Use the properties of operations and rules for multiplying and dividing to solve: (89)×(−34)÷(19)×(−45)÷(35)
To solve this problem, we can multiply and divide in any order. Let's begin:
(89) × (−34) ÷ (19) × (−45) ÷ (35)
First, let's multiply the first two numbers:
(89) × (−34) = -3026
Now, let's divide by 19:
-3026 ÷ (19) = -159.263
Next, let's multiply by -45:
-159.263 × (−45) = 7166.835
Finally, let's divide by 35:
7166.835 ÷ (35) = 204.767
To solve the given expression (89)×(−34)÷(19)×(−45)÷(35), we can apply the properties of operations and the rules for multiplying and dividing.
Step 1: Multiply
First, let's multiply the numbers together from left to right:
(89) × (−34) ÷ (19) × (−45) ÷ (35)
= (89 × −34) ÷ (19) × (−45) ÷ (35)
= −3026 ÷ 19 × (−45) ÷ (35)
= −3026 ÷ 19 × −45 ÷ 35
Step 2: Divide
Next, let's divide the numbers together from left to right:
= −3026 ÷ 19 × −45 ÷ 35
= (−3026 ÷ 19) × (−45 ÷ 35)
= −159.263157894736842 × −1.2857142857142857
= 204.21052631578947
Therefore, the solution to the expression (89) × (−34) ÷ (19) × (−45) ÷ (35) is approximately 204.2105.
To solve the expression (89) × (-34) ÷ (19) × (-45) ÷ (35), we can follow the order of operations, which states that we should perform multiplication and division from left to right before addition and subtraction.
Step 1: Multiply 89 by -34.
89 × (-34) = -3026
Step 2: Divide the product from step 1 by 19.
-3026 ÷ 19 = -159.26 (rounded to two decimal places)
Step 3: Multiply the result from step 2 by -45.
-159.26 × (-45) = 7166.7 (rounded to one decimal place)
Step 4: Divide the result from step 3 by 35.
7166.7 ÷ 35 = 204.76 (rounded to two decimal places)
Therefore, (89) × (-34) ÷ (19) × (-45) ÷ (35) equals approximately 204.76.