how do u mutiply decimals
and how do u make a decimal into a fraction
do you mean long-hand??
write down the numbers the way you would whole numbers, skipping the decimal
perform the multiplication as if you had no decimals
count up the total number of decimal places in the two multipliers.
count off that many places in your answer going from right to left and mark the decimal place.
eg 3.41 x 52.6
3.41
52.6
---------
**2046
**682
1705
------
179366 -------> total of 3 decimal places needed
so 3.41 x 52.6 = 179.366
for your second question:
write down the number without the decimal place.
Divide by 10 if there is one decimal place, by 100 if you have 2 decimal places, by 1000 if you have 3 decimal places etc.
reduce your fraction to lowest terms
Does the longhand method of multiplication look familiar? Or are you more familiar with a multiplication grid?
179.366
To multiply decimals, you can use the long-hand method as shown in the previous explanation. However, there is another method called the multiplication grid method that you might find more familiar. Here's how it works:
1. Write the decimal numbers in a grid with one number in each row and column.
2. Multiply the digits as if they were whole numbers, ignoring the decimal points.
3. Count the total number of decimal places in both numbers.
4. Place the decimal point in the product by counting that many places from the right.
For example, let's use the numbers 3.41 and 52.6 again:
| 3 | . | 4 | 1
---|---|---|---|---
| | | 5 | 2 | . | 6
-----------------------
| | | 2 | 0 | 4 | 6
| | | 6 | 8 | 2
| | 1 | 7 | 0 | 5
-----------------------
| 1 | 7 | 9 | . | 3 | 6 | 6
As you can see, the result is the same as before: 179.366.
Now let's move on to converting decimals to fractions:
1. Write down the decimal number without its decimal point.
2. Count the number of decimal places in the number.
3. Write the number as the numerator of a fraction.
4. The denominator of the fraction is 1 followed by the same number of zeros as the decimal places.
5. Simplify the fraction if possible by dividing both the numerator and denominator by their greatest common divisor.
For example, let's convert 0.75 to a fraction:
1. Write down 75.
2. Count the two decimal places in the number.
3. Write the numerator as 75.
4. The denominator is 1 followed by two zeros, which is 100.
5. Simplify the fraction by dividing both the numerator and denominator by 25: 75 ÷ 25 = 3 and 100 ÷ 25 = 4.
6. The simplified fraction is 3/4.
So, 0.75 can be written as the fraction 3/4.
I hope this helps! Let me know if you have any more questions.