Grade 5 Decimals: Decimal Place Value

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   What is the value of the digit 6 in 94.186?

   1. Find the 6 in 94.186: it is the third digit after the decimal point, the thousandths place.
   2. A digit in the thousandths place is worth that many thousandths: 6 thousandths = 6 ÷ 1000 = 0.006.
   3. So the value of the digit 6 is 0.006.

   Answer: 0.006

2. Example 2

   Which digit is in the thousandths place of 41.699?

   1. After the decimal point the places go tenths, hundredths, thousandths.
   2. In 41.699 the digits after the point are 6 in the tenths, 9 in the hundredths, 9 in the thousandths place.
   3. So the digit in the thousandths place is 9.

   Answer: 9

3. Example 3

   Write as a decimal: 97 + 6 × (1/10) + 9 × (1/100) + 7 × (1/1000)

   1. 97 is the whole-number part, so it goes in front of the decimal point.
   2. 6 × (1/10) is 6 tenths, so the tenths digit is 6.
   3. 9 × (1/100) is 9 hundredths, so the hundredths digit is 9.
   4. 7 × (1/1000) is 7 thousandths, so the thousandths digit is 7.
   5. Put it together: 97.697.

   Answer: 97.697