Multiply 82×(−13) show your work

To multiply 82 by -13, you would use the basic multiplication algorithm. Here is the work:

82
×(-13)
------
-984 (multiply 82 by -13: 82 × -13 = -1,066)
0 (add a 0 at the end for the placeholder)
------
-1,066

Therefore, 82 multiplied by -13 equals -1,066.

Multiply −116 by 7. Write the answer as a mixed number.(1 point)

To multiply -116 by 7, we use the basic multiplication algorithm. Here is the work:

-116
× 7
------
-812 (multiply 116 by 7: 116 × 7 = 812)
+0 (add a 0 at the end for the placeholder)
------
-812

Therefore, -116 multiplied by 7 equals -812. As a mixed number, this would be written as -116/1 or simply -812.

Multiply −1 1/6 by 7. Write the answer as a mixed number.(1 point)

To multiply -1 1/6 by 7, we first convert the mixed number into an improper fraction. Here is the work:

-1 1/6 = -7/6

Next, we multiply -7/6 by 7:

-7/6 × 7 = -49/6

Now, we need to express the answer as a mixed number. Dividing the numerator (-49) by the denominator (6), we get:

-49 ÷ 6 = -8 remainder 1

So, the mixed number representation of the answer is -8 1/6.

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Question
Of the cars in a used-car lot, 25 are the color gray. 13 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.(1 point)

To calculate the fraction of cars on the lot that are both gray and electrically powered, we need to divide the number of gray and electrically powered cars by the total number of cars on the lot.

The number of gray and electrically powered cars is given as 13. The total number of cars on the lot is given as 154.

So, the fraction of cars that are both gray and electrically powered is:

13/154

This fraction cannot be simplified any further, so the answer is 13/154.

Question

Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.(1 point)

To calculate the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fraction of gray cars by the fraction of gray cars that are electrically powered.

The fraction of gray cars is given as 2/5. The fraction of gray cars that are electrically powered is given as 1/3.

Multiplying these fractions together, we get:

(2/5) * (1/3) = 2/15

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.

To multiply 82 by -13, you can follow the steps below:

Step 1: Multiply the absolute values of the numbers:
82 × 13 = 1,066

Step 2: Determine the sign of the answer:
Since one of the numbers is negative (-13), the final answer will be negative.

Step 3: Combine the sign with the result from step 1:
-1,066 (the negative sign indicates that the answer is negative)

So, the result of multiplying 82 by -13 is -1,066.