Question

Mr. Pham wrote 2.619 on the board. Christy says it is two and six hundred nineteen thousandths. Amy says it is 2 ones 6 tenths 1 hundredth 9 thousandth. Who is right? Use words and numbers to explain

Answer 1

Christy says:

$2.619 = 2 + \frac{619}{1000}$ which is the same as
$2.619 = 2+0.619$

Christy is correct because six hundred nineteen thousandth is the same as saying six hundred and nineteen divided by thousand which equals to 0.619

Amy says:

$2.619 = 2+ \frac{6}{10}+ \frac{1}{100}+ \frac{9}{1000}$
$2.619 = 2+0.6+0.01+0.009$

Amy is also correct as the digit six worth six tenth, the digit one worth one hundredth and the digit nine worth nine thousandth.

Answer 2

Christy and Amy both are right.

Further explanation:

Given:

Mr. Pham wrote 2.619 on the board. Christy said the number is two and six hundred nineteen thousandths.

Amy said the number is 2 ones 6 tenths 1 hundredth 9 thousandth.

Calculation:

According to the Christy the number is two and six hundred nineteen thousandths.

The number 2.619 can be written according to the Christy as follows,

$\begin{aligned}\hfill2.619\mathop&^{?}_{=}2+\frac{{619}}{{1000}}\\\hfill2.619\mathop&^{?}_{=}2+0.619\\\hfill2.619&=2.619\\\end{aligned}$

In the above calculation the symbol $\mathop=\limits^?$  is used to check that right hand side and left hand side is equal or not.

Therefore, the left hand side and right hand side is equal.

According to Christy the number 2.619 is two and six hundred nineteen thousandths.

Therefore, Christy is correct.

According to the Amy the number is 2 ones 6 tenths 1 hundredth 9 thousandth.

The number 2.619 can be written according to the Amy as follows,

$\begin{aligned}\hfill 2.619\mathop&^{?}_{=}2+\frac{6}{{10}}+\frac{1}{{100}}+\frac{9}{{1000}}\\\hfill2.619\mathop&^{?}_{=}2+0.6+0.01+0.009\\\hfill2.619&=2.619\\\end{aligned}$

Therefore, the left hand side and right hand side is equal.

According to Amy the number 2.619 is 2 ones 6 tenths 1 hundredth 9 thousandth.

Thus, Amy is correct.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Numbers

Keywords

Mr. Pham, Christy, Amy, hundredths, thousandths, nineteen, right hand side, left hand side.