what is the absolute value of the product of all the integers from -6 to 3, inclusive
since 0 is in the string of multipliers of the integers from -6 to 3, the answer will be zero.
To find the absolute value of the product of all the integers from -6 to 3, inclusive, we first need to calculate the product of these integers.
Step 1: Calculate the product
To find the product of these integers, we multiply each integer together. So the calculation would be:
(-6) * (-5) * (-4) * (-3) * (-2) * (-1) * (0) * 1 * 2 * 3.
The negative integers and the positive integers cancel each other out in pairs, except for 0. Therefore, the product reduces to:
(0) * 1 * 2 * 3.
Step 2: Calculate the absolute value
The absolute value of a number is always its distance from zero on the number line, regardless of its sign. So to find the absolute value of the calculated product, we discard the sign (if any) and consider only the magnitude.
The product (0) * 1 * 2 * 3 equals zero, so the absolute value of this product is also zero. Thus, the absolute value of the product of all the integers from -6 to 3, inclusive, is zero.