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Primary 4 Decimals study guide: the whole chapter, step by step

About this subtopic

This mixed practice stop brings together 5 topics from Primary 4 Decimals: Decimal place value, Reading a number line, Compare and order decimals, Rounding decimals, Fraction and decimal. Nothing on the question says which topic it comes from, so choosing the method is part of the skill.

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Intermediate

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Question 1 of 4 · Intermediate · free to tryA decimal has 4 ones, 0 tenths, 7 hundredths and 5 thousandths. (a) Write…A decimal has 4 ones, 0 tenths…

A decimal has 4 ones, 0 tenths, 7 hundredths and 5 thousandths. (a) Write the decimal. (b) Which is the greatest of that decimal, 4.507 and 4.057?

onestenthshundredthsthousandths4.5074.057

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Working

  1. 4 ones = 4
  2. 0 tenths = 0
  3. 7 hundredths = 0.07
  4. 5 thousandths = 0.005
  5. the decimal = 4 + 0 + 0.07 + 0.005 = 4.075
  6. the decimal built from the places = 4.075
  7. all three decimals have 4 ones, so the tenths decide
  8. the tenths digits are 0, 5 and 0
  9. 5 tenths is the greatest, so the greatest decimal = 4.507

Answer: (a) 4.075 (b) 4.507

For parents

How should I use P4 decimals mixed practice with my child?

Your child brings together the different ways of reading, comparing and representing a decimal.

What your child learns here

Your child brings together the different ways of reading, comparing and representing a decimal. This mixed stop draws on the Decimals chapter's P4 learning outcomes, including place value, ordering, fraction conversion and rounding. Choosing which idea applies is part of the task, so it helps to discuss the requested answer before beginning the working.

  • Interpret decimals up to three places as amounts made from ones, tenths, hundredths and thousandths, including numbers with zero placeholders.
  • Use a labelled number line to establish the size of equal intervals and connect a point's position with the decimal it represents.
  • Compare matching place values and put decimals in the requested order, recognising that trailing zeros can give equivalent forms.
  • Move between decimal and fraction representations within the P4 limits, explaining why the amount stays the same during conversion.
  • Round to the named accuracy and distinguish an approximate answer from an exact equivalent form, which preserves the original value.
Does the answer make sense?

If a mixed question asks your child to compare 0.48 with one half, naming one half as 0.5 confirms that 0.48 is smaller. Rounding 0.48 to one decimal place also gives 0.5, but that rounded result must not be used to claim the two original amounts are equal.

How to practise these questions

All four questions in this mixed decimal set are Intermediate. One links building a decimal from named place values with comparing it against other decimals. Another orders a collection containing both fractions and decimals. A third combines reading a marked number-line position with rounding that value. The fourth converts a fraction to a decimal before finding the value of one digit. Before your child calculates, ask which representation is given and which form the answer needs. For a question with two parts, check the first result before using it in the next decision. If the combined task is difficult, return to its matching place-value, conversion or rounding page, then revisit the mixed question and ask your child to explain how the two skills connect.

Questions parents ask

When is my child ready to combine the decimals subtopics? Try this set after your child can explain the method on the individual pages, even if some calculations still need time. Listen for whether they recognise a comparison, conversion or rounding instruction. If one skill is still uncertain, return to that particular page before attempting more combined questions.

What can I ask before my child starts a mixed decimal question? Ask what kind of answer is needed: a decimal, a fraction, an ordered list or a rounded value. Then ask which given information helps produce it. These questions focus attention on the task without supplying the method or the answer on your child's behalf.

How is this different from four operations of decimals? This chapter concentrates on what decimal numbers mean and how to represent, compare and round them. Four Operations of Decimals develops calculations and related word problems. A secure understanding of place value supports both chapters, but their mixed stops bring together different groups of skills.