Addition practice

Missing-digit addition

Restore hidden digits in vertical addition by using column totals, regrouping evidence, and the known sum.

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Study the visible digits and sum. Work one column at a time, include any carry, and fill each box with the digit that makes the equation true.

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Learning objective

What this activity builds

Reason backward through place-value columns to find digits that make an addition equation true.

Worked example

Complete 4□ + □7 = 75.

48 + 27 = 75

The ones column needs 8 + 7 = 15, carrying 1. The tens column is then 4 + 2 + 1 = 7. Both hidden digits are fixed by the visible columns.

Teaching notes

Make the practice count

  • Verify the restored equation from beginning to end.
  • Use each visible column and its incoming carry as a clue; check that every box fits the same completed equation.

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Math SheetNameScore/ 20TeacherDateMissing Digit AdditionFind the two hidden digits. Every puzzle has one solution.1.596+92.38+753.729+624.737+495.93+1446.61+1247.92+1298.184+49.25+4910.45+6411.92+9512.94+15413.796+1314.358+715.295+416.589+1117.391+118.873+2119.998+1220.41+112math-sheet.comPage 1 / 1

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Find an unknown first or second addend in horizontal equations with selectable blank symbols.

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