Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(75)×(−34)÷(715)
To solve this expression, we'll follow the rules for multiplying and dividing signed numbers.
First, let's perform the multiplication: (-4) × (75) × (-34)
The product of two negative numbers is positive, so:
(-4) × (75) × (-34) = 4 × 75 × 34
Next, let's perform the division: 4 × 75 × 34 ÷ 715
Multiplication and division can be performed in any order, so let's simplify the multiplication first:
4 × 75 × 34 = 12,900
Now, let's perform the division:
12,900 ÷ 715
Dividing 12,900 by 715 gives us approximately 18:
12,900 ÷ 715 ≈ 18
So, (-4) × (75) × (-34) ÷ (715) = 18
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se the properties of operations and rules for multiplying and dividing signed numbers to solve: (−4)×(7/5)×(−3/4)÷(7/15)
To solve the expression (-4)×(75)×(-34)÷(715), we will apply the properties of operations and rules for multiplying and dividing signed numbers step-by-step:
Step 1: Multiply the first two numbers, (-4) and (75).
(-4) × (75) = -300
Step 2: Multiply the result from step 1 by the next number, (-34).
-300 × (-34) = 10,200
Step 3: Divide the result from step 2 by the last number, (715).
10,200 ÷ 715 = 14.256
Therefore, (-4)×(75)×(-34)÷(715) equals 14.256.
Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
To solve the expression (-4) × (75) × (-34) ÷ (715), we can follow the rules for multiplying and dividing signed numbers.
Step 1: Multiply the numbers (-4) × (75) × (-34)
To multiply the numbers, we can simply multiply them together ignoring the negative signs for now:
(-4) × (75) × (-34) = 4 × 75 × 34
Step 2: Multiply the absolute values of the numbers
Multiplying the absolute values of the numbers, we get:
4 × 75 × 34 = 10,200
Step 3: Determine the sign of the result based on the number of negative signs
To determine the sign of the result, we count the number of negative signs in the original expression. In this case, we have three negative signs (-4, -34, and the division sign ÷). Since the number of negative signs is odd (3), the result will be negative.
Step 4: Apply the sign to the result
Applying the negative sign to the result, we have:
10,200 → -10,200
Step 5: Divide the result by the number 715
To perform the division, we take the result from step 4 (-10,200) and divide it by 715:
-10,200 ÷ 715 = -14.25
Therefore, the solution to the expression (-4) × (75) × (-34) ÷ (715) is -14.25.