Which value is not equivalent 0.37 0.370 37/100
The correct answer and explanation is:
Let’s analyze each value to see if they are equivalent:
- 0.37 — This is a decimal number representing thirty-seven hundredths.
- 0.370 — This is also a decimal number. It looks like 0.37 but with an extra zero at the end.
- 37/100 — This is a fraction representing thirty-seven parts out of one hundred.
Step 1: Convert the fraction to decimal
The fraction 37/100 means 37 divided by 100: 37÷100=0.3737 \div 100 = 0.37
So, 37/100 = 0.37 in decimal form.
Step 2: Compare 0.37 and 0.370
When it comes to decimal numbers, adding trailing zeros after the last non-zero digit does not change the value.
- 0.37 means 3 tenths and 7 hundredths.
- 0.370 means 3 tenths, 7 hundredths, and 0 thousandths (which is zero).
In other words: 0.37=0.370=0.3700=…0.37 = 0.370 = 0.3700 = \ldots
They all represent the same exact number — thirty-seven hundredths.
Conclusion:
- 0.37 = 0.370 = 37/100
All three values represent the same number: thirty-seven hundredths.
Which value is not equivalent?
None of the values listed is not equivalent. They are all equal.
Additional explanation (300 words):
Understanding equivalence among decimal numbers and fractions is essential in math. A decimal like 0.37 is a way to write fractions based on powers of ten. Here, 0.37 means 3 tenths plus 7 hundredths, which is the same as the fraction 37100\frac{37}{100}.
Sometimes decimals are written with extra zeros at the end, such as 0.370 or 0.3700. These extra zeros do not change the value of the number because they are just placeholders. For example, 0.37 and 0.370 are exactly the same number. Think of it like writing $37.00$ in money — the extra zeros after the decimal point show precision but do not increase or decrease the amount.
The fraction 37/100 can be converted to decimal by dividing 37 by 100, which equals 0.37. This confirms that the fraction and decimal forms are equivalent.
In summary, 0.37, 0.370, and 37/100 all represent the exact same value — thirty-seven hundredths. None of these values is different from the others in terms of magnitude or numerical value.
If you were asked to identify a value that is not equivalent, you would need a number that is either larger or smaller, like 0.38 or 0.073, which are clearly different from 0.37.