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Sagot :
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:
[tex]103.903=100+3\times1+9\times \frac{1}{10}+3\times \frac{1}{1000}[/tex]
Step-by-step explanation:
Given : Alex wrote 103.903 in expanded form as
[tex]100+3\times1+9\times \frac{1}{100}+3\times \frac{1}{1000}[/tex]
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
[tex]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}[/tex]
or [tex]103.903=100+3\times1+9\times \frac{1}{10}+3\times \frac{1}{1000}[/tex]
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