Use the properties of operations and rules for multiplying and dividing to solve: (−3)÷(34)×(27)×(−516)÷(57) (1 point)
To solve the expression (-3)÷(34)×(27)×(-516)÷(57), we can apply the properties of division and multiplication.
First, divide -3 by 34:
(-3) ÷ 34 = -0.0882 (rounded to four decimal places)
Next, multiply the result by 27:
-0.0882 × 27 = -2.3802 (rounded to four decimal places)
Then, multiply by -516:
-2.3802 × -516 = 1228.2712 (rounded to four decimal places)
Finally, divide by 57:
1228.2712 ÷ 57 ≈ 21.5309 (rounded to four decimal places)
Therefore, the value of the expression (-3)÷(34)×(27)×(-516)÷(57) is approximately 21.5309.
To solve this expression step-by-step, we will follow the order of operations, which states that multiplication and division are performed from left to right.
First, we will evaluate the division operation:
(-3) ÷ (34) = -0.0882 (rounded to four decimal places)
Next, we will perform the multiplication operations:
-0.0882 × (27) = -2.3834 (rounded to four decimal places)
-2.3834 × (-516) = 1229.0608 (rounded to four decimal places)
Finally, we will perform the remaining division operation:
1229.0608 ÷ (57) = 21.5895 (rounded to four decimal places)
So, the result of the expression is approximately 21.5895.
To solve the expression (-3) ÷ (34) × (27) × (-516) ÷ (57), we can follow the order of operations and the rules for multiplying and dividing.
Step 1: Start with the division within the expression.
Since (-3) ÷ (34) = -0.0882 (rounded to 4 decimal places), we can rewrite the expression as:
-0.0882 × (27) × (-516) ÷ (57).
Step 2: Apply the multiplication.
(-0.0882) × (27) = -2.3814 (rounded to 4 decimal places), so the expression becomes:
-2.3814 × (-516) ÷ (57).
Step 3: Continue with the multiplication.
(-2.3814) × (-516) = 1230.5124 (rounded to 4 decimal places), resulting in:
1230.5124 ÷ (57).
Step 4: Evaluate the final division.
1230.5124 ÷ (57) = 21.5926 (rounded to 4 decimal places).
Thus, the solution to the expression (-3) ÷ (34) × (27) × (-516) ÷ (57) is approximately 21.5926.