You can calculate the remainder using a calculator by performing the division and then using the decimal portion of the result, as described in the [Old SAT] Finding Remainders With Your Calculator YouTube video. Here's a breakdown:
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Divide the numbers: Divide the number you want to find the remainder of (the dividend) by the number you're dividing by (the divisor). For example, to find the remainder when 35 is divided by 8, calculate 35 / 8.
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Identify the whole number: Note the whole number part of the result. In our example, 35 / 8 = 4.375, so the whole number is 4.
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Isolate the decimal: Identify the decimal portion of the result (the part after the decimal point). In this case, it's 0.375.
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Multiply the decimal by the divisor: Multiply the decimal portion by the original divisor. In this case, multiply 0.375 by 8.
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The result is the remainder: The result of this multiplication is the remainder. 0.375 * 8 = 3. Therefore, the remainder when 35 is divided by 8 is 3.
Example:
Let's say we want to find the remainder of 25 divided by 6:
- Divide: 25 / 6 = 4.1666...
- Whole Number: 4
- Decimal: 0.1666...
- Multiply: 0.1666... * 6 ≈ 1
- Remainder: 1 (approximately, due to rounding of the decimal)
In Summary:
The process involves these steps:
| Step | Description | Example (35 / 8) |
|---|---|---|
| 1. Divide | Perform the division. | 35 / 8 = 4.375 |
| 2. Isolate Decimal | Note the decimal portion of the result. | 0.375 |
| 3. Multiply by the Divisor | Multiply the decimal by the original divisor. | 0.375 * 8 |
| 4. Remainder | The result is the remainder. | 3 |
