Ordering Fractions and Decimals

Front

What is the process of ordering fractions and decimals from least to greatest?

Back

To order fractions and decimals from least to greatest, convert all numbers to a common format (either all fractions or all decimals), then compare their values to arrange them in ascending order.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 1/4 = 1 ÷ 4 = 0.25.

Front

What is the decimal equivalent of 3/4?

Back

The decimal equivalent of 3/4 is 0.75.

Front

How do you compare two decimals?

Back

To compare two decimals, align them by the decimal point and compare digit by digit from left to right. The first digit that differs determines which decimal is greater.

Front

What is the value of 9/12 in decimal form?

Back

The value of 9/12 in decimal form is 0.75.

Front

What is the least common denominator (LCD) and why is it important in ordering fractions?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is important in ordering fractions because it allows for easy comparison by converting fractions to equivalent forms with a common denominator.

Front

How can you order the decimals 0.41, 0.5, and 3/5 from least to greatest?

Back

Convert 3/5 to decimal (3 ÷ 5 = 0.6). Then compare: 0.41 < 0.5 < 0.6. So, the order is 0.41, 0.5, 3/5.

Front

What is the significance of understanding how to order numbers?

Back

Understanding how to order numbers is crucial for solving real-world problems, making comparisons, and interpreting data accurately.

Front

What is the first step in ordering a set of mixed fractions and decimals?

Back

The first step is to convert all fractions to decimals or all decimals to fractions to ensure they are in the same format for comparison.

Front

How do you convert 0.69 to a fraction?

Back

To convert 0.69 to a fraction, recognize it as 69/100, which is already in simplest form.