In the number line for Ben's claim, as 7 9/100 must be less than 7 2/10 because 9 hundredths is less than 2 tenths agreed.
What is the number line?
The number line is the way of representation of number and digits in a arranged form to understand the data batter.
The values after the decimal points, considered in tenth and hundredth.
- Tenth, written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
- Hundredth, written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.
Now Ban says that the number 7 9/100 must be less than 7 2/10 because 9 hundredths is less than 2 tenths. This can be found out by plotting the number line between the number 7 to 8.
The number line attached below is the between the numbers 7 to 8. The number are then in increasing order after the first value 7 as, 7 1/10, 7 1/2, 7 1/3..... so on.
As the number 7 9/100 comes after the number 7 2/10 in the number line.Thus, the Ben's claim is agreed.
Learn more about the number line here;
https://brainly.com/question/24644930
