Regrouping from Tens to Hundreds

Core Concepts

Extend your regrouping skills! This stack focuses on problems where you need to carry over from the tens column to the hundreds column.

Regrouping from Tens to Hundreds

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If the sum in your tens column (including any carried digit) is $15$, what do you do?

You write the $5$ in the tens place of the answer and carry the $1$ to the hundreds column.

When you have $10$ tens, what do you regroup them as?

$10$ tens are regrouped as $1$ hundred.

$$490 + 290 = ?$$

$$\begin{array}{rr} & 490 \\ + & 290 \\ \hline & 780 \end{array}$$Ones: $0+0=0$. Tens: $9+9=18$. Write $8$, carry $1$. Hundreds: $1+4+2=7$.

$$265 + 81 = ?$$

$$\begin{array}{rr} & 265 \\ + & 81 \\ \hline & 346 \end{array}$$Ones: $5+1=6$. Tens: $6+8=14$. Write $4$, carry $1$. Hundreds: $1+2=3$.

$$583 + 142 = ?$$

$$\begin{array}{rr} & 583 \\ + & 142 \\ \hline & 725 \end{array}$$Ones: $3+2=5$. Tens: $8+4=12$. Write $2$, carry $1$. Hundreds: $1+5+1=7$.

$$351 + 451 = ?$$

$$\begin{array}{rr} & 351 \\ + & 451 \\ \hline & 802 \end{array}$$Ones: $1+1=2$. Tens: $5+5=10$. Write $0$, carry $1$. Hundreds: $1+3+4=8$.

When you carry from the tens place, what place value does the carried digit represent?

It represents hundreds.

In the problem $371 + 164$, what is the sum of the digits in the tens column ($7+6$)?

$13$. Because it's the tens column, this represents $13$ tens, or $130$.

When the tens column adds up to $13$ (tens), what do you do?

1. Write the $3$ in the tens place of the answer. 2. Carry the $1$ (which represents one hundred) to the top of the hundreds column.

$$371 + 164 = ?$$

$$\begin{array}{rr} & 371 \\ + & 164 \\ \hline & 535 \end{array}$$Ones: $1+4=5$. Tens: $7+6=13$. Write $3$, carry $1$. Hundreds: $1+3+1=5$.

$$182 + 253 = ?$$

$$\begin{array}{rr} & 182 \\ + & 253 \\ \hline & 435 \end{array}$$Ones: $2+3=5$. Tens: $8+5=13$. Write $3$, carry $1$. Hundreds: $1+1+2=4$.

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