Decimal Operations Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Add 12.74+5.6+0.0812.74 + 5.6 + 0.08.

Solution

  1. 1
    Write each number so decimal points are aligned, padding with zeros as needed: 12.7412.74, 5.605.60, 0.080.08.
  2. 2
    Add column by column from right: hundredths 4+0+8=124+0+8=12, write 22 carry 11; tenths 7+6+0+1=147+6+0+1=14, write 44 carry 11; ones 2+5+0+1=82+5+0+1=8; tens 11.
  3. 3
    Result: 18.4218.42.

Answer

18.4218.42
Aligning decimal points ensures digits with the same place value are added together. Padding shorter decimals with trailing zeros (e.g., writing 5.6 as 5.60) prevents column-alignment errors.

About Decimal Operations

Decimal operations — addition, subtraction, multiplication, and division — follow the same rules as whole-number arithmetic but require careful attention to decimal point placement and alignment.

Learn more about Decimal Operations →

More Decimal Operations Examples

Example 2 medium

Multiply [formula] and explain how to place the decimal point.

Example 3 easy

Subtract [formula].

Example 4 hard

A 3-metre length of rope is cut into pieces, each [formula] m long. How many complete pieces can be

Example 5 medium

Calculate [formula].

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