Chapter 1

Basic Operations Within 100 000

Add, subtract, multiply and divide big numbers by lining up the place values. Take it one column at a time!

Basic operations

The four basic operations are addition (+), subtraction (−), multiplication (×) and division (÷). With numbers up to 100 000 we line up the digits by place value and work carefully, one column at a time.

Key idea / 要点

Add and subtract from the ones column, carrying or borrowing when needed. For × and ÷, keep the place values lined up neatly so no digit is misplaced.

A worked sum

Line up the numbers by place value and add each column, starting from the ones.

Worked example / 例题

Work out 34 210 + 5 780. Add ones: 0 + 0 = 0; tens: 1 + 8 = 9; hundreds: 2 + 7 = 9; thousands: 4 + 5 = 9; ten thousands: 3. Answer = 39 990.

Remember / 记住

  • Keep digits lined up by place value.
  • Carry when a column is 10 or more.
  • Borrow when the top digit is too small to subtract.

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