Four Digit Addition Challenge
20 addition problems on two pages, each with two four-digit numbers stacked in columns. Every problem regroups at least once, and most of the sums run to five digits. It's 4th grade work with the standard algorithm, and a good refresher in 5th.
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Keeping four columns straight
The steps are the same as in two-digit addition. What goes wrong is bookkeeping: a carried 1 forgotten halfway through, or a column that drifts because the digits weren't written in line. Have students write each carried 1 at the top of the next column as soon as it happens.
Most answers here have five digits, like 5219 + 5846 = 11065. When the thousands add up to 10 or more, the 1 goes in a new place at the far left. A student who stops at four digits writes 1065 and thinks the problem is done.
Estimating first catches that. 5219 + 5846 is about 5000 + 6000, so the answer should be near 11,000.
Frequently Asked Questions
What grade learns four-digit addition?
4th grade, when students add multi-digit numbers with the standard algorithm. It keeps coming up in 5th grade and beyond, so it's worth getting reliable.
How many times do you regroup in a problem like this?
It depends on the digits. Every problem here regroups at least once and most regroup two or more times, which is why it pays to write each carried digit down instead of holding it in your head.
Is there an easier sheet with the same steps?
Triple Digit Addition (Vertical) uses the same method with one less column. It's a good warm-up for students who lose track on four-digit problems.