Question

Explain why it is not reasonable to say that 6.32 is less than 6.235 because 6.32 has

fewer digits after the decimal point than 6.235.( Use the process of comparing
numbers to help you with your explanation

Answer 1

The number of digits attached to the number is irrelevant as long as we considering the first non-identical integer. For example:

`6.32215 > 6.32214 \\ since \: 5 > 4`

Additionally some numbers are written with two decimals only, implying that there an infinite amount of unnecessary zeros attached at the end. For example:

`6.32 = 6.320000000000000000...`

Now a more clear approach would be to compare these two numbers after attaching these zeros.

`6.3200000000... \\ 6.2350000000...`

Comparing the first three digits,

`320 > 235 \\ 6.32 > 6.235`