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Grade 5 · unit review

Review: Explain Whole-Number and Decimal Algorithms

Multiply larger whole numbers, divide by two digits, and calculate decimal sums and products.

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Bring the unit skills together

Use these 4 new cases to check your reasoning. Choices are temporary and are not saved to an account, sent to staff or recorded as school grades. Download your current review choices before leaving or reloading.

Unit review questions
1. Calculate 266×36.
Need a hint?
  • Write the multiplier’s full tens value before generating its row.
  • A misplaced tens row can make a plausible-looking product ten times too small.
2. Calculate 864÷27.
Need a hint?
  • Track each partial quotient with its full value.
  • Check divisor times quotient rather than assuming a remainder-free layout is correct.
3. Calculate 7.29 + 0.8.
Need a hint?
  • Align decimal points, then add helpful trailing zeros.
  • Aligning rightmost digits alone can mix unequal place units.
4. Calculate 1.8 × 0.5.
Need a hint?
  • Check a quotient by multiplying it by the original divisor.
  • Scaling only one input of a division changes the quotient.

The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.

Use the skills in a new task

Find 324×23 and 672÷24, then explain how place value checks 1.2×0.4.

Work on paper or in your own document. Explain the choices you made.

  • Draw or label the numbers or shape features the task gives you.
  • Say why each calculation or shape choice follows the ideas in this unit.
  • Check that your answer fits the story or drawing in the task.
Compare with a model response

324×23=6480+972=7452. 672÷24=28 because 24×28=672. Twelve tenths times four tenths gives forty-eight hundredths, or 0.48.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.