Starter quiz
- A number written in __________ form represents a repeated multiplication.
- exponential ✓
- factorial
- product
- reciprocal
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- Which of the following are equivalent to ?
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- Which of the following are equivalent to ?
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- ✓
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- ✓
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- Match each number written in exponent form with its value.
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- Which of the following calculations are equivalent to 400 × 700?
- 4 × 100 × 7 × 100 ✓
- 4 × 100 × 7 × 1000
- 2.8 × 100 000 ✓
- 28 000
- 28 × 10 000 ✓
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- Without using a calculator, work out 3.4 × 2.5.
- '8.5' ✓
Exit quiz
- Which of the following are written in exponential form?
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- ✓
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- Which of the following are written in standard form?
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- Write in standard form.
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- Match each ordinary number to the equivalent number written in standard form.
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- as an ordinary number is ______.
- '18000' ✓
- What is covered up on the calculator display?
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- ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- It is difficult to read very large numbers, due to the number of digits involved.
- It can be more efficient to write these very large numbers in standard form.
- There is a convention for standard form.
Common misconception
Pupils can incorrectly write a number in standard form or use a number in incorrect standard form whereby the number A does not satisfy 1 ≤ A < 10 or pupils use division of positive powers of 10.
Standard form represents a multiplicative relationship, so there should always be a multiplication. Embedding the understanding that negative exponents refer to 1/10^n is important. Using the place value chart with fractional and exponent form helps.
Keywords
Standard form - Standard form is when a number is written in the form A × 10^n, (where 1 ≤ A < 10 and n is an integer).
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