Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(54)×(79)×(−5)÷(72)
(1 point)
Responses
8
8
−8
negative 8
1,2258
Start Fraction 1,225 over 8 End Fraction
−1,2258
To solve the expression (9) ÷ (54) × (79) × (-5) ÷ (72), you need to follow the order of operations, which means performing the division and multiplication from left to right.
First, perform the division:
(9) ÷ (54) = 1/6
Next, perform the multiplication:
1/6 × (79) = 79/6
Then, multiply by (-5):
79/6 × (-5) = -395/6
Finally, divide by (72):
-395/6 ÷ 72 = -395/432
Therefore, the solution is -395/432.
To solve the expression (9)÷(54)×(79)×(−5)÷(72), we follow the order of operations, which is parentheses, multiplication/division (from left to right), and then addition/subtraction (from left to right).
Step 1: Simplify the division and multiplication from left to right.
First, divide 9 by 54:
9 ÷ 54 = 0.1667 (rounded to four decimal places)
Next, multiply the result by 79:
0.1667 × 79 = 13.0933 (rounded to four decimal places)
Then, multiply the result by -5:
13.0933 × -5 = -65.4667 (rounded to four decimal places)
Finally, divide the result by 72:
-65.4667 ÷ 72 = -0.9088 (rounded to four decimal places)
Therefore, the final answer is -0.9088.
To solve the given expression, we can use the properties of operations and rules for multiplying and dividing.
Step 1: Start by performing the division operation. Divide 9 by 54 to get:
(9) ÷ (54) = 1/6
Step 2: Next, multiply the result from step 1 with the next number, which is 79:
1/6 × 79 = 79/6
Step 3: Multiply the result from step 2 with the next number, which is -5:
79/6 × (-5) = -395/6
Step 4: Finally, divide the result from step 3 by 72:
-395/6 ÷ 72 = -395/432
Therefore, the simplified answer is -395/432.