5th Grade - CCSS - Common Core State Standards
CCSS:
5.NBT.1 Understand the place value system. Recognize that in a multi-digit number, a digit in the ones 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.
5.NBT.2 Understand the place value system. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
5.NBT.3 Understand the place value system. Read, write, and compare decimals to thousandths.
5.NBT.3a Read and write decimals to the thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 +4 x 10 + 7 x 1 +3 x (1/10) + 9 x (1/100) + 2 x (1/1000).
5.NBT.3b Compare two decimals to thousandths based on meanings of the digits in each place, using >, <, = symbols to record the results of comparisons.
5.NBT.4 Understand the place value system. Use place value to round decimals to any place.
5.NBT.7 Perform operations with multi-digit whole numbers and with decimals to hundredths. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.