Benchmark 9A: The Mathematical World - Numbers

• Comparison of numbers of very different size can be made approximately by expressing them as nearest powers of 10. (1 of 4)
• Standard 14-1 page 184, Grades 9-12
Compare and contrast the real number system and its various subsystems with regard to their structural characteristics
• Numbers can be written with bases different from ten (which people probably use because of their 10 fingers). The simplest base, 2, uses just two symbols (1 and 0, or on and off). (2 of 4)
• Standard 14-1 page 184, Grades 9-12
Compare and contrast the real number system and its various subsystems with regard to their structural characteristics

Standard 14-3 page 184, Grades 9-12
Appreciate that seemingly different mathematical systems may be essentially the same

• When calculations are made with measurements, a small error in the measurements may lead to a large error in the results.
• Standard 13-7, page 116, Grades 5-8
Develop formulas and procedures for determining measures to solve problems
• The effects of uncertainties in measurements on a computed result can be estimated. (4 of 4)
• Standard 13-7, page 116, Grades 5-8
Develop formulas and procedures for determining measures to solve problems