Writing a Decimal Number Given its Name: Advanced

A decimal number has a whole number part and a decimal part separated by decimal point. For example: 56.09821

It can also be a number having only decimal part. For example: 0.00345

Rules for writing a decimal number given its name

• We write a decimal point for the word 'and' in the number name.

• We write a whole number for the number name before the word 'and'. This is the whole number part of the decimal number.

• We write a whole number for the number name after the word 'and'. This is the decimal part of the decimal number.

• We see to it that the last digit has the place value given by the decimal unit like 'tenths','hundredths' and so on.

Example:

Write the decimal seventy-three and twenty six thousandths.

Solution

• We write a decimal point for 'and' as "."
• We write for seventy-three before 'and' as "73."
• We write for twenty-six after 'and' as "0._26"
• We see to it that the last digit 6 falls in the thousandths place and write twenty six thousandths as "0.026".
• Therefore we write seventy-three and twenty six thousandths as "73.026"

Write the decimal six hundred forty-two and thirteen hundredths.

Solution

Step 1:

We write 'and' as a decimal point "."

Step 2:

We write six hundred forty-two before 'and' as "642."

Step 3:

We write thirteen after 'and' as "0.13"

Step 4:

We see that the last digit 3 is in hundredths place. So thirteen hundredths is "0.13"

Step 5:

Therefore six hundred forty-two and thirteen hundredths is "642.13"

Write the decimal number one hundred twenty-six and nineteen thousandths.

Solution

Step 1:

We write 'and' as a decimal point "."

Step 2:

We write one hundred twenty-six before 'and' as "126."

Step 3:

We write nineteen after 'and' as "0._19"

Step 4:

We see to it that the last digit 9 is in thousandths place. So nineteen thousandths is 0.019.

Step 5:

Therefore one hundred twenty-six and nineteen thousandths is "126.019"

Write the decimal number one thousand one and one hundred four thousandths.

Solution

Step 1:

We write 'and' as a decimal point "."

Step 2:

We write one thousand one before 'and' as "1001."

Step 3:

We write four after 'and' as "0._ _ 4"

Step 4:

We see to it that the last digit 4 is in thousandths place. So four thousandths is 0.004.

Step 5:

Therefore one thousand one and one hundred four thousandths is "1001.004".