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
To solve the expression (-4) × (75) × (-34) ÷ (715), follow these steps:
Step 1: Begin by multiplying -4 and 75.
-4 × 75 = -300
Step 2: Multiply the result from the previous step (-300) by -34.
-300 × -34 = 10,200
Step 3: Divide the product from step 2 (10,200) by 715.
10,200 ÷ 715 = 14.244
Therefore, the answer is approximately 14.244.
To solve this problem, we can follow the order of operations (PEMDAS) and apply the rules for multiplying and dividing signed numbers.
First, let's simplify the multiplication part:
(-4) × (75) × (-34) = 300 × (-34)
-4 × 75 = -300
Next, let's simplify the division part:
-300 ÷ (715)
To divide by 715, we can invert the divisor and multiply:
-300 ÷ (715) = -300 × (1/715)
Now, let's simplify the fraction:
1/715 = -1/(-715)
-1/(-715) = 1/715
Finally, we can calculate the division:
-300 × (1/715) = -300/715 = -60/143
Therefore, the answer is -60/143.
To solve the expression, (-4)×(75)×(-34)÷(715), we can follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) using the properties of operations and rules for multiplying and dividing signed numbers.
Step 1: Start by evaluating the multiplication within the parentheses first.
(-4)×(75)×(-34)÷(715) = -300 × (-34) ÷ 715
Step 2: Apply the rule for multiplying signed numbers.
-300 × (-34) = 10200
Step 3: Divide the result from step 2 by 715.
10200 ÷ 715 = 14.265
So, the solution to the expression (-4)×(75)×(-34)÷(715) is approximately 14.265.