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How do you describe an algorithm with rational numbers?

Describe an algorithm for dividing rational numbers.


How do you separate a number from it's decimal numbers?

With scissors? Or try subtracting the decimal away!


When subtracting or adding numbers in scientific notation why do the exponents need to be the same?

This is effectively the same as lining up the decimal points when adding or subtracting ordinary decimal fractions.


Why it is important to line up decimal numbers by their play value when you add or subtract them?

This is true for adding and subtracting ALL numbers, not just decimal representations.


When adding or subtracting decimals the decimal point must be in line for all numbers?

Yes.


Why is it important to align decimal point when adding or subtracting decimal numbers?

Because if you dont , your answer will be a whole number and that will make your answer wrong


Which of these rules is applicable to subtracting two values that have different numbers of decimal places for example subtracting 2.1 from 2.15?

None of the following rules are applicable.


How is adding and subtracting decimals similar to and different from adding and subtracting whole numbers?

You write down the numbers you want to add and subtract, making sure the decimal points are aligned. Then, you add (or subtract) EXACTLY as you would add or subtract integers. The decimal point in the solution should be aligned with the decimal points in the original numbers.


How do you subtract numbers with significant figures?

When subtracting numbers with significant figures, the answer should be rounded to the same number of decimal places as the number with the fewest decimal places. This ensures that the final answer reflects the precision of the original numbers.


How is adding in subtracting decimals similar to Adding and subtracting whole numbers?

Adding and subtracting decimals is similar to adding and subtracting whole numbers in that both processes involve aligning the numbers by their place values and performing the operation digit by digit. Just as with whole numbers, you start from the rightmost digit and move left, carrying over or borrowing as needed. The key difference is ensuring that the decimal points are aligned correctly to maintain accuracy in the values. Overall, the fundamental principles of addition and subtraction remain the same regardless of whether the numbers are whole or decimal.


Why do you estimate when adding or subtracting decimal numbers?

In more than 40 years as a mathematician, I have never needed to do so.


When do you need to write zero as a placeholder when adding and subtracting decimals?

Adding decimal same as adding whole numbers