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Verify Long Division Problems (5th Grade Math)
Mathematics
Grade 5
Question Content
7. Complete each long division problem: a) 2 ÷ 1,764 with quotient 882; b)9 ÷ 513 with quotient 57; c)4 ÷ 296 with quotient 74.
Correct Answer
a) 2 × 882 = 1,764; b)9 × 57 = 513; c)4 ×74=296. All problems are correct as written.
Detailed Solution Steps
1
Step 1: For long division, the formula is: Dividend = Divisor × Quotient. For problem a: 2 × 882 = 1,764, which matches the dividend 1,764.
2
Step 2: For problem b: 9 × 57 = 513, which matches the dividend 513.
3
Step 3: For problem c: 4 ×74=296, which matches the dividend 296. All problems are correctly solved.
Knowledge Points Involved
1
Long Division Verification
To verify a long division problem, multiply the divisor by the quotient. The result should equal the dividend. This uses the relationship: Dividend = Divisor × Quotient (when there is no remainder).
2
Multiplication as Inverse of Division
Multiplication is the inverse operation of division. This means that if a ÷ b = c, then b × c = a. This is used to check division answers for accuracy.
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