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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. Numbers till one million
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On this number line you see whole thousands from 1000 (one thousand)
till 15,000 (fifteen thousand). In some countries, instead of comma, a space is used. So 45,689 would be 45 689, with a little space between 5 and 6. The purpose is the same, to make the numbers easier to read. Remember, the comma or the space separates the whole thousands from ones, tens, and hundreds. We continue counting whole thousands from one thousand (1000) all the way up to 999,000 (nine hundred ninety-nine thousand). Just like you count numbers from 1 till 999, you can count whole thousands from one thousand till 999 thousand, or from 1000 till 999,000. After 999 comes thousand, but when counting whole thousands, after 999,000 comes 1,000,000 (one and six zeros), which is called one million. It is the same as thousand thousands. Since the comma separates whole thousands from the smaller units, we read first how many thousands there are, and in the place of comma say 'thousand'. For example, 203,495 is read "two hundred three THOUSAND four hundred ninety-five". |
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One hundred fifty-three thousand
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Seventeen thousand
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Four hundred six thousand
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Nine hundred eighty thousand
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Seven hundred five thousand
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Fifty-five thousand
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Example problem types
Write the numbers with numbers.
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Six hundred thirty thousand
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Seven hundred six thousand
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Fifteen thousand __ __ __ , __ __ __ |
Four hundred ten thousand __ __ __ , __ __ __ |
2. Write these numbers in words.
456,098 ___________________________________________________________
78,304 ___________________________________________________________
3. Count and fill in the missing numbers.
27,090, 27,091, ________, ________, ________, ________, ________, ________, ________
146,587, 146,588, ________, ________, ________, ________, ________, ________, ________
708,006, 708,007, ________, ________, ________, ________, ________, ________, ________
99,997, 99,998, ________, ________, ________, ________, ________, ________, ________
4. Look at the number lines and mark the following numbers (approximately!) there with a little circle.
15,090 15,131 15,678 15,430 15,878 15,923 16,050
34,896 34,950 35,254 35,599 35,020 34,631 35,117
5. Break these numbers down to whole hundred thousands, whole ten thousands, thousands, hundreds, tens, and ones.
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6. Compare. Write either < or > in between the numbers.
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[a] 111,050 < 105,099 264,767 276,777 609,056 690,045 342,577 423,577 |
[c] 130,659 130,969 367,496 367,482 857,066 857,102 505,677 507,755 |
7. Draw a number line from 67,000 till 68,000 with tick marks at every whole hundred. Mark the following numbers (approximately!) there with a little circle. Then write them in order from smallest to greatest.
67,030 67,250 67,370 67,510 67,780 67,940 67,049 67,703
______ < ______ < ______ < ______ < ______ < ______ < ______ < ______
8. Adding and subtracting in columns happens exactly the same way. See how well you can do!
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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.
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Copyright 2003-2010 Maria Miller
http://www.homeschoolmath.net/
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