# Lesson 15

The Nearest Multiples of 1,000, 10,000, and 100,000

### Lesson Purpose

### Lesson Narrative

Before this lesson, students named multiples of 10,000 and 100,000 that are near given numbers and identified the closest ones. They reasoned visually—by locating the numbers on a number line and approximating their distance from adjacent tick marks that indicate ten-thousands, or from endpoints that mark hundred-thousands.

In this lesson, students begin to reason numerically—by thinking about the value of the digits in a number to determine its nearest multiple of 1,000, 10,000, and 100,000. They see, for example, that 4,345 is greater than 4,000 but less than 5,000. To determine the multiple of 1,000 that is the nearest to 4,345, they can consider its relationship to 4,500, which is exactly in the middle of 4,000 and 5,000. If it is less than 4,500, it is closer to 4,000. If it is greater than 4,500, then it is closer to 5,000. The number lines play a supporting role here and can be used as needed.

- Representation

- MLR8

### Learning Goals

Teacher Facing

- Identify the nearest multiple of 1,000, 10,000, and 100,000 given a multi-digit whole number.

### Student Facing

- Let’s find multiples of 1 thousand, 10 thousand, and 100 thousand that are the nearest to a number.

### Required Preparation

### Lesson Timeline

Warm-up | 10 min |

Activity 1 | 20 min |

Activity 2 | 10 min |

Activity 3 | 15 min |

Lesson Synthesis | 10 min |

Cool-down | 5 min |

### Teacher Reflection Questions

### Suggested Centers

- Greatest of Them All (1–5), Stage 3: Multi-digit Numbers (Addressing)
- Tic Tac Round (3–5), Stage 1: Nearest Ten or Hundred (Supporting)