Question

1. open - ended complete the subtraction problem so that you do not need to regroup to subtract. then find the difference.

1. you be the teacher your cousin finds 731 - 246. is he correct? explain.

1. model real life 453 bananas and 456 apples are shipped to a store. when they arrive, 268 of the bananas are rotten. how many bananas are not rotten?

1. dig deeper there are 432 red shirts and 293 blue shirts in stock. 516 shirts are sold. how many shirts are left?

review & refresh

1. use place value to find the missing numbers.

719, 729, ____, 749, __, __, ____

Explanation:

Step1: Fill tens place (no regroup)

To avoid regrouping, the bottom tens digit must be ≤ 5. Choose 5 (max valid value).
Subtraction:

$$\begin{array}{r} 4\ 5\ 3 \\ -2\ 5\ 1 \\ \hline \end{array}$$

Step2: Calculate difference (Q10)

Subtract each place:
Ones: $3-1=2$, Tens: $5-5=0$, Hundreds: $4-2=2$
Result: $202$

Step3: Check cousin's subtraction (Q11)

Correct regroup for $731-246$:
Ones: $1<6$, regroup tens: $3→2$, $1→11$. $11-6=5$
Tens: $2<4$, regroup hundreds: $7→6$, $2→12$. $12-4=8$
Hundreds: $6-2=4$
Correct result: $485$
Cousin's regroup error: Altered hundreds/tens incorrectly.

Step4: Calculate good bananas (Q12)

Total bananas - rotten bananas: $453-268$
Ones: $13-8=5$, Tens: $4-6→$ regroup, $14-6=8$, Hundreds: $3-2=1$
Result: $185$

Step5: Calculate remaining shirts (Q13)

Total shirts: $432+293=725$
Remaining: $725-516$
Ones: $15-6=9$, Tens: $1-1=0$, Hundreds: $7-5=2$
Result: $209$

Step6: Find sequence pattern (Q14)

Sequence increases by 10 each term:
$729+10=739$, $749+10=759$, $759+10=769$, $769+10=779$

Answer:

1. Missing digit: 5; Difference: 202
2. No, he is not correct. The correct result of $731-246$ is 485. The cousin made an error in regrouping the tens and hundreds places incorrectly.
3. 185 bananas
4. 209 shirts
5. 739, 759, 769, 779