7. When multiplying decimals, it's important to consider the place value of each digit.Group of answer choicesTrueFalse
Question
7. When multiplying decimals, it's important to consider the place value of each digit.
Group of answer choices
- True
- False
Solution
Answer: True
When multiplying decimals, considering the place value of each digit is crucial. The reason for this is that the position of each digit relative to the decimal point affects the final product. For instance, when multiplying a decimal like 0.2 by 0.3, the result involves determining how many decimal places to include based on the original numbers.
To explain further, both 0.2 (which has one decimal place) and 0.3 (which also has one decimal place) have a total of two decimal places combined. Therefore, the product of 0.2 and 0.3 is 0.06, which appropriately has two decimal places.
This process ensures the accuracy of the multiplication of decimal numbers and is a fundamental aspect of arithmetic operations with decimals.
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