What's the square root of 45 rounded to the nearest tenth ?

Given:

45

Determine the square root of the number, rounded to the nearest tenth.

Solution:

In order to determine the square root of the number, we simply need to enclose it with a square root sign or raise the number by ½.

= 45

= (45)^½

= 6.708

In rounding numbers, it must be taken to note that if the number is greater than or equal to 5 then the succeeding number will be added by 1, hence if the number is less than 5, then the succeeding number will remain the same. Since we are asked to round to the nearest tenths , we must determine first where tenths is. The number places are as follow in an ascending order: Ones/units, tens, hundreds, thousands, ten thousands, hundred thousands, millions, hundred millions, and so on. For decimals, the number places starts with; tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on.

Tenths is located 1 unit after the decimal point, whereas in our given, the value of 10 is 7, and before 7 we have 0 which is less than 5, therefore we retain the number 7 as it is.

= 6.7

Final answer:

=6.7