SOLUTION: I need to understand how the two decimals are equal to each other. Also, I need to know the word forms of each decimal. Below is the equal comparison of the decimals. 21.070

Algebra ->  Decimal-numbers -> SOLUTION: I need to understand how the two decimals are equal to each other. Also, I need to know the word forms of each decimal. Below is the equal comparison of the decimals. 21.070      Log On


   



Question 1206344: I need to understand how the two decimals are equal to each other.
Also, I need to know the word forms of each decimal.
Below is the equal comparison of the decimals.
21.070 = 21.07

Found 3 solutions by math_tutor2020, josgarithmetic, Edwin McCravy:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Both represent the word form "twenty-one and seven hundredths".

This calculator is useful to convert from numbers to word form.
https://www.calculatorsoup.com/calculators/conversions/numberstowords.php
I recommend using it to help you practice rather than using it to give you the answer only.

The keyword "and" represents the decimal point.
It's what separates the whole part (on the left) from the fractional part (on the right).

21.070 = 21.07 is true because the 0 at the end of "21.07" does not change the number.
It's like saying 1 = 1.0 = 1.00

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
21.070
reaches to the thousandth's place.
...., AND seventy thousandths


21.07
reaches into the hundredth's place.
..., AND seven hundredths

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

21.070 = 21.07

They are equal in pure mathematics, but not in applied mathematics,
where all decimal numbers are considered as inexact rounded off 
measurements.

In applied mathematics,

21.070 means some number x in the interval 21.0695 ≤ x < 27.0705.

21.07 means some number x in the interval 21.065 ≤ x < 21.075.

In each case, x is known with no more precision than that, because the 
measuring device is only capable of determining measurements to that
many decimals places.

Edwin