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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)
What is associative property?
When the grouping of the numbers changes but the sum or product stays the same.
What is commutative property?
The order of the numbers changes but the sum or product stays the same.
Which property is this? (3 x 4) x 2 = 3 x (2 x 4) Commutative, Associative, Identity, or Distributive Property?
Commutative and Associative
Which property is this? 6 + (8 + 5) = 6 + ( 5 + 8) Commutative, Associative, Identity, or Distributive Property?
Commutative
Which property is this? 6 x 9 = 9 x 6 Commutative, Associative, Identity, or Distributive Property?
Commutative
Which property is this? 6 + 0 Commutative, Associative, Identity, or Distributive Property?
Identity
Which property is this? 45 x 1 Commutative, Associative, Identity, or Distributive Property?
Identity
Which property is this? 6(4 + 7) = (6 x 4) + (6 + 7) Commutative, Associative, Identity, or Distributive Property?
Distributive
Which property is this? 2 + (5 + 3) = (2 + 5) + 3 Commutative, Associative, Identity, or Distributive Property?
Associative
Which property is this? 6 + 8 = 8 + 6 Commutative, Associative, Identity, or Distributive Property?
Commutative
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.
Write 90,030 in exponential form.
(9 x 10,000) + (3 x 10)
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 three thousand, five hundred sixty-five in standard form.
3,565
Write 1,282,000 in word form.
One million, two hundred eighty-two thousand
3 is 1/100 of ___
300
4,000 is 1/100 of _____
400,000
300 is 100 times as much as ______
3
70,000 is 1/10 of ____
700,000
20 is 1/10 of _____
200
3,000 is 10 times as much as _____
300
40 is 10 times as much as _____
4
Define- place value
The value of a digit in a number based on its location in the number
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.