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We can read 2.015 as 2 and 15 thousandths.
C
We are given four statements and want to determine which one is not true. Let's rewrite each decimal number as a fraction or a mixed number in simplest form. Then we can see which result does not match its given number. We can organize the numbers in a table.
| Decimal Number | Fraction or Mixed Number |
|---|---|
| 0.6 | |
| 0.125 | |
| 2.015 | |
| 10.38 |
Let's consider the first decimal number.
0.6
This number can be read as 6 tenths.
This means that we can write it as a fraction with a numerator of 6 and with a denominator of 10. Then we can simplify the fraction by dividing both the numerator and denominator by 2.
We found that 0.6= 35. Now we will consider the next decimal number.
0.125
This number can be read as 125 thousandths.
This means that we can write it as a fraction with a numerator of 125 and with a denominator of 1000, then simplify the fraction by dividing both the numerator and denominator by 125.
We found that 0.125= 18. Next, let's rewrite the third decimal number.
2.015
We can read this number as 2 and 15 thousandths.
This means that we can write it as an integer number 2 and a fraction with a numerator of 15 and with a denominator of 1000. Let's simplify the fraction by dividing both the numerator and denominator by 5.
We found that 2.015=2 3200. Finally, let's rewrite the last decimal number.
10.38
This number can be read as 10 and 38 hundredths,
so let's write it as an integer number 10 and a fraction with a numerator of 38 and with a denominator of 100. Then we can simplify the fraction by dividing both the numerator and denominator by 2.
Now let's compile our calculations into our the table.
| Decimal Number | Fraction or Mixed Number |
|---|---|
| 0.6 | 3/5 |
| 0.125 | 1/8 |
| 2.015 | 2 3200 |
| 10.38 | 10 1950 |
We can see that 2.015 is not equal to 2 1100. This means that the correct answer is C.