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Here are some tips for Integer Multiplication, which aligns with New York state standards:

Integer Multiplication

Breakdown of how integer multiplication works

-4 × 7	=	(4 × -1) × 7		-3 × -5	=	(3 × -1) × (-1 × 5)
	=	-1 × (4 × 7)			=	(-1 × -1) × (3 × 5)
	=	-1 × 28			=	1 × 15
	=	-28			=	15

1. Count the number of negative integers
2. Ignore the negative signs and multiply as usual
3. If needed, add a negative sign to the answer in Step 2
       Odd number of negative integers = negative product
       Even number of negative integers = positive product

Example 1:   ^-2 × ^-3 × ^-7

Step 1: Count the negatives
There are 3 negative integers in the equation.

Step 2: Multiply
2 × 3 × 7 = 42

Step 3: Add negative sign?
Since there are 3 negative integers, the product must be negative.

^-2 × ^-3 × ^-7 = ^-42

Example 2:   ^-1 × 4 × ^-3 × 4

Step 1: Count the negatives
There are 2 negative integers in the equation.

Step 2: Multiply
1 × 4 × 3 × 4 = 48

Step 3: Add negative sign?
Since there are 2 negative integers, the product must be positive.

^-1 × 4 × ^-3 × 4 = 48

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