Multiply −116 by 7. Write the answer as a mixed number. Show your work.
To find the product of -116 and 7, we can use the formula:
Product = (Integer part of quotient) + (remainder/denominator)
Dividing -116 by 7:
-116 ÷ 7 = -16
Therefore, the quotient is -16.
To find the remainder, we can use the formula:
Remainder = Dividend - (Divisor * Quotient)
Remainder = -116 - (7 * -16) = -116 - (-112) = -116 + 112 = -4
The quotient is -16 and the remainder is -4.
Therefore, the product -116 multiplied by 7 is -16 -4/7 as a mixed number.
To multiply -116 by 7, we follow these steps:
Step 1: Multiply the absolute values of the numbers:
116 x 7 = 812
Step 2: Determine the sign of the result. Since we are multiplying a negative number (−116) by a positive number (7), the result will be negative.
Step 3: Convert the result to a mixed number.
The whole number part: Divide the absolute value of the result (812) by the second number (7). In this case, 812 ÷ 7 = 116 with a remainder of 4.
The fractional part: The remainder (4) becomes the numerator, and the second number (7) becomes the denominator.
Therefore, the result is -116 and 4/7 as a mixed number.