Section 1
📘 Tenths and Hundredths
New Concept
We may write one hundredth as a fraction () or as a decimal number ().
What’s next
Next, you’ll use money and shaded grids to visualize, compare, and order these new decimal values.
In this Grade 4 Saxon Math Intermediate 4 investigation, students learn to read, write, and represent decimal numbers using tenths and hundredths place values. Using money manipulatives such as dimes and pennies, as well as shaded unit squares divided into 10 and 100 equal parts, students connect fractions like 1/10 and 1/100 to their decimal equivalents. The lesson also covers comparing and ordering decimals and writing amounts such as 4.23 in standard decimal notation.
Section 1
📘 Tenths and Hundredths
We may write one hundredth as a fraction () or as a decimal number ().
Next, you’ll use money and shaded grids to visualize, compare, and order these new decimal values.
Section 2
Base-ten system
Our number system is built on the power of ten. Each place value is ten times greater than the place to its right and one-tenth the value of the place to its left. This rule does not stop at the ones place; it extends right past the decimal point to create fractional places like tenths and hundredths.
In the number 440, the leftmost '4' means 400, which is ten times the value of the '4' next to it, which means 40. A dime (0.10 dollars) is one-tenth the value of a one-dollar bill. The hundredths place (0.01) is one-tenth the value of the tenths place (0.1).
Imagine place values as a power ladder. Climbing left multiplies your value by 10 for each step (1, 10, 100). Sliding down to the right divides your value by 10 (1, 0.1, 0.01). The decimal point is just ground zero!
Section 3
Decimal places
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 . The second spot is the hundredths place, for even smaller parts like pennies or . These places let us write numbers that are less than one whole.
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 .
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.
Section 4
Hundredths
The hundredths place is the second spot to the right of the decimal point, representing one part out of one hundred equal pieces, or . In our money system, this is the penny's job, as it takes 100 pennies to make one dollar. This tiny place value allows us to be super precise with our numbers.
The decimal 0.01 is the same as the fraction . In the amount 345.23 dollars, the '3' represents 3 hundredths, or 3 pennies. A 10-by-10 grid with 12 squares shaded shows the decimal 0.12, or twelve hundredths.
The hundredths place is for the tiny details! It is one-tenth of a tenth. Think of a dollar: a dime is a tenth, but a penny is a hundredth. You need 100 of them to make a whole, so they represent the smallest pieces.
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Section 1
📘 Tenths and Hundredths
We may write one hundredth as a fraction () or as a decimal number ().
Next, you’ll use money and shaded grids to visualize, compare, and order these new decimal values.
Section 2
Base-ten system
Our number system is built on the power of ten. Each place value is ten times greater than the place to its right and one-tenth the value of the place to its left. This rule does not stop at the ones place; it extends right past the decimal point to create fractional places like tenths and hundredths.
In the number 440, the leftmost '4' means 400, which is ten times the value of the '4' next to it, which means 40. A dime (0.10 dollars) is one-tenth the value of a one-dollar bill. The hundredths place (0.01) is one-tenth the value of the tenths place (0.1).
Imagine place values as a power ladder. Climbing left multiplies your value by 10 for each step (1, 10, 100). Sliding down to the right divides your value by 10 (1, 0.1, 0.01). The decimal point is just ground zero!
Section 3
Decimal places
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 . The second spot is the hundredths place, for even smaller parts like pennies or . These places let us write numbers that are less than one whole.
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 .
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.
Section 4
Hundredths
The hundredths place is the second spot to the right of the decimal point, representing one part out of one hundred equal pieces, or . In our money system, this is the penny's job, as it takes 100 pennies to make one dollar. This tiny place value allows us to be super precise with our numbers.
The decimal 0.01 is the same as the fraction . In the amount 345.23 dollars, the '3' represents 3 hundredths, or 3 pennies. A 10-by-10 grid with 12 squares shaded shows the decimal 0.12, or twelve hundredths.
The hundredths place is for the tiny details! It is one-tenth of a tenth. Think of a dollar: a dime is a tenth, but a penny is a hundredth. You need 100 of them to make a whole, so they represent the smallest pieces.
Book overview
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Continue this chapter