Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
−23
negative Start Fraction 2 over 3 End Fraction
−16
negative Start Fraction 1 over 6 End Fraction
16
To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we can follow the order of operations (PEMDAS) and simplify each operation one by one:
First, we multiply -2 and 15:
(-2) × (15) = -30
Next, we divide -30 by 23:
-30 ÷ 23 ≈ -1.3043
Then, we multiply -1.3043 by -56:
-1.3043 × -56 ≈ 73.2148
Finally, we divide 73.2148 by 34:
73.2148 ÷ 34 ≈ 2.1551
Thus, the simplified value of the expression (-2)×(15)÷(23)×(-56)÷(34) is approximately 2.1551.
To solve the expression (−2)×(15)÷(23)×(−56)÷(34), we will follow the rules for multiplying and dividing.
1. Start by multiplying -2 and 15:
(-2) × (15) = -30
2. Divide the result from step 1 by 23:
-30 ÷ 23 ≈ -1.3043 (rounded to 4 decimal places)
3. Multiply the result from step 2 by -56:
-1.3043 × (-56) ≈ 73.1384 (rounded to 4 decimal places)
4. Divide the result from step 3 by 34:
73.1384 ÷ 34 ≈ 2.1511 (rounded to 4 decimal places)
Therefore, the solution to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1511.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can follow the order of operations, which is BIDMAS or PEMDAS.
BIDMAS stands for Brackets (or Parentheses), Indices (or Exponents), Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
In this case, we can simplify the expression step by step:
Step 1: Multiplying (-2) and (15)
(-2) × (15) = -30
Step 2: Dividing (-30) and (23)
(-30) ÷ (23) = -1.3043478260869565 (approximated to 16 decimal places)
Step 3: Multiplying (-1.3043478260869565) and (-56)
(-1.3043478260869565) × (-56) = 73.04347826086956 (approximated to 16 decimal places)
Step 4: Dividing (73.04347826086956) and (34)
(73.04347826086956) ÷ (34) = 2.1504117647058824 (approximated to 16 decimal places)
So, the final answer is approximately 2.1504117647058824.