Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(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 can simply multiply and divide from left to right:
(−2) × (15) ÷ (23) × (−56) ÷ (34)
First, we multiply -2 and 15 to get -30:
-30 ÷ (23) × (−56) ÷ (34)
Next, we divide -30 by 23:
-30 / 23 × (−56) ÷ (34)
Then, we multiply -30/23 and -56:
(-30 / 23) × (-56) ÷ (34)
Finally, we divide the result by 34:
((-30 / 23) × (-56)) / 34
This expression can be simplified to:
(-1680 / 23) / 34
To divide fractions, we can multiply by the reciprocal of the second fraction. So we can rewrite this as:
(-1680 / 23) * (1 / 34)
Multiplying the numerators and denominators:
-1680 * 1 / 23 * 34
Simplifying further:
-1680 / 782
Therefore, the expression simplifies to -1680/782.
To solve the expression (−2)×(15)÷(23)×(−56)÷(34), we can follow the order of operations, which is typically represented by the acronym "PEMDAS" (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Multiply (-2) by 15.
(-2) × 15 = -30
Step 2: Divide -30 by 23.
-30 ÷ 23 ≈ -1.304
Step 3: Multiply -1.304 by -56.
-1.304 × -56 ≈ 73.224
Step 4: Divide 73.224 by 34.
73.224 ÷ 34 ≈ 2.157
Therefore, the solution to the expression (−2)×(15)÷(23)×(−56)÷(34) is approximately 2.157.