Writing ordinary numbers II 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about writing standard form numbers as ordinary numbers. The following facts have numbers written in standard form. Write each of these numbers as a decimal number. Question 1Change answer a) A truck driver does a return trip from Wellington to Auckland every week. In a year he travels approximately 6.7 × 104 km a) A truck driver does a return trip from Wellington to Auckland every week. In a year he travels approximately 6.7 × 104 km = km. Question 1Change answer b) The distance from Earth to the Moon is approximately 3.84 × 105 km. b) The distance from Earth to the Moon is approximately 3.84 × 105 km. = km. Question 1Change answer c) The number of seconds in a century is approximately 3.155 × 109 seconds. c) The number of seconds in a century is approximately 3.155 × 109 seconds. = seconds. Question 1Change answer d) The world 100 metre running record was broken by 2 × 10-2 seconds. d) The world 100 metre running record was broken by 2 × 10-2 seconds. = seconds. Question 1Change answer e) The thickness of a page in a mathematics textbook is roughly 7.6 × 10-5 m. e) The thickness of a page in a mathematics textbook is roughly 7.6 × 10-5 m. = m. Task administration: This task is completed with pencil and paper or online (WITH automarking). Level: 5 Curriculum info: Maths, Number and Algebra, Number Knowledge Keywords: standard form, place value Description of task: Students convert numbers from standard form to ordinary form. Answers/responses: Y10 (09/1999) a) 67 000 NOTE: Accept 67 000.0 easy b) 384 000 NOTE: Accept 384 000.0 easy c) 3 155 000 000 NOTE: Accept 3 155 000 000.0 easy d) 0.02 moderate e) 0.000076 difficult Diagnostic and formative information: Common error Likely reason. a) b) c) 670 000 38 400 000 3 155 000 000 000 Inserts the number of zeros in the exponent of 10 and drops the decimal point. a) b) c) 6.70000 3.8400000 3.155000000000 Inserts the number of zeros in the exponent of 10. d) e) 002 or 0.002 0000076 or 0.0000076 Inserts the number of zeros in the exponent of 10 before the significant figure. Working with standard form Writing ordinary numbers Working with standard form II Writing standard form Faster than light Ordering standard form Microscopic numbers
