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Explain the importance of understanding basic division for learning long division.
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Understanding basic division is crucial because long division builds on these fundamentals, requiring the same concepts but with more complex steps.
Solve the practice problem: 14 divided by 3.
14 divided by 3 equals 4 remainder 2, since 4 x 3 = 12 and 14 - 12 = 2.
What division symbol is introduced for more complex division problems?
The division symbol introduced is represented by a horizontal line with the dividend below it and the divisor outside the curved part.
In the division problem 9 divided by 4, what is the quotient and what is the remainder?
The quotient is 2 and the remainder is 1.
What does it mean when a division problem has a remainder?
A remainder means that after dividing, there is a portion of the dividend that is not evenly divisible by the divisor.
How do you handle a division problem where the dividend and divisor are not part of a fact family?
You determine how many times the divisor fits into the dividend without exceeding it, then calculate any remainder that is left.
How many main parts are there in a division problem and what are they?
There are three main parts: the dividend (number being divided), the divisor (number dividing), and the quotient (result of the division).
What question helps you decide the quotient in a division problem?
The key question is: 'How many times does the divisor go into the dividend without exceeding it?'
How can you check if your division answer is correct?
Multiply the quotient by the divisor and add the remainder if any. The result should equal the original dividend.
Solve the division problem 57 divided by 6.
57 divided by 6 equals 9 remainder 3, since 9 x 6 = 54 and 57 - 54 = 3.
What is the definition of the dividend in a division problem?
The dividend is the number being divided, placed under the horizontal line of the division symbol.
Describe the procedure for solving the division problem 23 divided by 5.
Set up the problem with 23 as the dividend and 5 as the divisor. Find that 5 goes into 23 four times (4 x 5 = 20), subtract 20 from 23 to get a remainder of 3. So, 23 divided by 5 equals 4 remainder 3.
What is the role of multiplication in solving a division problem?
Multiplication helps determine the nearest multiple of the divisor without exceeding the dividend.
If the result of a division problem is 2 with a remainder of 3, and the divisor is 4, what was the dividend?
The dividend was 11, because 2 x 4 + 3 = 11.
Why is it invalid to choose a quotient that results in a product greater than the dividend?
Choosing a quotient that results in a product greater than the dividend means you have overestimated how many times the divisor fits into the dividend.
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