Rational and Irrational Numbers
Rational and irrational numbers are fundamental concepts in mathematics, representing two distinct categories of real numbers. Rational numbers can be expressed as a ratio of two integers, where the denominator is not zero. These include fractions and terminating or repeating decimals. In contrast, irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal representations. Famous examples of irrational numbers include π (pi) and √2 (the square root of 2). Understanding the properties and distinctions between these two types of numbers is essential in various mathematical applications, from algebra to calculus.
Questions
- As a prize, a contest winner gets to draw out one bill at a time from a box containing 10 five-dollar bills, 10 ten- dollar bills, and 10 twenty-dollar bills. What is the largest sum of money that can be won under these conditions?
- Is -3/5 a rational number?
- Savannah's bakery sold 284 loaves of bread in September. In October the bakery sold 89 loaves. About how many more loaves of bread did Savannah's bakery sell in September than in October?
- Joe's bathroom floor is 5ft wide and 8ft long. he will cover the floor with 3in square tiles. how many tiles does joe need?
- The ratio of Maya's money to Sophia is 3 : 7. Sophia has $64 more than Maya. If Sophia gives 14 of her money to Maya, what will be the new ratio?
- What are three irrational numbers between 2 and 3?
- From the given information in the question, what is the value of #(a+b+c)^2# ?
- What is the set of numbers to which #-54/19# belong?
- Fill each box of the magic square, with a number such that the number adds up to 18 horizontally, vertically and diagonally? #[(, ,), (, ,), (, ,)]#
- How do you simplify #8.13-2.716#?
- Why do irrational numbers exist?
- How are rational and irrational numbers related?
- Moni and lipi have Tk.936 altogether. Moni has 208 taka less then Lipi.How much do they have each? Thanks 😊
- How do you write the reciprocal number of 4/9?
- How do you simplify #14.75-6.926#?
- What is it simplified? Thanks for the answer.
- How do you write the reciprocal number of 7/2?
- How much interest is earned after 9 months if the original principal is $2500 and the rate is 3%?
- How do you interpret algebraic expressions in terms of their context?
- Simon opened a certificate of deposit with the money from his bonus check. The bank offered 4.5% interest for 3 years of deposit. Simon calculated that he would earn $87.75 interest in that time. How much did Simon deposit to open the account?