key term - Hundredths

Definition

Hundredths refer to the decimal place value that represents fractions of a whole in units of one-hundredth. It is the second decimal place, coming after the ones and tenths places, and is denoted by the number in the hundredths column.

5 Must Know Facts For Your Next Test

1. Hundredths are used to represent very small fractions, such as 0.01 which is one hundredth of a whole.
2. The hundredths place is the second decimal place, coming after the ones and tenths places.
3. Hundredths can be used to express precise measurements, such as 5.67 cm or 3.14 inches.
4. When adding or subtracting numbers with hundredths, the decimal places must be aligned to ensure the hundredths are properly accounted for.
5. Hundredths can be converted to other fractions or percentages, such as 0.25 hundredths being equal to 1/4 or 25%.

Review Questions

• Explain how the hundredths place value relates to the decimal system and fractions.
  • The hundredths place value is part of the decimal system, which represents fractions using powers of 10. Specifically, the hundredths place represents one-hundredth of a whole, or fractions with a denominator of 100. This allows for the precise representation of small quantities, such as measurements or percentages. The hundredths place is the second decimal place, coming after the ones and tenths places, and is used to express values between 0 and 1 in increments of 0.01.
• Describe the importance of aligning decimal places when performing arithmetic operations with numbers containing hundredths.
  • When adding or subtracting numbers with hundredths, it is crucial to align the decimal places to ensure the hundredths are properly accounted for. This is because the hundredths place represents a specific fraction of the whole, and misaligning the decimal places would result in incorrect calculations. For example, when adding 3.45 and 2.67, the decimal places must be aligned so that the hundredths column is properly added, resulting in 6.12. Failing to align the decimal places would lead to an incorrect answer.
• Analyze how the hundredths place value can be used to express and convert between different representations of fractions and percentages.
  • The hundredths place value allows for the precise representation of fractions and percentages. For instance, 0.25 hundredths can be expressed as the fraction 1/4, or as the percentage 25%. This flexibility in representation is valuable in various contexts, such as measurements, financial calculations, and data analysis. By understanding the relationship between hundredths, fractions, and percentages, one can easily convert between these different forms of expression, which is a crucial skill for problem-solving and decision-making in many real-world scenarios.

Related terms

Decimal:

A decimal is a number that represents a fraction, with the denominator being a power of 10, such as 1/10, 1/100, 1/1000, etc.

Place Value:

Place value is the value of a digit in a number based on its position, such as ones, tens, hundreds, and so on, as well as decimal places like tenths, hundredths, and thousandths.

Fraction:

A fraction is a part of a whole, represented by a numerator and a denominator, where the numerator indicates the number of parts and the denominator indicates the total number of equal parts the whole is divided into.