 1000 + 0 + 30 + 2
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One thousand _____ + ____ + ___ + __
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One thousand 1000 + 700 + 40 + 5
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One thousand _____ + ____ + ___ + __
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Example problem types
1. Break these numbers down to hundreds, tens, and ones.
= 1000 + 0 + 30 + 4 |
= 1000 + ___ + __ + __ |
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= 1000 + ___ + __ + __ |
= 1000 + ___ + __ + __ |
2. What are these broken down numbers?
| 1000 + 300 + 40 + 3 = 1343
1000 + 0 + 60 + 5 = _____ 1000 + 0 + 80 + 0 = _____ 1000 + 700 + 7 = _____ |
1000 + 90 + 7 = _____ 1000 + 6 = _____ 1000 + 600 + 70 + 3 = _____ 1000 + 30 = _____ |
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On this number line you see tick marks at every thousand. After 9000 (nine thousand) the next thousand is 10,000 (ten thousand), and we use a little comma to separate the three digits that signify ones, tens, and hundreds, from the other digits. That makes for easier reading.
In many countries the comma is used a separator also for numbers between 1000 and 10,000. For example, 5467 would be written 5,467. In this book we have chosen to use the comma only after 10,000. In some countries a space is used instead of comma. For example, 12,365 is written 12 365. Let your teacher decide over this matter. |
Fill in the table.
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Two thousand one 2000 + 0 + 0 + 1
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Two thousand 2000 + 0 + 20 + 5
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Two thousand 2000 + 100 + 30 + 2
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Three thousand 3000 +___+___+__
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Five thousand 5000 +____+___+__
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Six thousand _____+____+___+__
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Eight thousand ____+____+___+__
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Nine thousand ____+ ____+___ +__
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Ten thousand 10,000
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Example problem types
1. Break these numbers down to hundreds, tens, and ones.
= 9000 + 0 + 70 + 4 |
= 5000 + ___ + __ + __ |
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= _____ + ____ + ___ + __ |
= _____ + ____ + ___ + __ |
2. What are these broken down numbers?
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9000 + 90 + 800 = ____ 6000 + 7 = ____ 5000 + 40 + 4 + 500 = ____ |
1000 + 90 + 900 + 3 = ____ 7000 + 80 + 9 = ____ 8000 + 500 + 8 + 60 = ____ |
4. Count by hundreds.
|8000, 8100, _____, _____, _____, _____, _____, _____, _____, _____.
_____, _____, _____, 4700, _____, _____, _____, _____, _____, _____.
5. Count by tens:
8000, 8010, 8020, _____, _____, _____, _____, _____, _____, _____, _____.
_____, _____, _____, 4200, _____, _____, _____, _____, _____, _____.
6. Here is a number line from 2390 till 2500 where tick-marks are at every 10.
Mark with a little circle the approximate location of the following numbers: 2415, 2398, 2441, 2476, 2483, 2499.
Then draw in your notebook a number line from 7650 till 7800 with tick marks at
every 10.
Mark with a little circle the approximate location of the following numbers on
your number line: 7659, 7672, 7745, 7758, 7777, 7796
The ideas in this place value lesson are taken from the Place Value 3 ebook that I sell at MathMammoth.com. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
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Copyright 2003-2010 Maria Miller
http://www.homeschoolmath.net/
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