In this Grade 5 Eureka Math lesson, students practice fluently multiplying multi-digit whole numbers using the standard algorithm to solve multi-step word problems involving real-world contexts such as area and cost. The lesson builds skills in estimation by rounding, multiplying and dividing by powers of 10 using exponent notation, and breaking complex problems into sequential steps. Students apply these skills to problems requiring multiple calculations, such as finding the area of a space and multiplying by a unit cost to reach a final answer.
Section 1
Multiplying and Dividing by Powers of 10
To multiply a number by a power of 10 (), move the decimal point to the right by the same number of places as there are zeros in the power of 10. To divide a number by a power of 10, move the decimal point to the left by the same number of places as there are zeros.
Section 2
Using Area in Multi-Step Problems
To solve multi-step problems involving rectangular spaces, first calculate the area using the formula . This area is an intermediate value that is then used in a second operation (such as multiplication or subtraction) to find the final solution.
Expand to review the lesson summary and core properties.
Section 1
Multiplying and Dividing by Powers of 10
To multiply a number by a power of 10 (), move the decimal point to the right by the same number of places as there are zeros in the power of 10. To divide a number by a power of 10, move the decimal point to the left by the same number of places as there are zeros.
Section 2
Using Area in Multi-Step Problems
To solve multi-step problems involving rectangular spaces, first calculate the area using the formula . This area is an intermediate value that is then used in a second operation (such as multiplication or subtraction) to find the final solution.