Use the properties of operations and rules for multiplying and dividing to solve:
(89)×(−34)÷(19)×(−45)÷(35)
(1 point)
To solve this expression, we'll use the properties of operations and the rules for multiplying and dividing.
First, let's multiply the numbers together, following the order of operations (multiplication and division before addition and subtraction):
(89)×(−34)÷(19)×(−45)÷(35) = (89 * -34 * -45) / (19 * 35)
Multiplying the numbers:
89 * -34 * -45 = 130,890
Now, let's divide the resulting number by the product of 19 and 35:
130,890 ÷ (19 * 35)
To simplify this further, let's first calculate the product of 19 and 35:
19 * 35 = 665
Now we can divide 130,890 by 665:
130,890 ÷ 665 = 197
Therefore, (89)×(−34)÷(19)×(−45)÷(35) = 197.
To solve the given expression step-by-step, we will follow the order of operations, which is often remembered using the acronym "PEMDAS" (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression:
(89) × (-34) ÷ (19) × (-45) ÷ (35)
1. We start with the multiplication and division from left to right:
(89) × (-34) = -3026
2. Next, we divide by 19:
-3026 ÷ (19) = -159.2632 (rounded to 4 decimal places)
3. Moving on, we multiply by -45:
-159.2632 × (-45) = 7166.8404 (rounded to 4 decimal places)
4. Finally, we divide by 35:
7166.8404 ÷ (35) = 204.768 (rounded to 3 decimal places)
Therefore, the value of the expression (89) × (-34) ÷ (19) × (-45) ÷ (35) is approximately 204.768.
To solve the expression (89)×(−34)÷(19)×(−45)÷(35), we need to apply the properties of operations and rules for multiplying and dividing.
Step 1: Multiply 89 and -34.
89 × -34 = -3026
Step 2: Divide the result from Step 1 by 19.
-3026 ÷ 19 = -159.2631579 (rounded to decimal places)
Step 3: Multiply the result from Step 2 by -45.
-159.2631579 × -45 = 7161.842105 (rounded to decimal places)
Step 4: Finally, divide the result from Step 3 by 35.
7161.842105 ÷ 35 ≈ 204.6249171 (rounded to decimal places)
Therefore, (89)×(−34)÷(19)×(−45)÷(35) is approximately equal to 204.6249171.