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Math Review #1

Explain the patterns when going up and down place value positions.

As you go up the place value position the value goes up by x10 and as you go down the place value positions the value goes down by ÷ 10 or x 1/10.

Define- place value

The value of a digit in a number based on its location in the number

40 is 10 times as much as _____

4

3,000 is 10 times as much as _____

300

20 is 1/10 of _____

200

70,000 is 1/10 of ____

700,000

300 is 100 times as much as ______

3

4,000 is 1/100 of _____

400,000

3 is 1/100 of ___

300

Write 1,282,000 in word form.

One million, two hundred eighty-two thousand

Write three thousand, five hundred sixty-five in standard form.

3,565

Write eighty-two thousand, two hundred five in exponential form.

(8 x 10,000) + (2 x 1,000) + ( 2 x 100) + (5 x 1)

Write 90,030 in exponential form.

(9 x 10,000) + (3 x 10)

Explain how you know that the values of the digit 6 in the number 160,000 and 100,600 are not the same.

The digit 6 in 160,000 and 100,600 are NOT the same value because the 6 is in different place values. The 1st 6 is in the 10,000's and the 2nd 6 is in 100's.

Which property is this?
6 + 8 = 8 + 6
Commutative, Associative, Identity, or Distributive Property?

Commutative

Which property is this?
2 + (5 + 3) = (2 + 5) + 3
Commutative, Associative, Identity, or Distributive Property?

Associative

Which property is this?
6(4 + 7) = (6 x 4) + (6 + 7)
Commutative, Associative, Identity, or Distributive Property?

Distributive

Which property is this?
45 x 1
Commutative, Associative, Identity, or Distributive Property?

Identity

Which property is this?
6 + 0
Commutative, Associative, Identity, or Distributive Property?

Identity

Which property is this?
6 x 9 = 9 x 6
Commutative, Associative, Identity, or Distributive Property?

Commutative

Which property is this?
6 + (8 + 5) = 6 + ( 5 + 8)
Commutative, Associative, Identity, or Distributive Property?

Commutative

Which property is this?
(3 x 4) x 2 = 3 x (2 x 4)
Commutative, Associative, Identity, or Distributive Property?

Commutative and Associative

What is commutative property?

The order of the numbers changes but the sum or product stays the same.

What is associative property?

When the grouping of the numbers changes but the sum or product stays the same.

What is Distributive Property?

Tells us how to solve expressions in the form of A(B +C). We share "A" with both addends by multiplying each addend with "A".
Example: (A x B) + (A x C)

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