Uvero — STEM Learning

Fraction–Decimal Connections

Tenths and hundredths translate directly between fraction and decimal notation. $37/100=0.37$ because the 3 is tenths and 7 is hundredths. A careful solution names the quantities, keeps place value or units visible, and explains why each operation fits.

Worked reasoning

The denominator 100 means hundredths.
$64/100=0.64$ .

Write $64/100$ as a decimal.

Which statement best captures the central mathematical idea in Fraction–Decimal Connections?

$37/100=0.37$ because the 3 is tenths and 7 is hundredths.

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

A memorised formula is valid even when its conditions are not met.

The diagram or notation replaces the need to justify each mathematical step.

When starting a problem about Fraction–Decimal Connections, which move is most reliable?

Represent the given information clearly and identify the operation or relationship required for fraction–decimal connections.

Round every value before identifying the mathematical structure.

Choose the longest available formula and substitute immediately.

Assume the desired conclusion and work backwards without checking equivalence.

Which statement is a misconception that must be rejected when working with Fraction–Decimal Connections?

A familiar-looking calculation may be used without checking place value, units, conditions or what the answer represents.

$37/100=0.37$ because the 3 is tenths and 7 is hundredths.

Represent the given information clearly and identify the operation or relationship required for fraction–decimal connections.

Estimate first, then reverse the operation or use a second representation to check that the answer is reasonable.