Understand decimal notation for fractions, and compare decimal fractions.

4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and
use this technique to add two fractions with respective denominators 10 and 100. For
example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. (Students who can
generate equivalent fractions can develop strategies for adding fractions with unlike
denominators in general. But addition and subtraction with unlike denominators in general is
not a requirement at this grade.)

4.NF.6 Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as
62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that
comparisons are valid only when the two decimals refer to the same whole. Record the
results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a
visual model.

Solve problems involving measurement and conversion of measurements from a larger unit
to a smaller unit. 1

4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid
volumes, masses of objects, and money, including problems involving simple fractions or
decimals, and problems that require expressing measurements given in a larger unit in terms
of a smaller unit. Represent measurement quantities using diagrams such as number line
diagrams that feature a measurement scale.

Use the four operations with whole numbers to solve problems.

4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement
that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of
multiplicative comparisons as multiplication equations.

4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using
drawings and equations with a symbol for the unknown number to represent the problem,
distinguishing multiplicative comparison from additive comparison. (See CCSS-M Glossary,
Table 2.)

4.OA.3 Solve multi-step word problems posed with whole numbers and having whole-number
answers using the four operations, including problems in which remainders must be
interpreted. Represent these problems using equations with a letter standing for the
unknown quantity. Assess the reasonableness of answers using mental computation and
estimation strategies including rounding.
Solve problems involving measurement and conversion of measurements from a larger unit
to a smaller unit.
1

4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg,
g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements
in a larger unit in terms of a smaller unit. 

Record measurement equivalents in a two-column
table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft
snake as 48 in. Generate a conversion table for feet and inches listing the number pairs
(1, 12), (2, 24), (3, 36), …

4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid
volumes, masses of objects, and money, including problems involving simple fractions or
decimals, and problems that require expressing measurements given in a larger unit in terms
of a smaller unit. Represent measurement quantities using diagrams such as number line
diagrams that feature a measurement scale.