In this Grade 4 lesson from Pengi Math Chapter 8, students connect fractions and decimals by relating coin values to fractions of a dollar and converting cents to decimal and mixed number form. They practice adding and subtracting money with regrouping, use tape diagrams to solve multi-step word problems, and express metric measurements such as meters, centimeters, kilograms, and grams as decimals.
Section 1
Expressing Coin Values as Fractions of a Dollar
The value of a coin can be expressed as a fraction of a dollar by using its value in cents as the numerator and 100 as the denominator.
Section 2
Writing Money Values as Decimals
Money values can be written as decimals. Since 100 cents make up 1 dollar, any number of cents is that hundredth of a dollar.
To write a money amount in decimal form, we use a decimal point to separate the dollars from the cents. The numbers to the right of the decimal point represent the cents, which are parts of a whole dollar. Since there are 100 cents in a dollar, we always use two decimal places for cents. For example, 50 cents is half of a dollar, written as .
Section 3
Representing Measurements as Decimals
Measurements combining large and small units can be written as a single decimal number. The larger unit represents the whole number, and the smaller units are represented as a fraction of the larger unit, which forms the decimal part.
Expand to review the lesson summary and core properties.
Section 1
Expressing Coin Values as Fractions of a Dollar
The value of a coin can be expressed as a fraction of a dollar by using its value in cents as the numerator and 100 as the denominator.
Section 2
Writing Money Values as Decimals
Money values can be written as decimals. Since 100 cents make up 1 dollar, any number of cents is that hundredth of a dollar.
To write a money amount in decimal form, we use a decimal point to separate the dollars from the cents. The numbers to the right of the decimal point represent the cents, which are parts of a whole dollar. Since there are 100 cents in a dollar, we always use two decimal places for cents. For example, 50 cents is half of a dollar, written as .
Section 3
Representing Measurements as Decimals
Measurements combining large and small units can be written as a single decimal number. The larger unit represents the whole number, and the smaller units are represented as a fraction of the larger unit, which forms the decimal part.