Question

How can you tell that 7.630 and 7.63 are equivalent decimals?

Answer 1

because an equivalent decimal names the same amount as another decimal.  the 0 has no value

Answer 2

Answer:

Two numbers are said to be equivalent or equal if after altering the number in any way possible the two numbers are same.

Here in Number ,1.---7.630 and 2.-- 7.63 ,in 7.630, 0 have been removed to obtain 7.63 which does not affect the numerical value of both the numbers.Also,

  $1.\rightarrow7.630=\frac{7630}{1000}\\\\=\frac{763}{100}\\\\=7.63\\\\=\text{Number 2}$

So, With Conformity we can say that these two numbers are equivalent.