Why 1 hundred 4 tens and 14 tens name the same amount.

Because 1 hundred contains 10 tens. So if you are saying 1 hundred and 4 tens it is the same as you would say 10 tens and 4 tens. And if you add them together 10 tens plus 4 tens it will be 14 tens together.

First you need to translate these words mathematically as follows:

1 hundred = 100,

1 ten = 10,

2 tens = 2*10 = 20,

3 tens = 3 * 10 = 30,

4 tens = 4 * 10 = 40,

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10 tens = 10 * 10 = 100

We can express 1 hundred 4 tens and 14 tens as follows:

1 hundred 4 tens = 1 hundred + 4 tens = 100 + 40 = 140 - - - (1)

14 tens = 14 * 10 = 140 - - - (2)

As (1) = (2), therefore, we can say that 1 hundred 4 tens and 14 tens yield the same amount (which is 140).