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In Mathematics / Middle School | 2014-09-16

Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundredths is equal to 2 thousandths.

Use words and a place value chart to correct Janice's error.

Asked by jimjo726

Answer (3)

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.

Answered by MsEHolt | 2024-06-11

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

Answered by Amritanshup | 2024-06-12

Janice's error is in thinking that 20 hundredths equals 2 thousandths. In reality, 20 hundredths is 0.2, while 2 thousandths is only 0.002, making 0.2 significantly greater than 0.002. Therefore, 20 hundredths and 2 thousandths are not equivalent values.
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Answered by Amritanshup | 2024-08-16