Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
16
Start Fraction 1 over 6 End Fraction
−23
negative Start Fraction 2 over 3 End Fraction
23
Start Fraction 2 over 3 End Fraction
−16
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), 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).
First, let's perform the multiplication: (-2) × (15) = -30.
Next, let's perform the divisions: -30 ÷ 23 = -1.3043... and -1.3043... × (-56) = 73.1739... and 73.1739... ÷ 34 = 2.1544...
Therefore, the answer is approximately 2.1544, which we can round to the nearest hundredth.
So, the correct answer is:
2.1544
To solve the expression (−2)×(15)÷(23)×(−56)÷(34), we can follow the order of operations (also known as PEMDAS or BODMAS) and use the properties of operations.
Step 1: Multiply the first two numbers: (-2) × (15) = -30
Step 2: Divide the result from step 1 by 23: -30 ÷ 23 = -1.3043478
Step 3: Multiply the result from step 2 by -56: -1.3043478 × -56 = 73.91304348
Step 4: Divide the result from step 3 by 34: 73.91304348 ÷ 34 = 2.172
Thus, the value of the expression is approximately 2.172.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can follow the order of operations and use the properties of operations.
Step 1: Multiply (-2) by 15
(-2) × 15 = -30
Step 2: Divide the product by 23
-30 ÷ 23 = -1.304
Step 3: Multiply the quotient by (-56)
(-1.304) × (-56) = 73.184
Step 4: Divide the result by 34
73.184 ÷ 34 ≈ 2.155
Therefore, the value of the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.155.