Question

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.

Answer 1

Explanation:

On the left hand side of the place value chart, 20 hundreds is equal to 2 thousands because thousands is larger than hundreds. 2 thousands is 2(1000)=2000. 20 hundreds is 20(100)=2000. They are the same number.

However, on the right hand side of the place value chart, hundredths is larger than thousandths. To say that 20 hundredths is the same as 2 thousandths is incorrect, because you're saying more of a larger quantity is the same as less of a smaller quantity.

Hundredths are two places after the decimal, and have a value of 0.01. 20 hundredths is 20(0.01) = 0.2.

Thousandths are three places after the decimal and have a value of 0.001. 2 thousandths is 2(0.001) = 0.002.

We can write 0.2 as 0.200; this way we can see that 0.200 is larger than 0.002. They are not equal.

Answer 2

The error in Janice statement is that 20 hundredths in equivalent to 2 thousandths.

Further explanation:

Given that Janice thinks that 20 hundredths is equal to 2 thousandths because he thinks that 20 hundreds is equal to 2 thousands.

Explanation:

From the place value chart we can observe that 10 hundreds is equal to 1 thousands.

Then 20 hundreds will be equal to 2 thousands, since two thousand can be written as,

$2\left({1000}\right)=2000$

Ten hundreds can be written as,

$20\left({100}\right)=2000$

From place value chart it is also observed that hundredths is greater than thousandths.

Hundredths are two places after decimal and the thousandths are 3 places after the decimal.

Twenty hundredths can be written as,

$\dfrac{{20}}{{100}}=0.2$

Two thousandths can be written in the form of decimals as follows:

$\dfrac{2}{{1000}}=0.002$

It is observed from two thousandths and twenty hundredths that both are not same.

It is also observed from two thousandths and twenty hundredths that twenty hundredths is greater than two thousandths.

Twenty hundredths can also be written as follows:

$0.2=0.200$

Therefore, from place value chart it is seen that 20 hundredths in not equivalent to 2 thousandths but 20 hundreds is equal to 2 thousands.

Thus, the error in Janice statement is that 20 hundredths in equivalent to 2 thousandths.

Learn more:

1. Learn more about equations brainly.com/question/788903

2. Learn more about algebraic expression brainly.com/question/5533462

3. Learn about place value chart brainly.com/question/1822996

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Numbers

Keywords:  Janice, hundreds, thousands, hundredths, thousandths, place value chart, decimal, greater, error, equivalent, numbers.