To solve the multiplication problem 26.994 x 6, we first need to understand the basics of multiplication with decimals. Multiplication of decimals is similar to the multiplication of whole numbers, with the additional step of correctly placing the decimal point in the product. The number of decimal places in the product is the sum of the decimal places in the factors. In this case, 26.994 has 3 decimal places, and since 6 is a whole number (which can be thought of as having 0 decimal places), the product will have 3 decimal places.
Multiplication Process
We multiply 26.994 by 6 as follows: First, ignore the decimal point in 26.994 and multiply 26994 by 6. This calculation yields 161964. Then, we place the decimal point in the product. Since 26.994 has 3 decimal places, we count 3 places from the right in 161964 and place the decimal point there, resulting in 161.964.
Calculation Details
The step-by-step multiplication process can be outlined as follows:
- Multiply 26994 by 6: 26994 * 6 = 161964
- Place the decimal point: Since 26.994 has 3 decimal places, the product is 161.964.
This process ensures that the multiplication is performed correctly, taking into account the decimal places in the original number.
| Multiplication Factor | Number of Decimal Places | Product |
|---|---|---|
| 26.994 | 3 | 161.964 |
| 6 | 0 |
Verification and Application
To verify the multiplication result, we can use a calculator or perform the calculation in parts, breaking down 26.994 into whole and decimal parts (26 + 0.994) and then multiplying each part by 6 before adding them together. This method helps in cross-checking the result obtained through direct multiplication.
Alternative Calculation Method
An alternative way to calculate 26.994 x 6 is by breaking down 26.994 into 26 and 0.994, then multiplying each by 6, and finally adding the results together.
26 x 6 = 156
0.994 x 6 = 5.964
Adding these results: 156 + 5.964 = 161.964
This method confirms the initial result obtained through direct multiplication.
What is the rule for placing the decimal point in the product of a decimal multiplication?
+The rule is that the number of decimal places in the product is the sum of the decimal places in the factors. For example, if one factor has 3 decimal places and the other has 2, the product will have 5 decimal places.
How can I verify the result of a decimal multiplication?
+You can verify the result by using a calculator, breaking down the multiplication into parts (separating whole and decimal parts), or using an alternative method such as converting the decimal to a fraction and then multiplying.
