Most Common Number System (Nandan Nayak)

Introduction to most common number system:

In this we have most common number system. Most common system in math includes rational system, decimal numbers, fractional number, whole number, and so on. In this topic we will see some example problems for decimal number, fractional numbers, whole numbers, and so on. And also we have practice problems. Let us start to study about most common number system.

Example problems for most common number system:

Example problem 1: There is a population of 30,000 bacteria in a colony. If the number of bacteria doubles every 25 minutes, what will the population be 50 minutes from now?

Solution:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

50 ? 25 = 2

The population will double 2 times.

Now figure out what the population will be after it doubles 2 times. Multiply the population by 2 a total of 2 times.

30,000 ? 2 ? 2 = 120,000

That calculation could also be written with exponents:

30,000 ? 22 = 120,000

After 50 minutes, the population will be 120,000 bacteria.

Answer: After 50 minutes, the population will be 120,000 bacteria.

Example problem 2: Preston bikes 0.4 kilometers each school day. How far in total will Preston bike over 14 school days?

Solution:

Multiply the kilometers biked each school day by the number of school days.

0.4 ?14 +40 = 56

Count the number of decimal places in the factors. There is 1 decimal place in 0.4.

56. => 5.6

Preston will bike 5.6 kilometers.

Answer: Preston will bike 5.6 kilometers.

Practice problems for most common number system:

Practice problem 1: Crystal is creating potpourri bowls using 18 bags of shredded bark and 15 bags of flower petals. If she wants to make all the potpourri bowls identical, containing the same number of bags of shredded bark and the same number of bags of flower petals, what is the greatest number of potpourri bowls Crystal can create?

Practice problem 2: There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 19 minutes, what will the population be 38 minutes from now?

Practice problem 3: A restaurant chef made '1 2/3 ' pints of tomato soup. Each bowl of soup holds '5/6' of a pint. How many bowls of soup will the chef be able to fill?

Solutions for most common number system:

Solution 1: The greatest number of potpourri bowls Crystal can create is 3.

Solution 2: After 38 minutes, the population will be 40,000 bacteria.

Solution 3: The chef will be able to fill 2 bowls.

Processing ...