how do you show your work for long division this is the question 61.2 % -7.2
To show your work for long division in order to solve the question 61.2 % -7.2, follow these steps:
Step 1: Write the problem vertically. The dividend (number being divided), which is 61.2 in this case, is written under the long division symbol, and the divisor (number performing division), which is -7.2 in this case, is written to the left of the division symbol.
-7.2 │ 61.2
Step 2: Start dividing. Ask yourself, how many times does -7.2 go into 61.2? To find the answer, divide the absolute values of both numbers, then consider the sign.
|-7.2| = 7.2
|61.2| = 61.2
Since both numbers are positive, the quotient will be positive.
Divide 61.2 by 7.2 and round to the nearest whole number:
61.2 ÷ 7.2 ≈ 8
Step 3: Multiply and subtract. Multiply the quotient (8) by the divisor (-7.2), and write the product below the dividend. Then subtract the result from the dividend.
-7.2 │ 61.2
-57.6 (8 × -7.2)
______
3.6
Step 4: Bring down the next digit. If there are any remaining digits in the dividend, write down the next digit to the right of the result of the subtraction.
-7.2 │ 61.2
-57.6 (8 × -7.2)
______
3.6
0
Step 5: Repeat the process. Divide the new number (3.6) by the same divisor (-7.2) as before.
|-7.2| = 7.2
|3.6| = 3.6
Since both numbers are positive, the quotient will be positive.
Divide 3.6 by 7.2:
3.6 ÷ 7.2 = 0.5
Step 6: Multiply and subtract again. Multiply the new quotient (0.5) by the divisor (-7.2), then subtract the result from the previous result.
-7.2 │ 61.2
-57.6 (8 × -7.2)
0.0 (0.5 × -7.2)
______
3.6
-3.6
______
0.0
Step 7: Analyze the result. When the subtraction results in zero, we have finished dividing. The final result of long division is 8.5.
Therefore, 61.2 % -7.2 = 8.5.