Use the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(75)×(−34)÷(715) (1 point) Responses 14775 Start Fraction 147 over 75 End Fraction −9 negative 9 9 9 −14775
A. 147/75
B. -9
C. 9
D. -147/75
D. -147/75
To solve the expression (-4) × (75) × (-34) ÷ (715), we can follow the properties of operations and rules for multiplying and dividing signed numbers.
First, we start by calculating the multiplication:
(-4) × (75) × (-34) = (-4) × (-75) × 34 = 300 × 34 = 10,200
Then, we divide the result by 715:
10,200 ÷ 715 = 14.265
Since none of the answer choices match this result, we can conclude that none of the options A, B, C, or D are correct.
To solve the expression (-4) × (75) × (-34) ÷ (715), we can follow these steps:
Step 1: Multiply the first two numbers: (-4) × (75) = -300.
Step 2: Now, multiply the result from step 1 by the third number: -300 × (-34) = 10200.
Step 3: Finally, divide the result from step 2 by the last number: 10200 ÷ 715 = 14.295.
Since the question is asking for the answer to one decimal place, we round the result to one decimal place and get 14.3.
Therefore, the correct answer is C. 9