Answer: quotient: 0 remainder: 96
Explanation:
To find the quotient and remainder when dividing -3 by 100, we can use long division.
Step 1: Write down the dividend (the number being divided) and the divisor (the number we are dividing by).
-3 ÷ 100
Step 2: Start dividing. First, we look at the leftmost digit of the dividend (-3) and ask ourselves, "How many times does 100 go into -3?" Since 100 is larger than -3, the answer is 0.
Step 3: Write the 0 as the first digit of the quotient.
Quotient: 0
Step 4: Multiply the quotient digit (0) by the divisor (100) and write the product below the dividend.
0 × 100 = 0
Step 5: Subtract the product from the dividend.
-3 - 0 = -3
Step 6: Bring down the next digit of the dividend. In this case, there are no more digits, so we have finished the division.
Remainder: -3
Therefore, the quotient is 0 and the remainder is -3 when dividing -3 by 100.
Keep in mind that in some mathematical contexts, the remainder is usually non-negative, so in those cases, the remainder would be 97 instead of -3.