Answer:
If we only use tenths, then we wont be able to model the hundredths place value that is the value of 4 in the given decimal.
Step-by-step explanation:
We are given the number 6.84
The place value chart for this number can be written as:
Place value: Ones . Tenths Hundredths
6.84: 6 . 8 4
The decimal expansion can be written as:
[tex]6.84 = 6\times 1 + 8\times \displaystyle\frac{1}{10} + 4\times \displaystyle\frac{1}{100}[/tex]
If we only use tenths, then we wont be able to model the hundredths place value that is the value of 4 in the given decimal.
To model 4 that is 0.04, we need
[tex]\displaystyle\frac{1}{10}\times \displaystyle\frac{1}{10}\times 4 = 0.04[/tex]
To model 6, we need
[tex]10\times \displaystyle\frac{1}{10}\times 6 = 6[/tex]
