Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
To solve this expression using the properties of operations and rules for multiplying and dividing, we need to follow the order of operations (also known as PEMDAS or BODMAS), which states that we should perform the operations in the following order: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Let's break down the expression step by step:
(−2)×(15)÷(23)×(−56)÷(34)
First, we multiply -2 by 15:
(-2) × (15) = -30
Next, we divide -30 by 23:
-30 ÷ 23 = -1.30434782609 (rounded to decimal places)
Now, we multiply -1.30434782609 by -56:
-1.30434782609 × -56 = 73.04347826084 (rounded to decimal places)
Lastly, we divide 73.04347826084 by 34:
73.04347826084 ÷ 34 = 2.14904378534 (rounded to decimal places)
Therefore, the solution to the expression (-2)×(15)÷(23)×(-56)÷(34) is approximately 2.14904378534.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we will follow the properties of operations and rules for multiplying and dividing.
Step 1: Multiply the first two numbers:
(-2) × (15) = -30
Step 2: Divide the result from Step 1 by the next number:
-30 ÷ 23 ≈ -1.30434782609 (rounded to 11 decimal places)
Step 3: Multiply the result from Step 2 by the next number:
-1.30434782609 × (-56) ≈ 73.04347826086 (rounded to 11 decimal places)
Step 4: Divide the result from Step 3 by the last number:
73.04347826086 ÷ 34 ≈ 2.15012177796 (rounded to 11 decimal places)
Therefore, the result of (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.15012177796.