Question

Is 202 hundredths bigger than or smaller than 2 hundreds and 2 thousandths?

A. Bigger
B. Smaller
C. Equal
D. None of the above

Answer 1

The decimal equivalent of 202 hundredths is 2.02, and the decimal equivalent of 2 hundreds and 2 thousandths is 200.002. After comparing the two, it is evident that 2.02 is smaller than 200.002. Hence, 202 hundredths is smaller than 2 hundreds and 2 thousandths.

Step-by-step explanation:

When comparing 202 hundredths with 2 hundreds and 2 thousandths, we can first convert both numbers to their decimal form. One hundred is equivalent to the decimal 1.00, and one hundredth is equivalent to 0.01. Therefore, 202 hundredths is equivalent to 2.02. On the other side, 2 hundreds would be the decimal 200.00, and 2 thousandths would be 0.002, giving us a total of 200.002 when combined.

Now, we compare the two numbers:

• 202 hundredths = 2.02
• 2 hundreds and 2 thousandths = 200.002

It is clear that 2 hundreds and 2 thousandths is much larger than 202 hundredths because 200.002 is greater than 2.02. Therefore, the answer to the question, 'Is 202 hundredths bigger than or smaller than 2 hundreds and 2 thousandths?' is:

B. Smaller