Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a place value chart to correct Janice’s error.

Janice is wrong because hundredths and thousandths are not the same thing as hundreds and thousands.

In decimal values, thousandths are less that hundredths. 20 thousandths are 2 hundredths, not the other way around.

I mean .20 and .020

so is it .02 and .002?

Janie 00

It is equivalent

no

i think it is right

To correct Janice's error, we need to understand the place value system and how it works. Let's break it down using words and a place value chart.

In the place value system, each digit's position represents its value relative to other digits. Starting from the rightmost position, we have ones, tens, hundreds, thousands, and so on. Each position is ten times greater than the one to its right.

Now, let's consider the numbers in question:

20 hundredths: This means we have 20 parts out of 100. In decimal form, it is written as 0.20. In the place value chart, we represent it as:

|--------|--------|--------| . | 2 | 0 |

2 thousandths: This means we have 2 parts out of 1000. In decimal form, it is written as 0.002. In the place value chart, we represent it as:

|--------|--------|--------| . | 0 | 0 | 2 |

By comparing the two, we can clearly see the difference in their values. In the first case, 20 hundredths is larger than 2 thousandths because the hundreds place is greater than the thousandths place. The second place in the first number represents tenths, while the last place in the second number represents thousandths.

Therefore, 20 hundredths is not equivalent to 2 thousandths. The correct comparison would be 20 hundredths being equal to 200 thousandths since the hundreds place is equivalent to three places to the right of the decimal point in the thousandths place.