Adding Rational Numbers: Decimals

This video tutorial explains how to add rational numbers, focusing on numbers in decimal form. It begins by comparing the process to adding integers, emphasizing the importance of absolute values. The tutorial provides a detailed example of adding numbers with different signs, demonstrating the subtraction of absolute values and determining the sign of the result based on the larger absolute value. The lesson concludes with a summary of the key steps and concepts covered.

What is the first step when adding two rational numbers with different signs?

• Subtract their absolute values and keep the sign of the smaller number.

• Add their absolute values and use the sign of the smaller number.

• Subtract their absolute values and use the sign of the number with the larger absolute value.

• Add their absolute values and keep the sign of the larger number.

In the example given, which number is used as the minuend?

• One and 5/10

• Two and 15 hundredths

• Three and 5/10

• One and 35 hundredths

Why is it helpful to place a zero in the hundredths place during subtraction?

• To keep track of the subtraction more easily.

• To make the subtraction more complex.

• To change the value of the number.

• To make the numbers look bigger.

What is the final result of adding 1 and 35 hundredths and -3 and 5/10?

• 2 and 15 hundredths

• -2 and 15 hundredths

• 1 and 15 hundredths

• -1 and 15 hundredths

What is the key takeaway from the lesson on adding rational numbers in decimal form?

• Use the rules for adding integers to add rational numbers.

• Convert all numbers to fractions before adding.

• Subtract the numbers and ignore the signs.

• Always add the numbers regardless of their signs.