Question

How does writing 3.441 in expanded form show why the same digit can have different values?

Answer 1

Answer and Explanation:

Given : Number 3.441

To find : How does writing number in expanded form show why the same digit can have different values?

Solution :

Writing number in expanded form,

$3.441=3\times 1+4\times \frac{1}{10}+4\times \frac{1}{100} +4\times \frac{1}{1000}$

or $3.441=3\times 1+4\times10^{-1}+4\times10^{-2}+4\times 10^{-3}$

The same digit 4 have different values because their place values are different as tenths and hundredths so their face value change.

As tenth place 4 is 0.4 and hundredths place 4 is 0.04.

Answer 2

Answer:
Standard Form:

3.441

Expanded forms can be written
like a sentence or stacked for
readability as they are here.

Expanded Numbers Form:

 3 + 0.4+ 0.04+ 0.001
Expanded Factors Form:

 3 ×1 +4 × 0.1+4 × 0.01+1 × 0.001
Expanded Exponential Form:

3 × 100+4 × 10-1+4 × 10-2+1 × 10-3
Word Form:

three and
four hundred forty-one thousandths