Learn on PengiEureka Math, Grade 5Chapter 10: Measurement Word Problems with Whole Number and Decimal Multiplication

Lesson 1: Use whole number multiplication to express equivalent measurements.

In this Grade 5 Eureka Math lesson from Chapter 10, students learn to use whole number multiplication and conversion factors to express equivalent measurements across different units. The lesson covers unit conversions such as weeks to days, hours to minutes, and meters to centimeters by multiplying a given quantity by the appropriate conversion factor in parentheses. Students also practice multiplying by powers of 10 and using the area model to build fluency with decimal multiplication in measurement contexts.

Section 1

Unit Size vs. Number of Units

Property

For a fixed quantity, as the size of the measurement unit decreases, the number of units required to measure that quantity increases. The total value of the measurement remains constant.

Examples

Section 2

Expressing a Measurement for Conversion

Property

To set up a measurement conversion, first express the quantity as a product of its number and a single unit. Then, substitute the single unit with its equivalent conversion factor.

N units=N×(1 unit)=N×(conversion factor)N \text{ units} = N \times (1 \text{ unit}) = N \times (\text{conversion factor})

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Unit Size vs. Number of Units

Property

For a fixed quantity, as the size of the measurement unit decreases, the number of units required to measure that quantity increases. The total value of the measurement remains constant.

Examples

Section 2

Expressing a Measurement for Conversion

Property

To set up a measurement conversion, first express the quantity as a product of its number and a single unit. Then, substitute the single unit with its equivalent conversion factor.

N units=N×(1 unit)=N×(conversion factor)N \text{ units} = N \times (1 \text{ unit}) = N \times (\text{conversion factor})

Examples