Use the properties of operations and rules for multiplying and dividing to solve:
(−35)×(516)×(712)÷(−316)×(−57)
(1 point)
((-35)×(516)×(712))÷((-316)×(-57))
= (-9,156,960) ÷ (18,012)
= -508.84
To solve the expression (−35)×(516)×(712)÷(−316)×(−57), you can simplify it step by step using the properties of operations and rules for multiplying and dividing.
Step 1: Multiply the first two numbers:
(−35) × (516) = −18,060
Step 2: Multiply the result from step 1 by the next number:
−18,060 × (712) = −12,844,320
Step 3: Divide the result from step 2 by the next number:
−12,844,320 ÷ (−316) = 40,640
Step 4: Finally, multiply the result from step 3 by the last number:
40,640 × (−57) = −2,318,080
So, the solution is −2,318,080.
To solve the expression (−35)×(516)×(712)÷(−316)×(−57), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, let's simplify the expression from left to right using multiplication and division:
Step 1: Calculate the multiplication of the first two numbers: (−35)×(516) = −18060.
Step 2: Divide the result obtained in Step 1 by the next number: −18060 ÷ (712) = −25.3778089888.
Step 3: Continue by dividing the result from Step 2 by the next number: −25.3778089888 ÷ (−316) = 0.080287734.
Step 4: Finally, multiply the result from Step 3 by the last number: 0.080287734 × (−57) = -4.579646438.
Therefore, the solution to the expression (−35)×(516)×(712)÷(−316)×(−57) is -4.579646438.