Exploring Negative Rational Numbers

The lesson explains how to compare negative rational numbers by converting fractions to decimals. It uses the example of negative 5 and one-fifth compared to negative 5 and 25 hundredths. The process involves converting the fraction to a decimal and then comparing the numbers by analyzing their place values. The lesson concludes that negative 5 and one-fifth is greater than negative 5 and 25 hundredths.

What are the two negative rational numbers given in the example?

• Negative 5 and one-fourth, and negative 5 and 25 hundredths

• Negative 5 and one-fourth, and negative 5 and 2 tenths

• Negative 5 and one-fifth, and negative 5 and 25 hundredths

• Negative 5 and one-fifth, and negative 5 and 2 tenths

Why is it necessary to convert one of the numbers to a different form?

• To make them both fractions

• To make comparison easier

• To make them both decimals

• To make them both positive

What is the decimal equivalent of negative 5 and one-fifth?

• Negative 5.25

• Negative 5.2

• Negative 5.1

• Negative 5.5

When comparing the place values, what is the hundreds place value for negative 5 and 2 tenths?

• 2

• 5

• 0

• None

Which place value is compared after the tenths place?

• Ones place

• Hundreds place

• Thousands place

• Tens place

How does the negative sign affect the comparison of the numbers?

• It has no effect

• It reverses the comparison

• It makes the smaller number larger

• It makes the larger number smaller

Which number is greater: negative 5 and 2 tenths or negative 5 and 25 hundredths?

• Negative 5 and 25 hundredths

• Negative 5 and 2 tenths

• They are equal

• Cannot be determined

What is the final comparison result?

• Negative 5 and one-fifth is not comparable to negative 5 and 25 hundredths

• Negative 5 and one-fifth is equal to negative 5 and 25 hundredths

• Negative 5 and one-fifth is greater than negative 5 and 25 hundredths

• Negative 5 and one-fifth is less than negative 5 and 25 hundredths

What is the main takeaway from this lesson?

• Negative numbers are always smaller

• Decimals are easier to compare than fractions

• Negative rational numbers can be compared by converting to the same form and using place value

• Fractions are always larger than decimals