Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
negative Start Fraction 2 over 3 End Fraction
−16
To solve this expression, we can apply the properties of operations and rules for multiplying and dividing.
First, we will multiply the numbers together from left to right:
(−2) × (15) = −30
Next, we will divide the result by the next number:
−30 ÷ (23) = −1.30 (approx.)
Continuing, we will multiply the result by the next number:
−1.30 × (−56) = 72.8 (approx.)
Finally, we will divide the result by the last number:
72.8 ÷ (34) = 2.14 (approx.)
Therefore, the value of the expression is approximately 2.14.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), follow the order 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 23: -30 ÷ 23 = -1.3043478 (approximately).
Step 3: Multiply the result from step 2 by -56: -1.3043478 × (-56) = 73.043478 (approximately).
Step 4: Divide the result from step 3 by 34: 73.043478 ÷ 34 = 2.1470588 (approximately).
Therefore, the final answer is approximately 2.1470588.