# Whole Numbers Reasoning Strategies

This section describes the specific reasoning strategies and understandings that relate to whole numbers. Reasoning strategies are organized into two categories—those appropriate and those not appropriate to the numbers at hand in the problem.

Click the symbol next to any strategy or understanding to learn more and view video examples.

### Adding and Subtracting Mentally

Strategies appropriate for the numbers at hand Strategies not appropriate for the numbers at hand

Breaks numbers apart to add or subtract

Uses benchmark numbers to add or subtract

Uses addition to solve subtraction problems

Counts by ones

Uses standard algorithm to add or subtract

### Multiplying and Dividing Mentally

Strategies appropriate for the numbers at hand Strategies not appropriate for the numbers at hand

Uses known facts and place value to multiply or divide

Breaks numbers apart to multiply or divide

Uses benchmark numbers to make estimates

Uses standard algorithm to multiply or divide

Figures exact answer to estimate

### Applying Understanding

Understandings

Models with mathematics to solve problems in context

Uses inverse relationship of addition and subtraction

Uses distributive property