Class 2 Carrying and Borrowing Worksheets with Online Activities

• Read which amount is known and which is missing.
• Track arrivals and departures in order.
• Keep tens aligned with tens and ones with ones.
• Exchange ten ones for one ten when adding if needed.
• Exchange one ten for ten ones before subtracting if needed.
• Use addition to check subtraction and subtraction to check addition.
• In a number wall, the upper brick is the sum of the two below.
• Explain a different route or model for the same answer.

• Let the child model a problem before writing column calculations.
• Use a bundle of ten sticks to show an equal-value exchange.
• Ask why a chosen operation matches the situation.
• Combine visible instructions, optional listening, movement and discussion without fixed learner labels.
• Keep practice short and revisit a model when an error needs explaining.

Why does a small 1 appear above the tens column? What should a child do when a subtraction starts with zero ones? These carrying and borrowing worksheets for Class 2 connect each written step to tens-and-ones models. Practise two-digit addition with carrying, subtraction with borrowing, missing digits and reasoning about equal values.

Two-Digit Addition with Carrying

Begin with the ones. In 28 + 15, eight ones and five ones make thirteen ones. Put ten of those ones into a bundle and exchange that bundle for one ten. Three loose ones remain. The tens are now two original tens, one more ten and the exchanged ten. Four tens and three ones give 43.

The small carried 1 represents a ten. It belongs with the other tens when that column is added. The Carry Token Workshop lets children mark ten ones before trading them, so the written digit has a visible meaning.

How to Show Borrowing with Tens and Ones

For 54 − 28, begin with five tens and four ones. Four ones cannot supply the eight ones being removed. Exchange one ten for ten loose ones. The new representation is four tens and fourteen ones. It still equals 54.

Now remove eight ones, leaving six. Remove two tens from the four tens, leaving two. The remaining blocks show 26. In a written calculation, changing the tens digit is essential because one of those tens has become ones.

Subtraction with Borrowing from Zero Ones

A zero ones digit does not mean subtraction is impossible. It signals that an exchange is needed before removing the ones. The Zero Ones Rescue Lab guides children through preparing the ones, removing them and then removing the required tens.

Place-Value Blocks and Equal Representations

Sixty-three can be shown as six tens and three ones or five tens and thirteen ones. The second model contains more loose pieces, but its total is unchanged. Count each long rod as ten and each small cube as one.

The Same Value Two Models activity asks learners to save two distinct representations of one number. An incorrect model is not saved. This encourages children to test an exchange rather than assume that moving blocks always changes the amount.

Checking Carrying with a Number Line

For 48 + 17, start at 48, move forward ten to 58 and then seven more to 65. The final steps cross from the fifties into the sixties. This gives a second way to check the column answer.

A ten-jump covers ten equal units, while a one-jump covers one. Use the line to explain a result after working with blocks. Children can also mark the same jumps on paper.

Missing Digit Questions with Answers

Read the position of the box carefully. A missing tens digit and a missing ones digit represent different values. Enter the digit requested, rather than the entire two-digit number.

Regrouping Word Problems with Solutions

Books arriving A shelf holds 35 books and receives 18. Join the quantities using 35 + 18 = 53 books. The thirteen ones include one exchanged ten.

Counters removed A box holds 61 counters and 27 are taken out. Represent sixty-one as five tens and eleven ones, then remove two tens and seven ones. There are 34 counters left.

Two changes A tree has 47 birds. Sixteen arrive and twenty-eight leave. Find the intermediate total 63, then calculate 63 − 28 = 35. Record both stages so the second change acts on the updated amount.

Number Walls and Regrouping Puzzles

In these puzzles, the upper brick equals the sum of the two lower bricks. Lower bricks of 24 and 18 make a top brick of 42. If the top is 43 and a lower brick is 17, the other lower brick is 26. Check the completed wall by adding its two lower values.

Common Carrying and Borrowing Mistakes

Forgetting the carried ten A robot writes 38 + 27 = 55. Its five ones are correct, but it omitted the exchanged ten. The corrected sum is 65.

Keeping the original tens after borrowing In 70 − 26, the starting model becomes six tens and ten ones. Keeping seven tens as well as the ten ones would incorrectly change the starting value to eighty.

Reversing just the ones subtraction For 56 − 28, subtracting six from eight does not solve the ones column. Exchange a ten to obtain sixteen ones, then remove eight. The correct result is 28.

Reasoning Questions about Place Value

Does carrying create extra value? No. Ten loose ones and one bundled ten are equal. Only the representation changes.

Can a subtraction check require carrying? Yes. To check 63 − 28 = 35, calculate 35 + 28. The thirteen ones require an exchange before the result returns to 63.

How can a child decide whether regrouping is needed? In these additions, inspect whether the ones total reaches ten. In these subtractions, compare the starting ones with the ones to be removed.

Using the Worksheet and Online Activities

Begin with one model, explain the exchange aloud and write the matching column steps. Then try a missing-digit or error-repair task. Use bundles of ten sticks and loose sticks for a practical version. Optional read-aloud supports listening while every question remains visible. Short sessions with discussion help children connect the written algorithm to quantities.

Two-digit addition with carrying, subtraction with borrowing, zero-ones exchanges, missing digits, column steps, number walls and place-value error diagnosis.

Arrivals can increase a group and departures can decrease it. Track each event and identify whether the starting, changing or final amount is unknown.

Ten ones are exchanged for one ten. A carried 1 in the tens column represents that exchanged ten.

One ten is represented as ten ones so that more ones are available to remove. The starting quantity stays equal during the exchange.

Reverse the stated change. If adding nine gives twenty-eight, subtract nine to find nineteen.

Here the upper brick is the sum of the two bricks directly below. A missing lower brick is a missing part of that total.

Yes. For example, 43 is four tens and three ones or three tens and thirteen ones. The equal-value lab checks two distinct representations within its limits.

Find the intermediate amount after the first event, then apply the next event to that amount.

For addition, check whether the ones total reaches ten. For subtraction, check whether the starting ones are fewer than the ones to be removed.

They stay in the quiz section and scroll out of view when the quiz ends or the learner leaves that area. The countdown continues while an attempt is running.

Read Task Aloud and Read Question use browser speech when available. Every instruction also stays visible, and Stop Reading cancels playback.

No. It provides focused two-digit carrying and borrowing practice with original activities and examples. It does not reproduce a complete textbook exercise.