The Correct Answer and Explanation is:
The correct answer is 5.2.
To find the quotient for the problem 145.6 ÷ 28, we can use the method of long division. The quotient is the result obtained from dividing one number by another. In this problem, 145.6 is the dividend (the number being divided) and 28 is the divisor (the number we are dividing by).
Here is a step-by-step explanation of the long division process:
- Set up the problem: Write the divisor, 28, to the left of the division bracket and the dividend, 145.6, inside the bracket.
- Divide the first part of the dividend: Look at the first few digits of the dividend. The number 28 cannot go into 1, and it cannot go into 14. So, we must consider the first three digits, 145. We need to determine how many times 28 fits into 145. To estimate this, you can round 28 to 30. Thinking about how many times 30 goes into 145, a good guess would be 4 or 5. Let’s try 5. We multiply 5 by 28, which equals 140. Since 140 is less than 145, 5 is the correct digit. We write the 5 above the 5 in the dividend.
- Subtract and bring down: Subtract 140 from 145, which leaves a remainder of 5. Now, we look at the dividend again. The next thing we encounter is the decimal point. We must place a decimal point in our answer (the quotient) directly above the decimal point in the dividend. After placing the decimal, we bring down the next digit from the dividend, which is 6. We place the 6 next to the remainder 5, forming the number 56.
- Repeat the division process: Now we need to divide 56 by 28. We ask how many times 28 goes into 56. A quick calculation shows that 28 multiplied by 2 is exactly 56. So, we write the digit 2 in the quotient after the decimal point.
- Final subtraction: We multiply our new digit, 2, by the divisor, 28, to get 56. We subtract this from the 56 we had, resulting in a remainder of 0. Since the remainder is 0 and there are no more digits to bring down, the division is complete.
