Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
−23
negative Start Fraction 2 over 3 End Fraction
−16
negative Start Fraction 1 over 6 End Fraction
16
Start Fraction 1 over 6 End Fraction
23
To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we need to follow the order of operations (also known as PEMDAS), which states that we should perform any operations inside parentheses first, then any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Let's simplify the expression step by step:
Step 1: (-2) × (15) = -30
Step 2: -30 ÷ (23) = -1.30434782608 (approximately)
Step 3: -1.30434782608 × (-56) = 73.0434782609 (approximately)
Step 4: 73.0434782609 ÷ (34) = 2.15284023669 (approximately)
Therefore, the solution to the expression is approximately 2.15284023669. So the correct answer is 23.
To solve the expression (−2)×(15)÷(23)×(−56)÷(34) using the properties of operations and rules for multiplying and dividing, follow these steps:
Step 1: Simplify the multiplication first:
(−2) × (15) = −30
Step 2: Simplify the division from left to right:
−30 ÷ (23) = −1.3043478260869565
Step 3: Simplify the next division:
−1.3043478260869565 × (−56) = 73.04347826086957
Step 4: Lastly, simplify the final division:
73.04347826086957 ÷ (34) = 2.151379653606638
Therefore, the result of the expression (−2)×(15)÷(23)×(−56)÷(34) is approximately 2.151379653606638.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can use the properties of operations and rules for multiplying and dividing.
Step 1: Start by multiplying the numbers from left to right:
(-2) × (15) = -30
Step 2: Divide the result by 23:
-30 ÷ 23 = -1 and remainder 7
Step 3: Multiply the result by -56:
-1 × (-56) = 56
Step 4: Divide the result by 34:
56 ÷ 34 = 1 and remainder 22
Therefore, the final result of the expression is 1 with a remainder of 22.