Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
What is the answer out of theses
(1 point)
Responses
−16
negative Start Fraction 1 over 6 End Fraction
23
Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
To solve this expression, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
1. First, we multiply -2 and 15:
(-2) × (15) = -30.
2. Next, we divide -30 by 23:
-30 ÷ 23 = -1.3043 (rounded to 5 decimal places).
3. Then, we multiply -1.3043 by -56:
-1.3043 × -56 = 73.0128 (rounded to 4 decimal places).
4. Finally, we divide 73.0128 by 34:
73.0128 ÷ 34 = 2.1471 (rounded to 4 decimal places).
Therefore, the answer is approximately 2.1471, which is closest to the option "23" (Start Fraction 2 over 3 End Fraction). However, none of the given options match the correct answer.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), you will follow the order of operations (PEMDAS/BODMAS) where multiplication and division are performed from left to right.
Step 1: Multiply (-2) and (15):
(-2) × (15) = -30
Step 2: Divide (-30) by (23):
-30 ÷ 23 ≈ -1.304347826
Step 3: Multiply (-1.304347826) by (-56):
(-1.304347826) × (-56) ≈ 73.04347826
Step 4: Divide 73.04347826 by 34:
73.04347826 ÷ 34 ≈ 2.15089847
Therefore, the answer to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.15089847.