SOLUTION: Can you explain how 0.327 is less than 0.37?

Question 119574This question is from textbook Math Trailblazers
: Can you explain how 0.327 is less than 0.37? This question is from textbook Math Trailblazers

Answer by tangitehewagen(7) (Show Source): You can put this solution on YOUR website!
Consider the real number line. We will look at the part of the number line between 3 and 5,

A real number to the left of another real number on the number line is said to be less than the other.
We can see that 3.27 lies to the left of 3.7 on the number which implies that 3.27 is less than 3.7.
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Let's try another approach.
3.27 = 3 X 1 + 2 X + 7 X
and
3.7 = 3 X 1 + 7 X
It is easy to see that the 3 X 1 is the same in both expressions so we compare 2 X + 7 X with 7 X .
Notice that 7 X is less than 1 X in other words, 7 hundredths is less than 1 tenth. Thus 2 tenths plus 7 hundredths is less than 3 tenths which is obviously less than 7 tenths.
Therefore 2 X + 7 X is less than 7 X
hence 3.27 is less than 3.7
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