Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand decimal quantities.

4.N.3.1Represent and rename equivalent fractions using fraction models (e.g., parts of a set, area models, fraction strips, number lines).4.N.3.2Use benchmark fractions (0, 1/4, 1/3, 1/2, 2/3, 3/4, 1) to locate additional fractions with denominators up to twelfths on a number line.4.N.3.3Use models to order and compare whole numbers and fractions less than and greater than one, using comparative language and symbols.4.N.3.4Decompose a fraction into a sum of fractions with the same denominator in more than one way, using concrete and pictorial models and recording results with numerical representations (e.g., 3/4 = 1/4+1/4+1/4 and 3/4 = 2/4+1/4).4.N.3.5Use models to add and subtract fractions with like denominators.4.N.3.6Represent tenths and hundredths with concrete and pictorial models, making connections between fractions and decimals.4.N.3.7Read and write decimals in standard, word, and expanded form up to at least the hundredths place in a variety of contexts, including money.4.N.3.8Compare and order decimals and whole numbers using place value and various models including but not limited to grids, number lines, and base 10 blocks.4.N.3.9Compare and order benchmark fractions (0, 1/4, 1/3, 2/3, 3/4, 1) and decimals (0, 0.25, 0.50, 0.75, 1.00) in a variety of representations.
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