Subtraction with Regrouping: 100 − 46

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 100 − 46?

Answer

100 − 46 =
54

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

100 − 46 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)0 (was 0, now 10)
−46
54

Column by column: 100 − 46

  • Ones: 0 is less than 6 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 10 − 6 = 4 — write 4.
  • Tens: after borrowing, 9; 9 − 4 = 5 — write 5.
  • Hundreds: after borrowing, 0 — a leading zero is not written.

100 − 46 = 54

Second check: 100 − 54 = 46

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FAQ

What is 100 − 46?

100 − 46 = 54

How do you check that 100 − 46 = 54?

Add the difference and the subtrahend: 54 + 46 = 100. Getting the minuend back means the difference is right.

How many times do you borrow in 100 − 46?

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 100 − 46?

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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