Question

Which of the following methods rounds a number up to the next integer?

Math.trunc();

Math.ceil();

Math.floor();

Math.round();

Which of the following operations would produce an output of NaN?

'dog' + 5;

5 + 2;

let points = 0;
points++;

let value = 0;
value += 10;

Answer 1

Rounding numbers in mathematics simplifies them, and the method 'Math.ceil()' rounds a number up to the next integer. Rounding strategies vary based on the operation, using the least number of decimal places or significant figures from the numbers involved.

Step-by-step explanation:

Rounding numbers is a fundamental technique in mathematics used to simplify numbers by reducing the number of digits while attempting to remain as close as possible to the original value. This process is useful in various mathematical operations such as addition, subtraction, multiplication, and division. To know which method of rounding to use, you must be familiar with the different types of rounding, specifically rounding up and rounding down.

Rounding up, also referred to as the ceiling function, is when you increase a number to the nearest whole number or prescribed decimal place that is greater than the original number. The function Math.ceil() in mathematics is an example of a method that rounds a number up to the next highest integer.

Rounding down, on the other hand, is when you decrease a number to the nearest whole number or prescribed decimal place that is less than or equal to the original number. The Math.floor() function performs rounding down in mathematics.

When engaging in addition and subtraction, the common practice is to round the result to the same number of decimal places as the original number with the smallest number of decimal places. For instance, when you add 13.2 and 12.252, you'd typically round the result to one decimal place, yielding 25.5.

For multiplication and division, you round the result to the same number of significant figures as the number with the fewest significant figures. An example is 1.35 multiplied by 2.1, which gives 2.835 and is rounded to three significant figures to get 2.8.

In summary, when a number such as 0.028675 is rounded up according to the rules, it becomes 0.0287. A number like 18.3384, which requires rounding down, becomes 18.3.