What is the standard algorithm for decimal multiplication?
What is the standard algorithm for decimal multiplication?
Multiplying decimals example. To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
What is an example of multiplying decimals?
In multiplication of decimal numbers, the order of the groupings can be changed without changing product. For instance:02 × (11.2 × 2.3) = (1.02 × 2.3) × 11.2. The product of a whole number and decimal number remains the same when the numbers are multiplied in any order. For example: 1.8 × 11 = 11 × 1.8 = 19.8.
How do you multiply a standard algorithm?
The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. What you do with this algorithm is multiply the top number by the bottom number one digit at a time, working your way from right to left.
How do you solve decimals?
To multiply decimals, just multiply as usual. Then count the total number of digits above the line that are to the right of all decimal points. Place your decimal point in your answer so there are the same number of digits to the right of it as there are above the line.
What are the rules for multiplying decimals?
Here are the rules for multiplying decimal numbers: Multiply the numbers just as if they were whole numbers: Line up the numbers on the right–do not align the decimal points. Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.
How do you multiply decimals?
How to Multiply Decimals. Just follow these steps: Multiply normally, ignoring the decimal points. Then put the decimal point in the answer – it will have as many decimal places as the two original numbers combined. In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying,…
What is the standard algorithm for multiplication?
The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add. However, in the standard way the adding is done at the same time as multiplying.
How do you multiply multi digit numbers?
How to Do Multi-Digit Multiplication. The steps for multi-digit multiplication are: Take a Digit from the Multiplier Take a digit from the multiplier starting from the left. Multiply by the Multiplicand. Multiply the single digit and from the multiplier and the multiplicand to get an intermediate product.