1.3 Decimals

• Conversions in decimals
• Recurring decimals
• Rounding off decimals
• Significant figures
• Numbers in standard form
• Combined operations on decimals

• convert fractions to decimals in different situations
• identify recurring decimals in different situations
• convert recurring decimals into fractions in different situations
• round off a decimal number to a required number of decimal places in different situations
• express numbers to a required significant figures in real life situations
• express numbers in standard form in different situations
• carry out combined operations on decimals in different situations
• apply decimals to real-life situations
• use IT tools or other resources for learning more on decimals, and for enjoyment
• promote use of decimals in real-life situations

“How do we work out operations on decimals?”

“How do we use decimals in real life situations?”

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1. Converting fractions to decimals
   40 min · 1 practice tasks · quiz
   Dividing the top by the bottom, and the test that tells you in advance whether the decimal will stop or repeat.
2. Recurring decimals
   40 min · 1 practice tasks · quiz
   Spotting a repeating block, naming the period, and writing it correctly with dots.
3. Recurring decimals back to fractions
   40 min · 1 practice tasks · quiz
   The subtraction method: multiply so the repeating tails line up, subtract to cancel them, then divide.
4. Rounding to decimal places
   40 min · 1 practice tasks · quiz
   Cutting a decimal down to a stated number of places, the five-or-more rule, and when rounding carries across.
5. Significant figures
   40 min · 1 practice tasks · quiz
   Which digits actually carry information, how to count them, and how to round a number to a stated number of them.
6. Standard form
   40 min · 1 practice tasks · quiz
   Writing very large and very small numbers as a digit, a point and a power of ten, and reading them back.
7. Combined operations on decimals
   40 min · 1 practice tasks · quiz
   Applying the order of operations to decimals, lining up points, and checking that the answer is a sensible size.
8. Decimals in real life
   40 min · 1 practice tasks · quiz
   Where decimals actually appear, what the number of decimal places says about precision, and solving real problems.