Upper and lower bounds in multiplicative calculations

12 questions

1. The numbers either end of an ___ interval are the lower and upper bounds.
2. The length of a leaf is measured as 6.7 cm correct to 1 decimal place. What are the lower and upper bounds?
3. The length of a leaf is measured as 6.7 cm correct to 1 decimal place. The lower and upper bounds are 6.65 and 6.75. What is the error interval?
4. The mass of a kitten is 1.3 kg correct to 2 significant figures. What is the error interval?
5. Here are the error intervals for x and y: 12.5\leq{x}<13.5 and 3.5\leq{y}<4.5. What are the lower and upper bounds of x + y?
6. Here are the error intervals for x and y: 12.5\leq{x}<13.5 and 3.5\leq{y}<4.5. What are the lower and upper bounds of x - y?
7. The lower bound for a rounded number is the ___ value the number could have taken prior to rounding.
8. x = 4.5 correct to 1 decimal place. What is the error interval?
9. y = 26 correct to 2 significant figures. What is the error interval?
10. The error interval of x is 4.45\leq{x}<4.55. The error interval of y is 25.5\leq{y}<26.5. What are the lower and upper bounds of xy? (Give you answers to 3 decimal places)
11. The error interval of x is 4.45\leq{x}<4.55. The error interval of y is 25.5\leq{y}<26.5. What are the lower and upper bounds of x\over{y}? (Give you answers to 3 s.f.)
12. Which calculation will give the lower bound of x={{a+b}\over{c}}?

License: OGL