NC.5.NBT.1 Explain the patterns in the place value system from one million to the thousandths place.
• Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
• Explain patterns in products and quotients when numbers are multiplied by 1,000, 100, 10, 0.1, and 0.01 and/or divided by 10 and 100.
NC.5.NBT.3 Read, write, and compare decimals to thousandths.
• Write decimals using base-ten numerals, number names, and expanded form.
• Compare two decimals to thousandths based on the value of the digits in each place, using >, =, and < symbols to record the results of comparisons.
NC.5.NBT.5 Demonstrate fluency with the multiplication of two whole numbers up to a three-digit number by a two-digit number using the standard algorithm.
NC.5.NBT.6 Find quotients with remainders when dividing whole numbers with up to four-digit dividends and two-digit divisors using rectangular arrays, area models, repeated subtraction, partial quotients, and/or the relationship between multiplication and division. Use models to make connections and develop the algorithm.
NC.5.NBT.7 Compute and solve real-world problems with multi-digit whole numbers and decimal numbers.
• Add and subtract decimals to thousandths using models, drawings or strategies based on place value.
• Multiply decimals with a product to thousandths using models, drawings, or strategies based on place value.
• Divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals should be limited to hundredths.
• Use estimation strategies to assess reasonableness of answers.