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

`103.903=100+3*1+9* (1)/(10)+3* (1)/(1000)`

Explanation:

Given : Alex wrote 103.903 in expanded form as

`100+3*1+9* (1)/(100)+3* (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* 100+0* 10+3*1+9* (1)/(10)+0* (1)/(100)+3* (1)/(1000)`

or
`103.903=100+3*1+9* (1)/(10)+3* (1)/(1000)`

Answer 2

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