Math Assignment Help With Arithmetic of Decimals

Arithmetic of decimals is same as of the whole numbers and includes the same arithmetical operations. That is Addition, Subtraction, Multiplication and Division.

2.3.1 Addition of decimals

Addition of Decimals is similar to that of whole numbers. Point to remember is, to line up the decimal numbers with their decimal point in same vertical line. It will be clearer with this example.

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Example: add 1.342 and 2.765

1.342 + 2.765 = 4.107

Points to Remember

  • Line up the numbers one under the other in a vertical line.
  • Decimal points should come under the same vertical line.
  • Add zeros after the decimal point so the numbers have the same length.

Example: add 2.321 and 1.2

2.321 + 1.200 = 3.521

2.3.2 Subtraction of decimals

Subtraction is also simple. The procedure is same as of addition.

Points to Remember

  • Line up the numbers one under the other in a vertical line.
  • Decimal points should come under the same vertical line.
  • Add zeros after the decimal point so the numbers have the same length.

Example: Subtract 1.342 and 2.765

2.765 - 1.342 = 1.423

Example Subtract 2.321 and 1.2

2.321 - 1.200 = 1.121

2.3.3 Multiplication of decimals

Multiplication is done just as is done in whole numbers.

Steps for multiplication:

  • Multiply just as you do in whole numbers
  • Line up the numbers with decimal point.

3.21 x 2.10 = 6.741

  • Apply the normal multiplication method. Do not consider the decimal points while multiplication

3.21 x 2.10 = 6 741

  • Write the product.
  • Count the digits after the decimal point of the two numbers,

There are three digits after decimal point (two digits in first number and one digit in the second so 2+1=3 digits in total), so place the decimal point after three digits starting from right to left.

Therefore the answer is 6.741

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