Mathematics Class 8
Power Play
Write big and small numbers short. See what powers do when multiplied, divided or stacked.
14 lessons · ~80 min total
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Lessons in this topic
- 0 Start here A roadmap: a short writing for repeated multiplication, and what happens when powers meet. · 4 min You are here
- 1 A short way to write a long multiplication A power has a base and an exponent. The exponent counts the copies. · 5 min
- 2 Two powers of one number, multiplied Multiplying two powers of one base pools the factors: the exponents add. · 5 min
- 3 Two powers of one number, divided Dividing powers of one base cancels factors. The exponents subtract. · 5 min
- 4 One power stacked on another A power of a power multiplies the exponents. It does not add them. · 5 min
- 5 Walking the ladder down to zero Each step down divides by the base, so a base to the power 0 is 1. · 6 min
- 6 Every column is a power of ten Each place-value column is a power of ten. A number is its columns added. · 6 min
- 7 Writing a number too long to say A huge number is written short as a part from 1 to 10 times a power of ten. · 6 min
- 8 Which of two powers is larger When base and count both differ, work both powers out and compare. · 6 min
- 9 Counts below zero Each step down divides by the base. So 5⁻² is 1/25. · 7 min
- 10 Writing a very small number Move the point right until x is from 1 to below 10. · 7 min
- 11 Checkpoint: small powers and small numbers Check negative counts and small numbers in standard form. · 5 min
- 12 The big picture Ten ideas, tied back together. · 5 min
- 13 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 8 min
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