Final answer:
To visualize 5.28 on a number line, identify the whole number 5 and then count 28 hundredths past it. When solving problems graphically, assume three-digit accuracy. For linear equations based on data, round coefficients to four decimal places.
Step-by-step explanation:
To visualize the number 5.28 on a number line, you should first find the integer part, which is 5, and then locate the space between 5 and 6. Since 5.28 has two decimal places, you would divide this space into 100 equal parts, as each part represents one hundredth (0.01). The number 5.28 is 28 hundredths more than 5, so you would count 28 parts past the number 5. This would place 5.28 just a little more than a quarter of the way from 5 to 6 on the number line. When using graphical methods to solve problems, you can assume data taken from graphs is accurate to three digits. To write a linear equation based on graphical data, you would enter your data into a calculator or computer and round the coefficients to four decimal places for accuracy. For instance, if a calculator answer is 2,085.5688, and we need to round it to five significant figures, we round up to 2,085.6 because the first digit to be dropped is greater than 5.