# Lesson 23

Divide Whole Numbers by Decimals

### Lesson Purpose

The purpose of this lesson is for students to divide a whole number by a decimal less than 1 by reasoning about the number of groups of one tenth or one hundredth in one whole.

### Lesson Narrative

In the previous lesson, students divided whole numbers by one tenth and one hundredth and made generalizations about how to divide any whole number by those units. The purpose of this lesson is for students to extend that work to divide whole numbers by any number of tenths or hundredths (with total value less than 1). Consistent divisors are used in repetition to highlight relationships between the dividends and the quotients (MP8). Students evaluate expressions with larger divisors such as $$12 \div 0.2$$ in order to encourage them to use the relationship between multiplication and division. Rather than drawing 12 unit squares and dividing all of them into groups of 2 tenths, students may draw a single whole divided into 2 tenths and then use multiplication.

• Action and Expression

### Learning Goals

Teacher Facing

• Divide whole numbers by decimals to the hundredths using strategies based on place value.

### Student Facing

• Let’s divide whole numbers by decimals.

### Required Materials

Materials to Copy

• Small Grids

### Lesson Timeline

 Warm-up 10 min Activity 1 15 min Activity 2 20 min Lesson Synthesis 10 min Cool-down 5 min

### Teacher Reflection Questions

What aspects of today’s lesson allowed each of your students to see themselves as productive mathematical reasoners?

### Suggested Centers

• Compare (1–5), Stage 4: Divide within 100 (Supporting)
• Compare (1–5), Stage 6: Add and Subtract Fractions (Supporting)

### Print Formatted Materials

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