Question

How do you write two decimals that are equivalent to \[3.7\]?

Answer 1

Hint: Here, we will use the relation and the relevance of a zero in a decimal number. Using this, we will be able to find two decimal numbers which will be our required answer. Decimal numbers are the numbers that consist of a whole part and a fractional part that are separated by a point called a decimal point.

Complete step-by-step answer:
As we know, if we write a number for example 7 as 07 or 007 then, it doesn’t change the value of the number and it remains the same.
But, if we write 7 as 70 or 700 then, it makes a huge difference.
Thus, adding a zero on the left side of a number or removing it does not change the number.
Similarly, if this happens after the decimal point, i.e. for example if we write \[0.1\] as \[0.10\] or \[0.100\]
Then, the zeroes do not change the number whereas, if we write \[0.1\] as \[0.01\] then, it completely changes the number.
Thus, the two rules which should be kept in mind are:
We can add numerous amounts of zeros on the left-hand side of any number.
We can add numerous amounts of zeros on the right-hand side after the number present after the decimal point

Therefore, two decimals which are equal to \[3.7\] are: \[3.70\] and \[3.700\]
Therefore, this is the required answer.

Note:
In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one. If a zero is added before those digits then it has a significant value but no matter how many zeros we add after those digits, all those zeros will be irrelevant.