Number Sense and Base Ten

​Math Antics Base Ten Notes

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The number system that we us is called [ ​

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] because it uses [ ​

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] different symbols for [ ​

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] The ten symbols that we use are called [ ​

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] The ten digits that we us are ​

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​

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Base Ten

ten

counting

digits

[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

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Think of a [​

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] as a [ ​

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] that is only big enough to hold [​

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] at a time. The first number place can represent [​

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] to [​

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] items ​

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number place

small box

one digit

0

9

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To count any higher we need to [​

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] a new [​

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], because it is being used to count [ ​

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] of ten, it’s allowing us to [​

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] our original ten [ ​

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], but this time they are able to count bigger amounts. ​

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add

number place

groups

re -use

digits

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In fact, using only our [ ​

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] digits and these [ ​

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] number places, we can count all the way from [​

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]. At ninety-nine, both our number places are maxed out with the highest digits and we won’t be able to [​

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] higher unless we get another [ ​

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]. ​

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10

2

0 to ninety - nine

number place

count

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We can use the new number place to count how many [ ​

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] of [ ​

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] we have. Have you noticed that each time we get a new [​

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] to count larger groups we placed it to the [ ​

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] of the previous number place, that is important because number places are always arranged in the exact same [  ​

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  ] ​

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Groups

one-hundreds

number place

left

order

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Did you also notice that each number place to the left represents groups that are exactly [​

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] times [  ​

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]than the previous [​

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]. The next number place is the [​

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  ] number place.

In the U.S. we use a [  ​

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] to separate every three places. ​

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10

more

number place

thousands

comma

Place Value

Times Ten

When we multiply by ten, we are moving one place left on the place value chart. Any place missing a digit, needs a zero.

• 1 x 3 = 3

• 10 x 3 = 30 (3,6,9,12,15,18,21,24,27,30) can also say 3 x 10 = 30

• 100 x 3 = 300 (can also say 30 x 10)

• 1000 x 3 = 3000 (can also say 300 x 10)

Do you notice the pattern?

• 1 x 5 = 5

• 10 x 5 = 50

• 100 x 5 = 500

• 1000 x 5 = 5000

Multiple Choice

What is the missing number?

100 x 6 =

• 6

• 60

• 600

• 6000

Multiple Choice

10 x __ = 40

• 4

• 40

• 400

• 4000

Multiple Choice

What is the missing number?

__ x 7 = 7000

• 1

• 10

• 100

• 1000

Multiple Choice

Finish the pattern:

1 x 8 = 8

10 x 8 = 80

100 x 8 = ?

• 80

• 800

• 8000

• 80,000

In the number 34, 239

• The value of the 3 in the ten thousands place is 1,000 times greater than the value of the 3 in the tens place

• (I skipped 3 places)