Section 1
📘 Naming Mixed Numbers and Money
New Concept
A mixed number is a whole number combined with a fraction.
What’s next
Next, you'll practice writing mixed numbers in words and digits and apply this skill to represent amounts of money.
In this Grade 4 Saxon Math lesson (Intermediate 4, Chapter 4), students learn to identify and write mixed numbers by combining whole numbers with fractions, and to express money amounts using both cent signs and dollar signs with decimal points. The lesson covers reading and writing mixed numbers in words, converting between cent notation and dollar-decimal notation, and understanding why formats like 0.25¢ are mathematically incorrect. Students also practice writing the dollars line on a check by expressing cents as a fraction with a denominator of 100.
Section 1
📘 Naming Mixed Numbers and Money
A mixed number is a whole number combined with a fraction.
Next, you'll practice writing mixed numbers in words and digits and apply this skill to represent amounts of money.
Section 2
Mixed number
A mixed number is a whole number combined with a fraction.
To show two full circles and one-fourth of another, you write the mixed number .
To write the mixed number using words, you say 'three and one half'.
To write the mixed number using words, you say 'four and two thirds'.
Think of it as having whole pizzas and a few extra slices left over. A mixed number lets you talk about the whole pizzas and the leftover slices together in one neat package. It's the best of both worlds: whole numbers and fractions, united at last! We always use the word 'and' to connect the parts.
Section 3
Using a dollar sign
We put the dollar sign in front of the money amount, and we use a decimal point and two places to the right of the decimal point to show the number of cents.
Fifteen dollars and twenty-five cents is written as .
An amount like is the same as dollars.
An amount less than a whole dollar, like forty cents, is written as dollars to show zero dollars and forty cents.
The dollar sign is like a VIP pass for money; it always goes first! The number to the left of the decimal point represents whole dollars, and the two digits to the right represent cents. This system keeps everything organized, showing you exactly how much cash you have, down to the last penny, in a single, clean format.
Section 4
Writing checks with fractions
We write the number of dollars in words, write 'and,' and then the cents as a fraction. Since 100 cents equals a dollar, the denominator is 100.
To write dollars on a check, you write 'thirty-seven and dollars'.
To write dollars on a check, you write 'twelve and dollars'.
To write dollars on a check, you write 'fifty and dollars'.
When you write a check, you get to be a bit fancy. Instead of using a decimal point, you express the cents as a fraction out of 100. It's a formal way of telling the bank, 'Here are the whole dollars, and here is a precise portion of the next dollar.' This method is traditional for legal and financial documents.
Section 5
Math Symbols
We do not use a decimal point with a cent sign. The notation is incorrect because it does not represent fifty cents. Instead, it represents 50 hundredths (or ) of one cent.
The notation is incorrect for a quarter; it means one-quarter of a single cent.
To correctly write fifty cents, use either or dollars, but never mix the two notations.
The value of a dime is properly written as or dollars, not .
Watch out for this classic money trap! The cent sign and the decimal point are rivals and should never appear in the same money amount. Using both, as in , doesn't mean fifty cents; it means you've taken a single penny and chopped it into tiny pieces. To avoid confusion, always stick to one or the other.
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Section 1
📘 Naming Mixed Numbers and Money
A mixed number is a whole number combined with a fraction.
Next, you'll practice writing mixed numbers in words and digits and apply this skill to represent amounts of money.
Section 2
Mixed number
A mixed number is a whole number combined with a fraction.
To show two full circles and one-fourth of another, you write the mixed number .
To write the mixed number using words, you say 'three and one half'.
To write the mixed number using words, you say 'four and two thirds'.
Think of it as having whole pizzas and a few extra slices left over. A mixed number lets you talk about the whole pizzas and the leftover slices together in one neat package. It's the best of both worlds: whole numbers and fractions, united at last! We always use the word 'and' to connect the parts.
Section 3
Using a dollar sign
We put the dollar sign in front of the money amount, and we use a decimal point and two places to the right of the decimal point to show the number of cents.
Fifteen dollars and twenty-five cents is written as .
An amount like is the same as dollars.
An amount less than a whole dollar, like forty cents, is written as dollars to show zero dollars and forty cents.
The dollar sign is like a VIP pass for money; it always goes first! The number to the left of the decimal point represents whole dollars, and the two digits to the right represent cents. This system keeps everything organized, showing you exactly how much cash you have, down to the last penny, in a single, clean format.
Section 4
Writing checks with fractions
We write the number of dollars in words, write 'and,' and then the cents as a fraction. Since 100 cents equals a dollar, the denominator is 100.
To write dollars on a check, you write 'thirty-seven and dollars'.
To write dollars on a check, you write 'twelve and dollars'.
To write dollars on a check, you write 'fifty and dollars'.
When you write a check, you get to be a bit fancy. Instead of using a decimal point, you express the cents as a fraction out of 100. It's a formal way of telling the bank, 'Here are the whole dollars, and here is a precise portion of the next dollar.' This method is traditional for legal and financial documents.
Section 5
Math Symbols
We do not use a decimal point with a cent sign. The notation is incorrect because it does not represent fifty cents. Instead, it represents 50 hundredths (or ) of one cent.
The notation is incorrect for a quarter; it means one-quarter of a single cent.
To correctly write fifty cents, use either or dollars, but never mix the two notations.
The value of a dime is properly written as or dollars, not .
Watch out for this classic money trap! The cent sign and the decimal point are rivals and should never appear in the same money amount. Using both, as in , doesn't mean fifty cents; it means you've taken a single penny and chopped it into tiny pieces. To avoid confusion, always stick to one or the other.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter