Adding numbers in standard form
I can appreciate the mathematical structures that underpin addition of numbers represented in standard form.
- Year 10
Adding numbers in standard form
I can appreciate the mathematical structures that underpin addition of numbers represented in standard form.
Lesson details
Key learning points
- When adding numbers represented in standard form, place value is an important consideration.
- If the power of 10 is the same for both numbers, it is easy to add.
- Standard form calculations can be done using a calculator.
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
When adding numbers in standard form, pupils can also add the exponents of 10.
The use of the place value chart shows how the magnitude does not change to the sum of the powers of 10. The place value chart can support pupils to make the correct addition or subtraction of large or small numbers.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match each number in standard form to its equivalent as an ordinary number.
$$4.3\times10^{-4}$$ - $$0.000 \text{ }43$$
$$4.4\times10^{4}$$ - $$44 \text{ }000$$
$$4.3\times10^{4}$$ - $$43 \text{ }000$$
$$4.3\times10^{8}$$ - $$430 \text{ }000 \text{ }000$$
$$4\times10^{4}$$ - $$40 \text{ }000$$
Q2.Without a calculator, work out 39.38 + 9.3. The answer as a decimal is .
Q3.Starting with the smallest, put these numbers into ascending order of size.
Q4.Match each number to its correct standard form equivalent.
$$14.4\times10^{-5}$$ - $$1.44\times10^{-4}$$
$$0.54\times10^{-5}$$ - $$5.4\times10^{-6}$$
$$340\times10^{-5}$$ - $$3.4\times10^{-3}$$
$$34\times10^{-5}$$ - $$3.4\times10^{-4}$$
Q5.The Pacific Ocean has an approximate surface area of 166 000 000 km² and the Indian Ocean is approximately 73 000 000 km². What is the total surface area, in standard form, of these two oceans?
Q6.Work out 0.04 m + 12 cm + 45 mm + 0.0008 km. The answer is centimetres.
Assessment exit quiz
6 Questions
Q1.Work out $$1.8\times10^5 + 5.6\times10^5 $$, giving your answer in standard form.
Q2.Work out $$3\times10^{-8} + 4.8\times10^{-8} $$, giving your answer in standard form.
Q3.Work out $$1.4\times10^5 + 4\text{ }700\text{ }000$$, giving your answer in standard form.
Q4.Work out $$4.9\times10^4 + 280\text{ } 000$$, giving your answer in standard form.
Q5.Find the sum of $$9.38\times10^{10}$$ and $$1\text{ }300\text{ }000\text{ }000$$. Give your answer in standard form.
Q6.Work out $$2$$ mm + $$0.5$$ cm + $$2\times10^{-3}$$ m. Give your answer in metres.
