Learn Decimal Multiplication With These Decimal Multiplication Worksheets
Decimals are an important part of math and our everyday lives. We use decimals in our daily lives when we’re dealing with money, weight, length and so much more. But, what is a decimal? A decimal is a kind of number. It has a whole number part and a fraction part, which are separated by a decimal point. The decimal point is denoted by a dot ( . ). The fractional part, which are the digits to the right of the decimal point, shows a value less than 1. Learn and practice how to multiply decimals using Decimal multiplication worksheets.
We use decimals in situations where we need more precision than whole numbers can provide.
For example: If a recipe calls for 0.5 teaspoons of salt, you need to measure 0.5 teaspoons of salt and add it to the dish. If you don’t measure and add more, the dish ends up too salty and if you add less, it’ll be bland. This is why the recipe calls for a precise measurement of the ingredients. Decimal multiplication worksheets help you learn such concepts easily.
For example: When you’re at a restaurant, you’ll see that the items on the menu are priced at $9.99 or $15.48. These are decimal numbers. Here 9 is the whole number and 99 is the fractional part. The decimal point separates the whole number 9 from the fractional number 99, which is 99 hundredths. Let’s consider another example. Let’s take the number 19.34.
A tenth means 1/10 and a hundredth means 1/100. In the decimal system, they’re written as 0.1 and 0.001. So, 4 tenths here means 4/10 and 8 hundredths means 8/100.
Decimal numbers are based on the number 10, powers of 10 or tenth parts. So as you move from left to right after the decimal point, the place value of digits gets divided by 10. This means that the decimal place value determines the tenths, hundredths and thousandths.
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Decimal Multiplication Worksheets
Now that you know the rules for multiplying decimals, you need to practice. The best way to practice is to solve decimal multiplication worksheets. The more decimal multiplication worksheets you practice on, the more confident you’ll be when you have to multiply decimal numbers in a trice.
Decimal multiplication worksheets: Multiply single-digits with decimals
Decimal multiplication worksheets: Multiply 2 digit numbers with decimals
Decimal multiplication worksheets: Multiply decimals in columns
Decimal multiplication worksheets with money notation
Decimal multiplication worksheets: Multiply by 10 and powers of 10
Just like with whole numbers, sometimes you’ll need to add, subtract, multiply and divide decimals too.
For example: Imagine you’re at a restaurant with your friends. The bill for your meal is $60.55, including a tax of $4.84. You have to tip your waitress, so you need to double the tax to calculate the tip. Now, if you don’t know how to multiply decimals, you won’t be able to calculate the tip. This is where multiplying decimals will come in handy.
Now, in this electronic age, you could calculate the amount for the tip using a calculator. But what if you pushed the wrong button or don’t have a calculator handy? In such situations, it helps to know how to multiply decimals. To multiply decimal numbers, you follow the same process that you use to multiply whole numbers. The only difference is you have to place the decimal point correctly when you multiply decimal numbers.
As you can see, the digits in the answer didn’t change. The difference lies in the placement of the decimal point.
Here Are Some Rules For Multiplying Decimals:
- Multiply the numbers like you would multiply whole numbers.
- Line up the numbers on the right without aligning the decimal points.
- Just like with whole numbers, multiply each digit in the top number by each digit in the bottom number, starting with the digits on the right.
- Then add the products and place the decimal point.
How to place the decimal point?
- First, count the total number of decimal places in each of the factors that you’re multiplying.
- Now, add the number of decimal places in each factor. So, in 25.2 X 3.5, we have 1 decimal place for each factor. 1 + 1 = 2.
- Therefore, the product (answer) will have 2 decimal places. So, 25.2 X 3.5= 88.20.
- When multiplying a number by 10 or a multiple of 10, move the decimal point one space to the right for every zero in the multiple of 10. For example: 10 x 0.624 = 6.24 and 100 x 0.624 = 62.4 and so on.
- Sometimes you might have to add zeros in front of the product to get the right number of decimal places. For example: 0.054 x 0.04
- If the product has zeros to the right of the digits, keep them until you place the decimal point. You can drop the zero, once the decimal point is placed. For example: If the product of two numbers is 39.7800, you can drop the last two zeros.
For example: In the sum, 25.2 X 3.5, the first factor (25.2) has 1 decimal place and the second factor (3.5) also has 1 decimal place.
0.054 ————- 3 decimal places
X 0.04 ———— 2 decimal places
The product should have 5 decimal places.
So, you add two zeros to the left of the product to get 5 decimal places. So the product should be written as 0.00216.