Question

Alex wrote 103.903 in expanded form as 100+3 x 1+9 x 1/100 +3 x 1/1000. Explain his mistake then tell how to correct it.

Answer 1

Your mistake was in this part  9 x 1/100 . After the decimal point the place value starts with tenths so you should write 9 x 1/10 .

Place values

Before the decimal point

3 ones = 3 x 1

0 tens = 0 x 10

1 hundreds = 1 x 100

After the decimal point

9 tenths = 9 x 1/10

0 hundredths = 0 x 1/100

3 thousandths= 3 x 1/1000

1 x 100 + 0 x 10 + 3 x 1 + 9 x 1/10 + 0 x 1/100 + 3 x 1/1000

  100     +    0     +   3    +    0.9      +     0        +    0.003

           100         + 3      +          0.9                +     0.003 =  103.903

 

Answer 2

Answer:

$103.903=100+3\times1+9\times \frac{1}{10}+3\times \frac{1}{1000}$    

Step-by-step explanation:

Given : Alex wrote 103.903 in expanded form as

$100+3\times1+9\times \frac{1}{100}+3\times \frac{1}{1000}$

To find : Explain his mistake then tell how to correct it ?

Solution :

The Alex expansion of the number is not correct as 9 is at tenths place so 9 is multiply by 1 by 10 not 1 by 100.

The correct expanded form of the number 103.903 is

$103.903=1\times 100+0\times 10+3\times1+9\times \frac{1}{10}+0\times \frac{1}{100}+3\times \frac{1}{1000}$

or $103.903=100+3\times1+9\times \frac{1}{10}+3\times \frac{1}{1000}$