Writing large numbers in standard form
I can write very large numbers in standard form and appreciate the real-life contexts where this format is usefully used.
- Year 9
Writing large numbers in standard form
I can write very large numbers in standard form and appreciate the real-life contexts where this format is usefully used.
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.
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).
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.
Equipment
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A number written in __________ form represents a repeated multiplication.
Q2.Which of the following are equivalent to $$8000\times8000$$?
Q3.Which of the following are equivalent to $$3.5\times0.03$$?
Q4.Match each number written in exponent form with its value.
$$10^4$$ - $$10 000$$
$$10^5$$ - $$100 000$$
$${1} \over {10^2}$$ - $$0.01$$
$$10^0$$ - $$1$$
$$10^1$$ - $$10$$
$${1} \over {10^4}$$ - $$0.0001$$
Q5.Which of the following calculations are equivalent to 400 × 700?
Q6.Without using a calculator, work out 3.4 × 2.5.
Assessment exit quiz
6 Questions
Q1.Which of the following are written in exponential form?
Q2.Which of the following are written in standard form?
Q3.Write $$34 000 000$$ in standard form.
Q4.Match each ordinary number to the equivalent number written in standard form.
$$303 000$$ - $${3.03}\times10^{5}$$
$$33 000$$ - $${3.3}\times10^{4}$$
$$30 300$$ - $${3.03}\times10^{4}$$
$$303 $$ - $${3.03}\times10^{2}$$
$$3 300 000$$ - $${3.3}\times10^{6}$$
$$3300$$ - $${3.3}\times10^{3}$$
Q5.$${1.8}\times10^{4}$$ as an ordinary number is .
Q6.What is covered up on the calculator display?
