Use the properties of operations and rules for multiplying and dividing to solve:
(−35)×(516)×(712)÷(−316)×(−57)
(1 point)
First, we need to perform the multiplication.
(-35) × (516) × (712) × (-316) × (-57)
Next, we need to divide.
((-35)(516)(712)(-316)(-57)) / (-316)(-57)
Now, we can cancel out the common factors (-316) and (-57).
((-35)(516)(712))/1
Finally, we multiply the remaining factors.
((-35)(516)(712)) = -11930760
So, the solution to the expression is -11930760.
To solve the expression (-35)×(516)×(712)÷(-316)×(-57), we can follow the order of operations, which is parentheses, multiplication, and then division, from left to right.
Step 1: Multiply the numbers within the first set of parentheses: (-35) × (516) = -18,060.
Step 2: Multiply the result from step 1 with the number outside the second set of parentheses: -18,060 × (712) = -12,855,120.
Step 3: Divide the result from step 2 by the number within the second set of parentheses: -12,855,120 ÷ (-316) = 40,749.
Step 4: Multiply the result from step 3 with the number outside the third set of parentheses: 40,749 × (-57) = -2,324,193.
Therefore, the solution to the expression (-35)×(516)×(712)÷(-316)×(-57) is -2,324,193.
To solve this expression, we can use the properties of operations and rules for multiplying and dividing. Firstly, we must follow the order of operations, which states that we should perform any operations inside parentheses first, then perform multiplication and division from left to right, and finally perform addition and subtraction from left to right.
Let's break down the expression step by step:
1. Multiply: (-35) × (516) = -18,060
2. Multiply: -18,060 × (712) = -12,837,120
3. Divide: -12,837,120 ÷ (-316) = 40,617
4. Multiply: 40,617 × (-57) = -2,314,269
Therefore, the final result is -2,314,269.
Note: It is important to keep track of the signs when multiplying and dividing negative numbers. A negative multiplied by a negative gives a positive, while a negative divided by a negative also gives a positive.