Grade 5Math

Convert Larger Measurement Units to Smaller Units

To convert a larger measurement unit to a smaller one, multiply the number of larger units by the conversion factor (how many smaller units equal one larger unit). For mixed measurements, convert the larger unit portion first, then add the remaining smaller unit amount. This Grade 5 math skill from Eureka Math Chapter 10 covers measurement word problems with whole number and decimal multiplication.

Key Concepts

To convert a larger unit of measurement to a smaller unit, multiply the number of larger units by the conversion factor (the number of smaller units in one larger unit). $$(\text{Number of larger units}) \times (\text{Conversion factor}) = \text{Total smaller units}$$.

Common Questions

How do you convert a larger unit to a smaller unit?

Multiply the number of larger units by the conversion factor, which is the number of smaller units that equal one larger unit. For example, 5 pounds times 16 ounces per pound equals 80 ounces.

How do you convert feet to inches?

Multiply the number of feet by 12, since 1 foot equals 12 inches. For example, 3 feet times 12 equals 36 inches.

How do you convert mixed measurements like 4 pounds 2 ounces to ounces?

First convert the pounds: 4 pounds times 16 equals 64 ounces. Then add the remaining ounces: 64 plus 2 equals 66 ounces total.

Why do you multiply to convert from larger to smaller units?

Because smaller units are smaller, you need more of them to represent the same amount, and multiplying by the conversion factor gives the correct count of the smaller units.