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Questions and Answers
Long division can be used to divide single-digit numbers only.
Long division can be used to divide single-digit numbers only.
False
The dividend is the number that is being divided in the long division process.
The dividend is the number that is being divided in the long division process.
True
In long division, the first step involves adding digits of the dividend.
In long division, the first step involves adding digits of the dividend.
False
The remainder is always equal to the divisor once the division process is complete.
The remainder is always equal to the divisor once the division process is complete.
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If the result of the subtraction in long division is greater than the divisor, the process needs to be repeated with the new number.
If the result of the subtraction in long division is greater than the divisor, the process needs to be repeated with the new number.
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When dividing 128 by 4 using long division, the quotient is 32.
When dividing 128 by 4 using long division, the quotient is 32.
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In long division, the multiplication of the divisor by the quotient is the last step before bringing down the next digit.
In long division, the multiplication of the divisor by the quotient is the last step before bringing down the next digit.
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The process of long division is only necessary when the dividend is an odd number.
The process of long division is only necessary when the dividend is an odd number.
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Study Notes
Introduction to Long Division
- Long division is a method for dividing large numbers step-by-step to find the quotient and remainder.
- It's crucial for dividing multi-digit numbers efficiently.
Setting Up the Problem
- Arrange the dividend (the number being divided) inside the division symbol.
- Place the divisor (the number dividing) outside the symbol.
- Example: To divide 723 by 3, the setup is: 3 | 723
Dividing the First Digit(s)
- Begin by dividing the divisor into the initial digit(s) of the dividend.
- Estimate the quotient for the first division.
- Place the quotient above the corresponding digit(s) in the dividend.
- Multiply the divisor by the estimated quotient.
- Write the result below the corresponding part of the dividend.
- Subtract this result from the part of the dividend being used.
Bringing Down the Next Digit
- Bring down the next digit from the dividend to the right of the result of the subtraction.
- This combined value forms the new number for the next step of division.
Repeating the Process
- Repeat steps 2-4 until all digits of the dividend have been processed.
- Continue dividing the divisor into the new number from step 3.
- Record all quotients above the dividend to track the steps.
Finding the Remainder
- Check for a remainder after all the digits have been processed.
- If the result from the subtraction is 0 or less than the divisor, this value is the remainder.
- If the result of the subtraction is greater than the divisor, return to step 2 with the new number.
Example
- Dividing 128 by 4:
- Setup: 4 | 128
- Divide 4 into 12 (the first part of the dividend): 12 / 4 = 3 Place 3 above the 2.
- Multiply 4 by 3: 4 * 3 = 12. Place 12 under the 12.
- Subtract 12 from 12: 12 - 12 = 0. Place 0. Bring down the 8.
- Divide 4 into 8 (the new number): 8 / 4 = 2. Place 2 above the 8.
- Multiply 4 by 2: 4 * 2 = 8. Place 8 under the 8.
- Subtract 8 from 8: 8 - 8 = 0.
- No remainder; the answer is 32.
Understanding Quotient and Remainder
- The quotient is the result of the division.
- The remainder is the remaining value if the division does not result in an exact whole number.
- Example: 135 / 4 = 33 with a remainder of 3. This can be expressed as 135 = (4 * 33) + 3.
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Description
This quiz covers the basics of long division, a method for dividing large numbers efficiently. It explains the setup of the problem, the process of dividing the dividend, and the steps involved in finding the quotient and remainder. Practice your division skills with this interactive quiz!
