To find a missing dividend in a division problem, you multiply the divisor by the quotient and then add the remainder (if any).
Here's a breakdown of the process:
Understanding the Parts of a Division Problem
- Dividend: The number being divided.
- Divisor: The number you are dividing by.
- Quotient: The result of the division (the whole number answer).
- Remainder: The amount left over after the division, if the divisor doesn't divide the dividend evenly.
The relationship can be expressed in the following formula:
Dividend = (Divisor × Quotient) + Remainder
Steps to Find the Missing Dividend
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Multiply the divisor and the quotient: This gives you the result of the division before considering any remainder.
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Add the remainder (if any) to the result from Step 1: This accounts for the portion of the dividend that wasn't evenly divisible by the divisor.
Example 1: No Remainder
Let's say we have the following division problem where the dividend is missing:
? ÷ 5 = 7
Here, the divisor is 5, and the quotient is 7. Since no remainder is given, we assume it's 0.
- Step 1: 5 × 7 = 35
- Step 2: 35 + 0 = 35
Therefore, the missing dividend is 35. The complete division problem is:
35 ÷ 5 = 7
Example 2: With a Remainder
Let's say we have the following division problem where the dividend is missing:
? ÷ 8 = 6 R 3
Here, the divisor is 8, the quotient is 6, and the remainder is 3.
- Step 1: 8 × 6 = 48
- Step 2: 48 + 3 = 51
Therefore, the missing dividend is 51. The complete division problem is:
51 ÷ 8 = 6 R 3
In summary, to find a missing dividend, remember the formula: Dividend = (Divisor × Quotient) + Remainder
