Solved on Dec 10, 2023

Find the product of -8 and 6.

STEP 1

Assumptions
1. We are multiplying two integers: -8 and 6.
2. The multiplication of two integers follows the rule that the product of a positive and a negative integer is negative.

STEP 2

Multiply the absolute values of the two integers.
$|-8| \cdot |6| = 8 \cdot 6$

STEP 3

Calculate the product of the absolute values.
$8 \cdot 6 = 48$

STEP 4

Apply the rule for the multiplication of integers with different signs: the product of a positive integer and a negative integer is a negative integer.
$-8 \cdot 6 = -(|-8| \cdot |6|)$

STEP 5

Substitute the result from STEP_3 into the equation.
$-8 \cdot 6 = -(48)$

STEP 6

Calculate the final product.
$-8 \cdot 6 = -48$
The product of -8 and 6 is -48.

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Find the product of -8 and 6.

STEP 1

Assumptions
1. We are multiplying two integers: -8 and 6.
2. The multiplication of two integers follows the rule that the product of a positive and a negative integer is negative.

STEP 2

Multiply the absolute values of the two integers.
$|-8| \cdot |6| = 8 \cdot 6$

STEP 3

Calculate the product of the absolute values.
$8 \cdot 6 = 48$

STEP 4

Apply the rule for the multiplication of integers with different signs: the product of a positive integer and a negative integer is a negative integer.
$-8 \cdot 6 = -(|-8| \cdot |6|)$

STEP 5

Substitute the result from STEP_3 into the equation.
$-8 \cdot 6 = -(48)$

STEP 6

Calculate the final product.
$-8 \cdot 6 = -48$
The product of -8 and 6 is -48.

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Find the product of -8 and 6.

STEP 1

Assumptions1. We are multiplying two integers: -8 and 6.2. The multiplication of two integers follows the rule that the product of a positive and a negative integer is negative.

STEP 2

Multiply the absolute values of the two integers.∣−8∣⋅∣6∣=8⋅6|-8| \cdot |6| = 8 \cdot 6∣−8∣⋅∣6∣=8⋅6

STEP 3

Calculate the product of the absolute values.8⋅6=488 \cdot 6 = 488⋅6=48

STEP 4

Apply the rule for the multiplication of integers with different signs: the product of a positive integer and a negative integer is a negative integer.−8⋅6=−(∣−8∣⋅∣6∣)-8 \cdot 6 = -(|-8| \cdot |6|)−8⋅6=−(∣−8∣⋅∣6∣)

STEP 5

Substitute the result from STEP_3 into the equation.−8⋅6=−(48)-8 \cdot 6 = -(48)−8⋅6=−(48)

STEP 6

Calculate the final product.−8⋅6=−48-8 \cdot 6 = -48−8⋅6=−48The product of -8 and 6 is -48.

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Assumptions
1. We are multiplying two integers: -8 and 6.
2. The multiplication of two integers follows the rule that the product of a positive and a negative integer is negative.

Multiply the absolute values of the two integers.
$|-8| \cdot |6| = 8 \cdot 6$

Calculate the product of the absolute values.
$8 \cdot 6 = 48$

Apply the rule for the multiplication of integers with different signs: the product of a positive integer and a negative integer is a negative integer.
$-8 \cdot 6 = -(|-8| \cdot |6|)$

Substitute the result from STEP_3 into the equation.
$-8 \cdot 6 = -(48)$

Calculate the final product.
$-8 \cdot 6 = -48$
The product of -8 and 6 is -48.