Decimal Multiplication Concepts, Models, and Algorithms

Read, write, expand, compare, and analyze the base-ten positional relationships of multi-digit whole numbers up to and beyond one million.

Read, write, expand, compare, and plot decimal values through thousandths using multiple mathematical representations.

Round multi-digit whole numbers to any place and round decimals to the nearest whole, tenth, or hundredth.

Explain patterns in zeros and decimal shifts when multiplying and dividing by powers of 10, and write powers of 10 using integer exponents.

Add and subtract multi-digit whole numbers fluently using standard column algorithms, mental strategies, and estimation.

Multiply multi-digit whole numbers up to four digits by two digits using area models, partial products, mental methods, and the standard algorithm.

Divide multi-digit whole numbers by one- and two-digit divisors using long and short division, and interpret remainders as whole numbers, fractions, or decimals.

Add and subtract decimals to hundredths using models, place value strategies, standard algorithms, and problem solving.

Multiply decimals to hundredths by whole numbers and other decimals using area models, place value patterns, and standard algorithms.

Divide decimals by 1- and 2-digit whole numbers and by decimals using models, place-value shifts, and standard algorithms.

Read, write, convert, and compare Roman numerals up to 3,000 and contrast additive/subtractive systems with base-ten positional numeration.