Decimal places
Decimal places in Grade 4 math introduces students to the positions immediately to the right of the decimal point: tenths (1/10) and hundredths (1/100). A number like 5.23 has 5 ones, 2 tenths, and 3 hundredths. Understanding decimal places is directly analogous to money—dimes represent tenths of a dollar and pennies represent hundredths. Covered in Saxon Math Intermediate 4, Chapter 4, this skill is the entry point into decimal computation and measurement precision that students extend through Grades 5 and beyond.
Key Concepts
Property To the right of the ones place is the decimal point, the gateway to fractions. The first spot is the tenths place, representing parts like dimes or $\frac{1}{10}$. The second spot is the hundredths place, for even smaller parts like pennies or $\frac{1}{100}$. These places let us write numbers that are less than one whole.
Example The number 5.23 represents 5 whole units, 2 tenths, and 3 hundredths. In money, 4.02 dollars represents 4 whole dollars, zero dimes (tenths), and 2 pennies (hundredths). A number like 0.7 has a 7 in the tenths place, meaning seven tenths or $\frac{7}{10}$.
Explanation Think of decimal places as reserved parking for fractions. The first spot after the decimal point is for tenths, and the second is for hundredths. It is how we precisely write amounts like parts of a dollar or pieces of a pizza.
Common Questions
What are decimal places in math?
Decimal places are the positions to the right of the decimal point. The first position is the tenths place (1/10), the second is the hundredths place (1/100), and the third is the thousandths place (1/1000).
What is the tenths place in a decimal?
The tenths place is the first position after the decimal point. In 0.7, the digit 7 is in the tenths place, meaning seven-tenths or 7/10.
What is the hundredths place in a decimal?
The hundredths place is the second position after the decimal point. In 0.25, the digit 5 is in the hundredths place, meaning five-hundredths or 5/100.
When do students learn decimal places?
Students are introduced to tenths and hundredths as decimal places in Grade 4. Saxon Math Intermediate 4 covers decimal places in Chapter 4, Lessons 31-40, connecting them to fractions and money.
How do decimal places connect to money?
In dollar amounts, the tenths place represents dimes (10 cents = $0.10) and the hundredths place represents pennies (1 cent = $0.01). Students who understand money intuitively understand tenths and hundredths.
How do you read a decimal number?
Say the whole number part first. Then say 'and' for the decimal point. Then say the decimal digits as a whole number followed by the place name of the last digit. For example, 3.47 is 'three and forty-seven hundredths.'
How do decimal places connect to the metric system?
Metric measurements often use decimals. A length of 2.5 cm means 2 centimeters and 5 millimeters. Understanding that 0.5 cm = 5/10 cm connects decimal place value directly to metric precision.