# Six ways of writing decimals

Number forms of decimals are the different ways of writing decimals. See below the six different ways of writing the same decimal number.

The following table shows the number forms for the decimal number 36.2418. The figure above do not have a short word form for 48.25. However, we do have a short word form for the number 36.2418

 Number Forms Example Standard form 36.2418 Word form or written form thirty-six and two thousand four hundred eighteen ten-thousandths Short word form 36 and 2418 ten-thousandths Expanded form (3 × 10) + (6 × 1) + (2 × 0.1) + (4 × 0.01) + (1 × 0.001) + (8 × 0.0001) Exponential form (3 × 101) + (6 × 100) + (2 × 10-1) + (4 × 10-2) + (1 × 10-3) + (8 ×10-4) Scientific form 3.62418 × 101

The short word form is used for numbers greater than one thousand.

## More examples showing the six ways of writing decimals

Example #1

Show the six different ways of writing 74.5961

Solution

Standard form: 74.5961

Word form: Seventy-four and five thousand nine hundred sixty-one ten-thousandths

Short word form: 74 and 5961 ten-thousandths

Expanded form: (7 × 10) + (4 × 1) + (5 × 0.1) + (9 × 0.01) + (6 × 0.001) + (1 × 0.0001)

Exponential form: (7 × 101) + (4 × 100) + (5 × 10-1) + (9 × 10-2) + (6 × 10-3) + (1 × 10-4)

Scientific form: 7.45961× 101

Example #2

Show the six different ways of writing 681.96743

Solution

Standard form: 681.96743

Word form: Six hundred eighty-one and ninety-six thousand seven hundred forty-three hundred-thousandths

Short word form: 681 and 96743 hundred-thousandths

Expanded form: (6 × 100) + (8 × 10) + (1 × 1) + (9 × 0.1) + (6 × 0.01) + (7 × 0.001) + (4 × 0.0001) + (3 × 0.00001)

Exponential form: (6 × 102) + (8 × 101) + (1 × 100) + (9 × 10-1) + (6 × 10-2) + (7 × 10-3) + (4 × 10-4) + (3 × 0.10-5)

Scientific form: 6.8196743 × 102

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