Author note — to cover

Multiplying and dividing in standard form without a calculator via the index laws, renormalising fronts like 40 x 10 to the 7; how-many-times-larger comparisons in astronomy and cell contexts. Addition lives on the sibling page; calculator methods live on calculator-standard-form. Both tiers. (N9)

• Fluency — direct questions on multiplying and dividing in standard form, limited to this lesson's stated scope (4 questions).
• Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
• Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).