Division of a natural number by a decimal fraction

In this publication, we will consider how an integer natural number can be divided into a decimal fraction (column). We will also analyze examples to consolidate the presented theoretical material.

Content

Rule for dividing a number by a decimal fraction

To divide an integer divisible by a decimal divisor:

  • we turn the fraction into an integer by multiplying by 10, 100, 1000, 10000, etc. How many digits after the decimal point – so many zeros in the multiplier.
  • multiply the dividend by the same number.
  • then perform division by a column of two numbers.
  • the result can be either an integer or a new decimal fraction (finite or infinite).

Note: the same rule can be used to .

Examples

Example 1: we find the quotient of dividing 3 by 0,25.

Decision:

To turn 0,25 into an integer, it must be multiplied by 100, i.e.:

0,25 ⋅ 100 = 25

The same action for the dividend:

3 ⋅ 100 = 300

Now let’s just divide one number by another:

Division of a natural number by a decimal fraction

Example 2: divide the number 6 by 2,9.

Decision:

The number 2,9 is multiplied by 10 to make it a whole number.

2,9 ⋅ 10 = 29

The same action for the number 6:

6 ⋅ 10 = 60

It remains only to perform the division:

Division of a natural number by a decimal fraction

In this case, in particular, we stop at 4 digits after the decimal point.

Leave a Reply