# Number and Operation in Base Ten

## Narrative for the (NBT) Number and Operation in Base Ten

In Grade 5, students extend their understanding of the base-ten system to the relationship between adjacent places, how numbers compare, and how numbers round for decimals to thousandths. New at Grade 5 is the use of whole number exponents to denote powers of 10. Students understand why multiplying by a power of 10 shifts the digits of a whole number or decimal that many places to the left. For example, multiplying by 104 is multiplying by 10 four times.

Students students fluently compute products of whole numbers using the standard algorithm for multiplication. In division, they reason about dividing whole numbers with two-digit divisors, and reason about adding, subtracting, multiplying, and dividing decimals to hundredths. Division strategies in Grade 5 involve breaking the dividend apart into like base-ten units and applying the distributive property to find the quotient place by place, starting from the highest place.

Place value understandings and general methods for computing are used to add, subtract, multiply, and divide decimals to hundredths. Students use concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction to solve decimal problems. They also relate the strategy to a written method and explain the reasoning used.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.