Mathematics·Numbers and operations · NSSCO 1.4
Indices & standard form
Narrated lesson · press play
Big numbers and tiny numbers stop being scary once you know two ideas. An index is just a short way of writing repeated multiplication, and standard form is the tidy shape A × 10ⁿ that professionals use to write huge and minute quantities. We meet index notation, the three laws of indices (multiply → add, divide → subtract, power of a power → multiply), the special zero, negative and fractional indices, and then how to write numbers in standard form, convert both ways, and multiply and divide in standard form.
What you'll learn in this lesson
By the end you should be able to (NSSCO Mathematics 1.4):
- Use index notation and know the meaning of base and index
- Apply the laws of indices: multiply → add, divide → subtract, power of a power → multiply
- Interpret and use zero, negative and fractional indices
- Express numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer
- Convert numbers to and from standard form
- Multiply and divide numbers written in standard form
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