Comparing and Representing Decimals

The video tutorial explains how to compare two decimal numbers, 9.97 and 9.798, by examining their place values starting from the largest to the smallest. The tutorial demonstrates that the number with the larger tenths place is greater, regardless of the smaller place values. It further illustrates this by converting the numbers into fractions with a common denominator, confirming that 9.97 is greater than 9.798.

What is the first step in comparing two decimal numbers?

• Convert them to whole numbers

• Start with the smallest place value

• Compare the numbers as fractions

• Begin with the largest place value

In the tenths place, which number is larger: 9.97 or 9.798?

• 9.798

• 9.97

• They are equal

• Cannot be determined

Why is the tenths place more important than the hundredths or thousandths place in this comparison?

• It determines the overall size of the number

• It is the smallest place value

• It is the only place value that matters

• It is easier to calculate

How does increasing the thousandths place affect the number 9.798?

• It remains less than 9.8

• It becomes less than 9.7

• It becomes greater than 9.9

• It becomes equal to 9.8

How can you express 9.97 as a fraction in terms of thousandths?

• 9700/1000

• 997/1000

• 970/1000

• 9970/1000

What is the value of 9 in terms of thousandths?

• 900/1000

• 9000/1000

• 90/1000

• 90000/1000

What is the sum of 9 and 9/10 in terms of thousandths?

• 9900/1000

• 9000/1000

• 9700/1000

• 9970/1000

What is the fractional representation of 9.798 in terms of thousandths?

• 9879/1000

• 9789/1000

• 9798/1000

• 9987/1000

Which number is greater when comparing 9.97 and 9.798 using fractions?

• They are equal

• 9.97

• 9.798

• Cannot be determined

Why is 9.97 greater than 9.798?

• Because 9.97 has more thousandths

• Because 9.97 has a larger tenths place

• Because 9.798 has fewer hundredths

• Because 9.798 has more thousandths