Question

Which is the bigger and which is the smaller number ? \[721\ \square\ 589\ \]

Answer 1

Hint: In this question, we need to find which number is bigger and which one is smaller among \[721\] and \[589\] . The symbol used for greater than is \[>\] and less than is \[<\] . First, we can compare the numbers using a place value chart. Then we can use the concept that the bigger number is starting from the highest number followed by least numbers whereas the smaller number is starting from least number followed by highest numbers. Using this we get our required answer.

Complete step by step answer:
Given \[721\] and \[589\]. Here we need to find which number is bigger and which one is smaller. Now we can compare both the numbers \[721\] and \[589\]. Since both the numbers contain three digits. We can compare the numbers using a place value chart.
First, we can rewrite \[721\] as,
\[721 = 7 \times 100 + 2 \times 10 + 1\]
And \[589\] as
\[589 = 5 \times 100 + 8 \times 10 + 9\]

First let us check the number in one place. The one's place of \[721\] is \[1\] and also the one's place of \[589\] is \[9\]. On seeing this, the number \[589\] is the bigger one. Now, We can compare the next ten places. The tens place of \[721\] is \[2\] and the tens place of \[589\] is \[8\] . On seeing this, the number \[589\] is the bigger one. Finally we can compare the number in hundreds of places.The hundredth place of \[721\] is \[7\] and the hundredth place of \[589\] is \[5\].

Now on seeing this, the number \[721\] is the bigger one. Now here we can use the concept that the greatest number is starting from the highest number followed by least numbers and smallest number is starting from least number followed by highest numbers. Thus we can conclude that \[721\] is the bigger one and \[589\] is the smaller number.Hence \[721 > 589\]

Therefore, \[721\] is the bigger one and \[589\] is the smaller number.

Note: In order to solve these types of questions, we should have a strong grip over place value charts. Mathematically, while comparing two or more numbers symbols play a major role. The two symbols which are used while comparing these numbers are equality and inequality symbols. Symbols such as Less than symbol , greater than symbol, less than or equal to, greater than or equal to symbol belong to inequality symbols. When numbers or values are equal, we use an equality symbol.