Interpreting the Remainder in Long Division

Interpret Remainders pp. 272-273

Open Ended

p.272

The remainder cannot be greater than the divisor. The wrong fact was used to divide. The correct answer is 7 R3.

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When a divisor is 3, can the remainder be 5? EXPLAIN.

When a divisor is 3, can the remainder be 5? EXPLAIN.

No; If the remainder is greater than the divisor, the division is not complete and the quotient can be increased.

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Dave is packing 23 sweaters into boxes. Each box will hold 3 sweaters. How many boxes will Dave fill? How many boxes will he need? EXPLAIN.

Dave is packing 23 sweaters into boxes. Each box will hold 3 sweaters. How many boxes will Dave fill? How many boxes will he need? EXPLAIN.

7 boxes ; 8 boxes

23 /3 = 7 R2 ; 7 full boxes and 1 partially filled box

FIND THE NUMBER OF GROUPS AND THE NUMBER LEFT OVER.

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47 / 3 = ____ with _____ left over

47 / 3 = ____ with _____ left over

15 ; 2

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29 / 2 = ____ with _____ left over

29 / 2 = ____ with _____ left over

14 ; 1

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62 / 5 = ____ with _____ left over

62 / 5 = ____ with _____ left over

12 ; 2

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86 / 6 = ____ with _____ left over

86 / 6 = ____ with _____ left over

14 ; 2

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18 / 4 = ____ with _____ left over

18 / 4 = ____ with _____ left over

4 ; 2

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22 / 6 = ____ with _____ left over

22 / 6 = ____ with _____ left over

3 ; 4

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31 / 8 = ____ with _____ left over

31 / 8 = ____ with _____ left over

3 ; 7

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32 / 9 = ____ with _____ left over

32 / 9 = ____ with _____ left over

3 ; 5

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59 football cards

3 cards on each page

How many pages can Alex complete?

59 football cards

3 cards on each page

How many pages can Alex complete?

59 / 3 = 19 R2

Ans. 19 pages

Open Ended

55 basketball cards

4 cards on each page

How many cards are on the last page?

55 basketball cards

4 cards on each page

How many cards are on the last page?

55 / 4 =13 R3

Ans. 3 cards

Open Ended

84 stickers

5 stickers on each page

How many pages will have some stickers on them?

84 stickers

5 stickers on each page

How many pages will have some stickers on them?

84 / 5 = 16 R4

Ans. 17 pages