L054 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.
Write 0.00000056 in standard form, then multiply it by 3×10⁵.
5.6×10⁻⁷; product=1.68×10⁻¹.
Explain why 12×10⁴ is not in standard form and rewrite it.
Coefficient must be at least 1 and less than 10; 12×10⁴=1.2×10⁵.
Lesson L054: Standard form
Objective: Convert to and from standard form and perform calculations.
60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.
I selected an efficient numerical method, showed the key steps clearly and checked the sign, size or accuracy of my answer.
I will make the place-value, sign or operation decision explicit and use estimation or an inverse calculation to check a fresh question.
Stretch: Write 0.00000056 in standard form, then multiply it by 3×10⁵.
Deep challenge: Explain why 12×10⁴ is not in standard form and rewrite it.