Problem 23 - Prealgebra

Question

Give the place value of the 5 in each of the following numbers. $$275.01$$

Step-by-Step Solution

Answer

The 5 in 275.01 is in the Ones place.

Step 1: Understanding Place Values

Place value refers to the position of a digit in a number. Each position in a number has a different value. For example, in the number 275.01, each digit has a different place value. From left to right, the places are Hundreds, Tens, Ones, Decimal point, Tenths, and Hundredths.

Step 2: Identify the Position of 5

In the number 275.01, identify where the digit 5 is located. Counting from the left, it is the third digit before the decimal point. This means the 5 is in the Ones place.

Step 3: Determine the Value

Since the 5 is in the Ones place, its value is 5 multiplied by 1, which equals 5. The Ones place indicates the number of whole units in a number.

Key Concepts

Ones place

In any given number, the ones place is crucial as it signifies the unit count in a whole number. It is the third position from the left in a number that does not include the decimal point.
For example, in the number 275, the 5 is in the ones place. This means it represents 5 whole units. The ones place is important because it tells you the exact count of singular items or units.

• To identify the ones place in a number, look at the digit immediately before the decimal point.
• If there's no decimal, it is the last digit on the right.

In the example 275.01, the digit 5 in the ones place implies that there are five complete units, making it a distinct and full part of the number.

Decimal point

A decimal point is a dot placed in a number to separate the whole number part from the fractional part. It is a crucial part of understanding place values in decimals.
Here's why the decimal point is important:

• It distinguishes between whole and fractional values in the number, allowing us to express values less than one.
• To the left of the decimal point are whole numbers, while to the right are fractions or decimal numbers.

In the number 275.01, the decimal point separates the 5 (whole number) from the 0 and 1, which represent tenths and hundredths, respectively. This helps in reading, interpreting, and writing precise values without confusion, as it signifies where the fractions begin.

Hundreds place

The hundreds place is the third position from the right in a whole number and indicates how many sets of 100 are in a number. It is essential for understanding larger numbers and building complex value systems.
In the example 275.01, the digit 2 is in the hundreds place, meaning it stands for 2 sets of 100, or 200.
Key points to remember:

• The hundreds place helps in determining the magnitude of a number, particularly in whole numbers larger than 100.
• It is a foundational concept for both basic arithmetic and more advanced mathematical operations.

Identifying the hundreds place is critical for performing accurate calculations and for understanding the overall value of a number in real-life contexts.