Use the properties of operations and rules for multiplying and dividing to solve:
(−3)÷(34)×(27)×(−516)÷(57)
To solve the expression (-3)÷(34)×(27)×(-516)÷(57), follow these steps:
Step 1: Start with the division operation:
(-3) ÷ (34) = -0.08823529412
Step 2: Multiply the result from the division with the next number:
-0.08823529412 × 27 = -2.380952381
Step 3: Multiply the result from the previous step with the next number:
-2.380952381 × (-516) = 1228.57142857
Step 4: Lastly, divide the result from the previous step with the final number:
1228.57142857 ÷ 57 = 21.5543859655
Therefore, (-3)÷(34)×(27)×(-516)÷(57) equals 21.5543859655.
To solve the given expression:
(−3) ÷ (34) × (27) × (−516) ÷ (57)
We will follow the order of operations, which states that we must perform operations within parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
First, we'll deal with the division:
(−3) ÷ (34) ÷ (57)
To divide a number by another number, we can multiply it by the reciprocal of that number. So, we can rewrite the division as multiplication:
(−3) × (1/34) × (1/57)
Next, we'll consider the multiplication:
(−3) × (1/34) × (1/57) × (27) × (−516)
We can simplify this expression by multiplying all the numbers together:
= (−3) × (1/34) × (1/57) × (27) × (−516)
= (−1) × (3) × (1/34) × (1/57) × (27) × (−1) × (516)
Notice that a negative number multiplied by another negative number gives us a positive number. Therefore, we can rewrite the expression as:
= (−1) × (3) × (1/34) × (1/57) × (27) × (−1) × (516)
= (1) × (3) × (1/34) × (1/57) × (27) × (516)
Now, we'll simplify further using the properties of multiplication.
First, multiply the coefficients:
= 3 × 1 × 1 × 27 × 516
= 392,364
Next, multiply the fractions:
To multiply fractions, we multiply the numerators and denominators separately.
= (392,364) / ((34) × (57))
= (392,364) / (1,938)
Finally, divide:
= 202.508
So, the result of the expression (−3)÷(34)×(27)×(−516)÷(57) is 202.508.
To solve this expression, we can follow the order of operations and use the properties of multiplication and division.
First, let's simplify the multiplication and division from left to right:
(−3) ÷ (34) = -3/34
-3/34 × 27 = -81/34
-81/34 × (−516) = 4194/17
4194/17 ÷ 57 = 238/1
Therefore, the answer is 238.