Use the properties of operations and rules for multiplying and dividing to solve: (−2)×(15)÷(23)×(−56)÷(34) (1 point) .
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To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we can follow the order of operations.
First, we do the multiplication and division from left to right.
(-2) × (15) = -30
-30 ÷ (23) = -1.3043478260869565
-1.3043478260869565 × (-56) = 73.04347826086956
73.04347826086956 ÷ (34) ≈ 2.1504040971128607
Therefore, the answer is approximately 2.1504.
To solve the expression (−2)×(15)÷(23)×(−56)÷(34), we need to follow the order of operations, which is parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Step 1: Solve the multiplication:
(-2) × (15) = -30
Step 2: Apply the division:
-30 ÷ (23) = -1.3043478260869565 (approximately)
Step 3: Continue applying the division:
-1.3043478260869565 × (-56) = 73.04347826086957 (approximately)
Step 4: Perform the final division:
73.04347826086957 ÷ (34) = 2.150997601919465 (approximately)
So, (-2)×(15)÷(23)×(-56)÷(34) is approximately equal to 2.150997601919465.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we need to 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).
The expression contains only multiplication and division operations, so we can simplify it by performing those operations in the order they appear from left to right.
Step 1: Multiply the first two numbers:
(-2) × (15) = -30
Step 2: Divide the result from Step 1 by the next number:
-30 ÷ (23) = -1.304347826086957
Step 3: Multiply the result from Step 2 by the next number:
-1.304347826086957 × (-56) = 73.13913043478261
Step 4: Divide the result from Step 3 by the last number:
73.13913043478261 ÷ (34) ≈ 2.152030667
Therefore, the value of the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.152030667.