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Grade 5, Operations

Add and subtract large numbers, mixed

A review sheet that mixes adding and subtracting 5-digit and 6-digit numbers in columns.

Three levels

One skill, rising difficulty

Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.

Level 1: 5-digit numbers
Look at the sign. Add or subtract.
Level 2: 6-digit numbers
Look at the sign. Add or subtract.
Level 3: With zeros
Look at the sign. Add or subtract.

Worked example

How the sheet explains it

The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.

Level 1: 5-digit numbers

  1. Look at the sign: − means subtract. Line up the ones.
  2. Ones: 7 − 5 = 2. Tens: 2 − 1 = 1. Hundreds: 5 − 3 = 2.
  3. Thousands: 3 < 6, so regroup 1 ten thousand: 13 − 6 = 7.
  4. Ten thousands: the 8 is now 7, and 7 − 4 = 3. So 83 527 − 46 315 = 37 212.

Level 2: 6-digit numbers

  1. Look at the sign: + means add. Ones: 7 + 5 = 12. Write 2 and regroup 1 ten.
  2. Tens: 6 + 1 + 1 = 8. Hundreds: 4 + 3 = 7. Thousands: 8 + 4 = 12. Write 2 and regroup 1 ten thousand.
  3. Ten thousands: 5 + 7 + 1 = 13. Write 3 and regroup 1 hundred thousand.
  4. Hundred thousands: 3 + 2 + 1 = 6. So 358 467 + 274 315 = 632 782.

Level 3: With zeros

  1. Look at the sign: − means subtract. Ones: 6 < 8, and the tens and hundreds are 0.
  2. So take 1 thousand: 1000 = 900 + 90 + 10. Ones: 10 + 6 = 16, and 16 − 8 = 8.
  3. Tens: 9 − 4 = 5. Hundreds: 9 − 2 = 7. Thousands: the 5 is now 4, and 4 − 3 = 1.
  4. Ten thousands: 2 − 1 = 1. Hundred thousands: 9 − 4 = 5. So 925 006 − 413 248 = 511 758.

Goes with

Reference sheets

One-page helpers a student keeps beside this sheet:

  • Adding and subtracting in columns

Every reference, facts and support sheet is listed in the worksheet catalogue.

In the BC curriculum

Content standards

The British Columbia content standard this skill is written for, by the codes used across this site:

  • bc.math.5.c.5

The wording of each standard is on the Province's mathematics curriculum page.

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Print the sheet and its answer key

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Back to all worksheets by grade, or read the Grade 5 guide to what this grade learns in British Columbia.