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.

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

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