Use the properties of operations and rules for multiplying and dividing to solve: (−3)÷(34)×(27)×(−516)÷(57)
To solve this expression, we can start by multiplying and dividing from left to right, following the order of operations.
First, we can multiply:
(-3) ÷ (34) × (27) × (-516) ÷ (57) = (-3/34) × (27) × (-516) ÷ (57)
Next, we can divide:
(-3/34) × (27) × (-516) ÷ (57) = (-3/34) × (27) × (-516/57)
Now, let's simplify each part:
(-3/34) × (27) × (-516/57) = (-3 × 27 × -516) / (34 × 57)
(-3 × 27 × -516) = 41,868
(34 × 57) = 1938
Finally, we can divide:
41,868 / 1938 = 21.6
Therefore, (-3) ÷ (34) × (27) × (-516) ÷ (57) equals 21.6.
To solve the expression (-3) ÷ (34) × (27) × (-516) ÷ (57), we can follow the order of operations. The order of operations states that we should perform 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:
(-3) ÷ (34) × (27) × (-516) ÷ (57)
Step 1: Perform the division from left to right:
-3 ÷ 34 = -0.088235294
Step 2: Multiply the result by 27:
-0.088235294 × 27 = -2.382352942
Step 3: Multiply the result by -516:
-2.382352942 × -516 = 1228.764705912
Step 4: Divide the result by 57:
1228.764705912 ÷ 57 = 21.536528889
Therefore, (-3) ÷ (34) × (27) × (-516) ÷ (57) simplifies to 21.5365 (rounded to 4 decimal places).
To solve the expression (-3) ÷ (34) × (27) × (-516) ÷ (57), we can follow the order of operations and use the rules for multiplying and dividing.
Step 1: Evaluate the division (-3) ÷ (34)
To divide two numbers with different signs, the result is negative. So, (-3) ÷ (34) = -3/34.
Step 2: Evaluate the multiplication (-3/34) × (27)
When multiplying fractions, multiply the numerators and multiply the denominators. So, (-3/34) × (27) = (-3 × 27) / (34).
Step 3: Evaluate the multiplication (-3 × 27) / (34)
Multiply the numerator and denominator: (-3 × 27) = -81.
So, (-3 × 27) / (34) = -81/34.
Step 4: Evaluate the multiplication (-81/34) × (-516)
When multiplying two fractions with different signs, the result is positive. So, (-81/34) × (-516) = (81 × 516) / (34).
Step 5: Evaluate the division (81 × 516) / (34)
Multiply the numerator and denominator: (81 × 516) = 41796.
So, (81 × 516) / (34) = 41796/34.
Step 6: Evaluate the division 41796/34
Divide the numerator by the denominator: 41796 ÷ 34 = 1232.
Therefore, the solution to the expression (-3) ÷ (34) × (27) × (-516) ÷ (57) is 1232.