4.NOS.B: Use place value understanding and properities of operations to perform multi-digit arithmetic.

Use place value understanding and properities of operations to perform multi-digit arithmetic.

4.NOS.B.3Fluently add and subtract multi-digit whole numbers within 1,000,000. a. Apply estimation strategies to estimate sums and differences. b. Use computational strategies (e.g., decomposition, partials sums) efficiently. c. Use a standard algorithm d. Determine and explain when a strategy or algorithm is most efficient.4.NOS.B.4Extend place value understanding and basic facts to multiply a multi-digit whole number by a multiple of ten.4.NOS.B.5Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers. a. Apply estimation strategies to estimate products. b. Use strategies based on place value (e.g., partial products) to multiply. c. Use properties of operations (e.g., use doubling and halving strategy to think of 12 × 32 as 6 × 64) to multiply. d. Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of multiplication.4.NOS.B.6Divide whole numbers with up to four-digit dividends and one-digit divisors with and without remainders. a. Apply estimation strategies to estimate quotients. b. Use strategies based on place value (e.g., partial quotients) to divide. c. Use properties of operations and/or the inverse relationship between multiplication and division to divide. d. Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of division.

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