Addition•Grade 4•Vertical Format

Grade 4 Multi-Digit Addition (Standard Algorithm)

Sixteen four-digit addition problems for grade 4, worked with the standard algorithm and carrying through several columns. Free PDF with answers.

CCSSAligned to Common Core 4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Add using the standard algorithm. Line up the place values and carry where needed.

  1. 1.
    5235
    +4251
  2. 2.
    7510
    +5952
  3. 3.
    4628
    +4173
  4. 4.
    8955
    +5385
  5. 5.
    5216
    +5944
  6. 6.
    3067
    +7353
  7. 7.
    3459
    +7018
  8. 8.
    3914
    +1356
  9. 9.
    9302
    +8799
  10. 10.
    2592
    +7623
  11. 11.
    6669
    +6073
  12. 12.
    8028
    +2579
  13. 13.
    3339
    +1494
  14. 14.
    7752
    +1972
  15. 15.
    7367
    +9461
  16. 16.
    7159
    +9826

What this worksheet covers

This is a 16-problem vertical format for grade 4 addition, printed in black and white with the key on page two. What makes this set particular: fifteen of the sixteen column problems need regrouping and the rest do not, so the two cases are mixed rather than blocked and the numbers run as high as 9,826. Problems 6 and 11, for instance, are "3067 + 7353" and "6669 + 6073". The sheet sits inside Common Core 4.NBT.4, in the grade 4 Number & Operations in Base Ten strand.

Skills practiced

The grade 4 addition sequence covers the standard algorithm on four- and five-digit numbers; this page sits inside it. What a student is asked to do here is grade 4 Multi-Digit Addition (Standard Algorithm). Working the page asks a student to carry or borrow across place-value columns without losing a digit.

About the vertical format format

Vertical format stacks the two operands over a rule with space above for regrouped digits; the 16 problems, problem 6, "3067 + 7353" among them, sit four to a row. Stacked operands make the place-value columns visible, which is what regrouping actually depends on.

Set A, Set B and Set C

Set A is the original sheet; Sets B and C redraw each problem with the same shape and recomputed answers. Where Set A's problem 9 is "9302 + 8799", Set B's is "1241 + 5538".

How to use this worksheet

Give this vertical format uninterrupted. At grade 4, addition is where procedure and recall have to run at the same time, and sixteen problems done in fragments hide which of the two is the problem. If more than a third of the sixteen problems come back wrong, stop and step back a grade in addition rather than assigning Set B.

One mistake to watch for

The carried digit lands in the wrong column, or is dropped on the last step. Watch problem 9 of this vertical format — "9302 + 8799" — for this one.

The carry is being tracked in working memory instead of on paper.

Require the small carried digit to be written every time, and use graph paper so the digits cannot drift sideways.

The full guide to teaching additionHow to teach addition from counting on to signed rational numbers: the grade 1–8 progression, six teaching strategies, and the errors that stall students.

Other grade 4 addition formats

The same skill in the other formats available at this grade.

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Vertical Format sheets in other grade 4 topics

Print as many copies of this grade 4 addition vertical format as you need; Sets A, B and C and their keys are six separate PDFs, all free.

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