Find the quotient and explain the process and reasoning.
0.27 ÷ 0.03 =
i dont understand this?
0.27 ÷ 0.03 = 0.27 * 100 ÷ 0.03 * 100 = 27 ÷ 3 = 9
To find the quotient of 0.27 ÷ 0.03, we need to divide 0.27 by 0.03.
Here's how you can do it:
Step 1: Make sure both numbers have the same number of decimal places. In this case, both numbers already have two decimal places, so we don't need to do anything.
Step 2: Set up the long division. Write 0.27 as the dividend (the number being divided) and 0.03 as the divisor (the number dividing the dividend).
_________
0.03 │ 0.27
Step 3: Start dividing. Ask yourself, how many times does 0.03 go into 0.27?
The answer is 9, because 0.03 multiplied by 9 equals 0.27 (0.03 x 9 = 0.27).
Write the answer, 9, directly above the dividing line.
9
0.03 │ 0.27
Step 4: Subtract. Multiply the divisor (0.03) by the quotient (9), and write the result below the number you've just subtracted from.
-0.27
-------
0.00
Step 5: Check if there's anything left to divide. In this case, there's nothing left, so you've finished the division.
Step 6: Write the final quotient. The final quotient is 9.
So, 0.27 ÷ 0.03 = 9.
The reasoning behind this process is that division is the inverse operation of multiplication. When dividing, we start with the dividend (0.27) and try to find out how many times the divisor (0.03) can be subtracted from it. We continue this until there's nothing left to divide or until we reach the desired level of precision.