Skill: Solve decimal measurement problems

Explanation and Free Practice Resources

Decimal measurement problems involve interpreting tenths and hundredths as parts of a unit, representing measured lengths, masses, capacities, or amounts on diagrams or number lines, and determining unknown quantities through comparison, addition, or subtraction. Quantities must be expressed in compatible units, with place values aligned and answers labeled with the appropriate unit; estimates help detect misplaced decimal points or incorrect scale. This scope excludes multiplying or dividing decimals and complex unit conversions.

Detailed Explanation: Solve decimal measurement problems

A decimal measurement tells how much of a unit you have. The first digit after the decimal shows tenths, and the second shows hundredths.

When solving a measurement problem:

  1. Make sure both measurements use the same unit.
  2. Line up the decimal points.
  3. Add or subtract by place value.
  4. Label the answer with the correct unit.
  5. Estimate to check that the answer makes sense.

Example: A ribbon is 2.75 m2.75\text{ m} long. Mia uses 1.4 m1.4\text{ m}. How much ribbon is left?

Both measurements are in meters. Write 1.41.4 as 1.401.40 so the place values line up:

2.75−1.401.35\begin{array}{r} 2.75\\ - 1.40\\ \hline 1.35 \end{array}

Subtract by place value:

  • 55 hundredths minus 00 hundredths is 55 hundredths.
  • 77 tenths minus 44 tenths is 33 tenths.
  • 22 ones minus 11 one is 11 one.

So, the amount of ribbon left is

1.35 m\boxed{1.35\text{ m}}

An estimate is 2.8−1.4≈1.42.8-1.4\approx1.4, so 1.35 m1.35\text{ m} is a reasonable answer.

Learn by doing: Solve decimal measurement problems

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Decimal Concept Comparison - Picture Tenths vs Decimal Number Hundredths


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