114
Division with a remainder (review)
Textbook: Part 4, lesson 114, pp. 13–15
GoalUse the formula for division with a remainder a = b × c + r; know that the remainder is less than the divisor.
New words
dividend · bo‘linuvchidivisor · bo‘luvchiquotient (whole part) · to‘liqmas bo‘linmaremainder · qoldiq
Explanation
When a is divided by b, a = b × c + r, where a is the dividend, b the divisor, c the quotient (whole part) and r the remainder. The remainder is always smaller than the divisor: r < b. To check a division we calculate b × c + r, which must equal a.
Worked examples
47 : 6 = 7 remainder 5. Check: 6 × 7 + 5 = 42 + 5 = 47.
If the divisor is 8, the quotient is 9 and the remainder is 3, then the dividend is a = 8 × 9 + 3 = 75.
Class activity
“Where is the remainder?”: children group 23 counters in fours, find the number of groups and the number left over, then write a = b × c + r. Repeat with other numbers.
Practice
1
Find the dividend: divisor 9, quotient 7, remainder 4.
67
2
Divide 59 : 8 with a remainder.
7 remainder 3
3
58 apples were packed 8 to a box. How many boxes were filled?
7
4
Which number gives quotient 7 and remainder 9 when divided by 12?
93