Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(54)×(79)×(−5)÷(72)
(1 point)
Responses
−1,2258
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8
8
8
1,2258
To solve this expression, 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 simplify the multiplication and division within the expression:
(9) ÷ (54) × (79) × (-5) ÷ (72)
= (1/6) × (79) × (-5) ÷ (72) (since 9 divided by 54 equals 1/6)
= (1/6) × 79 × (-5) ÷ (72)
= (1/6) × 79 × -5 ÷ (72)
= (1/6) × -395 ÷ (72)
= -65.8333333
So, the answer is approximately -65.8333333.
Wrong
My apologies for the mistake. Let's solve the expression correctly.
(9) ÷ (54) × (79) × (-5) ÷ (72)
First, let's perform the division:
(9) ÷ (54) = 1/6
Now, let's multiply the remaining numbers from left to right:
1/6 × 79 × (-5) ÷ (72) = (1/6) × 79 × (-5/1) ÷ 72
Performing the multiplication and division:
(1/6) × 79 × (-5/1) ÷ 72 = (79 × (-5)) ÷ (6 × 72) = (-395) ÷ (432)
Finally, let's divide:
(-395) ÷ (432) = -0.9143518
So, the answer is approximately -0.9143518.
To solve the expression (9)÷(54)×(79)×(−5)÷(72) step-by-step, we can use the properties of operations and rules for multiplying and dividing:
Step 1: Divide 9 by 54: 9 ÷ 54 = 1/6
Step 2: Multiply the result from Step 1 by 79: (1/6) × 79 = 79/6
Step 3: Multiply the result from Step 2 by -5: (79/6) × (-5) = -395/6
Step 4: Divide the result from Step 3 by 72: (-395/6) ÷ 72 = -395/432
Therefore, the value of the expression is -395/432.
To solve the expression (9)÷(54)×(79)×(−5)÷(72), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to evaluate the expression from left to right.
Step 1: Perform the division operation.
(9)÷(54) = 1/6
Step 2: Perform the multiplication operations.
1/6 × (79) = 79/6
Step 3: Perform the next multiplication operation.
79/6 × (−5) = −395/6
Step 4: Perform the final division operation.
−395/6 ÷ (72) = −395/432
The answer to the expression (9)÷(54)×(79)×(−5)÷(72) is −395/432.
However, if you are looking for a decimal answer, you can convert the fraction −395/432 to a decimal by dividing the numerator (-395) by the denominator (432):
−395 ÷ 432 ≈ -0.91435 (rounded to 5 decimal places)
So, the decimal value of the expression (9)÷(54)×(79)×(−5)÷(72) is approximately -0.91435.