Subtraction with Regrouping: 105 − 36

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 105 − 36?

Answer

105 − 36 =
69

With regrouping across a zero: 2 borrows — there are no tens to borrow from, so 1 hundred becomes 10 tens, and 1 ten goes to the ones

105 − 36 in a column. Above the columns: the values after borrowing — a crossed-out digit is replaced by the number above it; +10 marks a column that received a borrowed ten.
09+10
1(was 1, now 0)0(was 0, now 9)5 (was 5, now 15)
−36
69

Column by column: 105 − 36

  • Ones: 5 is less than 6 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 15 − 6 = 9 — write 9.
  • Tens: after borrowing, 9; 9 − 3 = 6 — write 6.
  • Hundreds: after borrowing, 0 — a leading zero is not written.

105 − 36 = 69

Second check: 105 − 69 = 36

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Column subtractions of 36

ExampleDifference
77 − 3641
81 − 3645
83 − 3647
88 − 3652
90 − 3654
94 − 3658
99 − 3663
100 − 3664
101 − 3665
103 − 3667
105 − 3669
107 − 3671
110 − 3674
112 − 3676
114 − 3678
119 − 3683
121 − 3685
125 − 3689
128 − 3692
130 − 3694

FAQ

What is 105 − 36?

105 − 36 = 69

How do you check that 105 − 36 = 69?

Add the difference and the subtrahend: 69 + 36 = 105. Getting the minuend back means the difference is right.

How many times do you borrow in 105 − 36?

2 borrows: each time the top digit was smaller than the one below it, 1 was borrowed from the column on the left.

Why does 0 become 9 when borrowing in 105 − 36?

The zero has nothing to lend, so it first borrows 1 from its left neighbour and becomes 10; then it lends 1 to the column on its right and keeps 9.

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