Division (2-digit divisors)

Advanced Math 5 · Unit 5 · two-digit-division · Teacher edition

two-digit-division

Name ______________________________Date ______________

1.
Compute $2{,}856 \div 34$ .
Answer: ______________
2.
A ribbon $1{,}574$ cm long is cut into $22$ equal pieces. How long is each piece, in cm? Give your answer as a mixed number in simplest form.
Answer: ______________
3.
A bakery packs $2{,}350$ cookies into boxes of $36$ . How many full boxes can it pack?
1. (A)
  $66$
2. (B)
  $65$
3. (C)
  $65\frac{5}{18}$
4. (D)
  $650$

Answer key — Division (2-digit divisors)

1.
84two-digit-division-01
$34 \times 8 = 272$ , remainder $13$ ; bring down the $6$ : $136 = 34 \times 4$ . So $2{,}856 \div 34 = \mathbf{84}$ exactly. Check: $34 \times 84 = 2{,}856$ . ✓
2.
787/11two-digit-division-02
$1{,}574 \div 22 = 71$ remainder $12$ , since $22 \times 71 = 1{,}562$ . Each piece is $71\frac{12}{22} = \mathbf{71\tfrac{6}{11}}$ cm.
3.
(B)
$65$
two-digit-division-03
$2{,}350 \div 36 = 65$ remainder $10$ . Ten cookies do not fill a box, so there are $\mathbf{65}$ full boxes. ( $66$ rounds up — right for “how many vans are needed,” wrong here; $65\frac{5}{18}$ is the exact quotient, not a number of boxes; $650$ is a tens-place estimating error.)