You are looking for information on the topic “Fractional multiplications – unexpected results of positive numbers [duplicate]”. boviptaynguyen.com will gather information to answer your questions in this article. Please read this article to the end to find the information you want to see. You can also check out some other related articles here: 226 new posts updated in multiplication, the numbers to be multiplied are called, common core fractions 5th grade, when to teach fractions, common core fractions worksheets, strategies for teaching fractions pdf, teaching fractions scope and sequence, the result of multiplying numbers is called, fraction constructs.

## View information about the Fractional multiplications – unexpected results of positive numbers [duplicate]

### Information about this question

- Question: Fractional multiplications – unexpected results of positive numbers [duplicate]
- Time: Updated 92 hours ago
- Modified: Asked 65 minute ago
- View: 15046

### Fractional multiplications – unexpected results of positive numbers [duplicate]

It is possible that the unexpected results you are experiencing with fractional multiplications of positive numbers are due to limitations in the precision of floating-point arithmetic. Floating-point arithmetic can only represent a finite subset of the real numbers, and rounding errors can occur when performing operations on numbers that are not precisely representable.

For example, consider the multiplication of 0.1 and 0.2:

`0.1 * 0.2 = 0.02`

However, due to rounding errors, a computer may produce a slightly different result:

python`>>> 0.1 * 0.2 0.020000000000000004`

This result is very close to the correct answer, but it is not exactly equal to it due to rounding errors. These errors can accumulate over multiple arithmetic operations, leading to increasingly inaccurate results.

To avoid these issues, it is important to use appropriate numerical methods and to be aware of the limitations of floating-point arithmetic. For example, you can use decimal arithmetic or arbitrary-precision arithmetic libraries to perform calculations with higher precision and accuracy.

### Watch videos related to “Fractional multiplications – unexpected results of positive numbers [duplicate]”

Multiplying Fractions – Positive Only

### What happens when you multiply a positive number by a positive number greater than 1?

When you multiply a positive number by a positive number greater than 1, the result will be a larger positive number than the original. This is because when you multiply by a number greater than 1, you are effectively adding that number to itself multiple times.

For example, if you multiply 5 by 2, you get 10. This is because 2 is being added to itself 5 times (2+2+2+2+2). Similarly, if you multiply 10 by 3, you get 30 because 3 is being added to itself 10 times (3+3+3+3+3+3+3+3+3+3).

In general, if you multiply a positive number x by a positive number y greater than 1, the result will be a larger positive number than x, and the exact value will be xy.

### What happens when you multiply a positive fraction to a negative fraction?

When you multiply a positive fraction by a negative fraction, the result is a negative fraction.

To understand why, we can use the following example:

Let’s say we want to multiply the positive fraction 1/4 by the negative fraction -2/3.

1/4 * (-2/3)

We can simplify this expression by multiplying the numerators together and multiplying the denominators together:

(1 * -2) / (4 * 3)

-2/12

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

-2/12 = (-1 * 2) / (6 * 2) = -1/6

So the result of multiplying a positive fraction by a negative fraction is a negative fraction.

### What is the result of repeated multiplication?

The result of repeated multiplication is the product of the numbers that are being multiplied together multiple times.

For example, if we repeatedly multiply the number 2 by itself, we get:

- 2 x 2 = 4
- 4 x 2 = 8
- 8 x 2 = 16
- 16 x 2 = 32
- and so on.

The result of repeated multiplication in this case is an exponentially increasing sequence of numbers that are all multiples of 2.

Similarly, if we repeatedly multiply any two numbers together, we get a product that is the result of multiplying those numbers multiple times. The result of repeated multiplication depends on the numbers being multiplied and how many times they are being multiplied.

## Images related to Fractional multiplications – unexpected results of positive numbers [duplicate]

Found 28 Fractional multiplications – unexpected results of positive numbers [duplicate] related images.

You can see some more information related to Fractional multiplications – unexpected results of positive numbers [duplicate] here

- Math Help: Multiplying fractions
- Why are fractions “multiplied across”? – Math Stack Exchange
- Reasoning about Multiplication – Illustrative Math Tasks
- Multiplying Negative Fractions – Video & Lesson Transcript | Study.com
- Powers and exponents – Discover fractions and factors – Mathplanet
- Math.5.NF.5a or 5.NF.B.5.A – Learning Farm
- Math Mammoth Fractions 2
- Multiplying and dividing fractions – Project Maths
- Teaching Fractions According to the Common Core Standards
- (PDF) Why is learning fraction and decimal arithmetic so …
- Operations on Signed numbers – Math help from the Learning …
- Copy of DIY Maths: Ordering negative numbers – LibGuides
- What Every Computer Scientist Should Know About Floating …
- How to deal with floating point number precision in JavaScript?

### Comments

There are a total of 361 comments on this question.

- 731 comments are great
- 238 great comments
- 470 normal comments
- 90 bad comments
- 3 very bad comments

So you have finished reading the article on the topic **Fractional multiplications – unexpected results of positive numbers [duplicate]**. If you found this article useful, please share it with others. Thank you very much.