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Math Day 2

Math Day 2. Powers of Ten. Vocabulary. Place value – the value assigned to the place that a digit occupies in a number. 2 20 200 2,000. How are these four numbers related? How are they alike ? How are they different?.

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Math Day 2

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  1. Math Day 2 Powers of Ten

  2. Vocabulary Place value – the value assigned to the place that a digit occupies in a number

  3. 2 20 200 2,000 How are these four numbers related? How are they alike? How are they different?

  4. In which direction did the digit 2 move when we multiplied by 10 (instead of 1)?

  5. Can you create a general rule or relationship for what we’ve just observed?

  6. Rule: A digit in one place represents ten times as much as it represents in the place to its right.

  7. Why is this rule true? • Ten of the smaller place value make one of the next place value to the left; therefore a digit in one place represents ten times as much as it represents in the place to its right. • For example: • 10 ones make 1 ten (10 units make 1 rod) so 20 is ten times as big as 2 and the value of the 2 is ten times as much in 20 as it is in 2. • The same is true for 200, 10 tens make 1 hundred (10 rods make 1 flat) so 200 is ten times as big as 20 and the value of the 2 in two hundred is ten times as much as it is in 20. • The same idea is applied to 2,000, 10 hundreds make 1 thousand (10 flats make 1 pack) so 2,000 is ten times as big as 200 and the value of the 2 in two thousand is ten times as much as it is in 200.)

  8. What patterns do you see in each row and column? • What general rule(s) for multiplying numbers with zeros can you create?

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