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Multiplying Integers

- Objective Multiplying integers

5-Minute Check

- Use the pattern below to find the product of 48 X

52. - 8 X 12 96
- 18 X 22 396
- 28 X 32 896
- 38 X 42 1596

5-Minute Check

- Use the pattern below to find the product of 48 X

52. - 8 X 12 96
- 18 X 22 396
- 28 X 32 896
- 38 X 42 1596
- 48 X 52 2496

5-Minute Check

Find the next two integers in each pattern 2. 5,

10, 20, 40, . . .

5-Minute Check

Find the next two integers in each pattern 2. 5,

10, 20, 40, . . . 80, 160

5-Minute Check

Find the next two integers in each pattern 2. 5,

10, 20, 40, . . . 3. -2, 6, -18, 54, . . .

5-Minute Check

Find the next two integers in each pattern 2. 5,

10, 20, 40, . . . 3. -2, 6, -18, 54, . . . -162,

486

5-Minute Check

Give the next two letters in each pattern 4. N,

O, R, S, V, . . .

5-Minute Check

Give the next two letters in each pattern 4. N,

O, R, S, V, . . . W, Z

5-Minute Check

Give the next two letters in each pattern 4. N,

O, R, S, V, . . . 5. J, F, M, A M J, J, A, . . .

5-Minute Check

Give the next two letters in each pattern 4. N,

O, R, S, V, . . . 5. J, F, M, A M J, J, A, . .

. S, O

5-Minute Check

Give the next two letters in each pattern 4. N,

O, R, S, V, . . . 5. J, F, M, A M J, J, A, . .

. S, O (September, October)

5-Minute Check

Find a pattern that will allow you to finish the

following collection of numbers.

2-7 Multiplying Integers

Example 1 Find the product of 6 and 10. You can

solve this problem by looking for a

pattern. 6(20) 120 6(10) 60 6(0)

0 6(-10)

-60 -60 -60

2-7 Multiplying Integers

Example 1 Find the product of 6 and 10. You can

solve this problem by looking for a

pattern. 6(20) 120 6(10) 60 6(0)

0 6(-10) -60 So, 6 X -10 -60

-60 -60 -60

2-7 Multiplying Integers

2-7 Multiplying Integers

Example 2 Solve p -7(11) p -7(11) The two

factors have different signs.

2-7 Multiplying Integers

Example 2 Solve p -7(11) p -7(11) The two

factors have different signs. p -77 The

product is negative.

2-7 Multiplying Integers

2-7 Multiplying Integers

Example 3 Solve r -8(-9) r -8(-9) The two

factors have the same sign.

2-7 Multiplying Integers

Example 3 Solve r -8(-9) r -8(-9) The two

factors have the same sign. r 72 The product

is positive.

2-7 Multiplying Integers

When we have a negative number such as -4, one

can think of this as the opposite of 4. So

when we have a multiplication problem such as -4

X 5, we can think of it as the opposite of 4 X

5. 4 X 5 is 20. What is the opposite of 20? Our

answer would be negative 20. This is carried over

to this type of problem. -4 X (-5) We can think

of this as the opposite of 4 X (the opposite

of 5). We have already learned that 4 X 5 is 20.

4 X the opposite of 5 would be negative 20 and

then the opposite of -20 is positive 20.

-(4 X 5)

-(4 X -(5)) -(-(20)) 20

2-7 Multiplying Integers

2-7 Multiplying Integers

Example 4 Solve q -2(-3)(-11) q

-2(-3)(-11) There are three negative factors. q

-2(-3)(-11) Three is odd.

2-7 Multiplying Integers

Example 4 Solve q -2(-3)(-11) q

-2(-3)(-11) There are three negative factors. q

-2(-3)(-11) Three is odd. q -2(33) q

-66

2-7 Multiplying Integers

Example 4 Solve q -2(-3)(-11) q

-2(-3)(-11) There are three negative factors. q

-2(-3)(-11) Three is odd. q -2(33) q

-66 The product will be negative.

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