Comparing Decimals with Models

Front

What is a decimal?

Back

A decimal is a fraction expressed in a special form, where the denominator is a power of ten. It is used to represent numbers that are not whole, such as 0.5 or 3.14.

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 or lesser.

Front

What does the symbol '>' mean in decimal comparison?

Back

'>' means that the number on the left is greater than the number on the right.

Front

What does the symbol '<' mean in decimal comparison?

Back

'<'' means that the number on the left is less than the number on the right.

Front

What is the value of 0.75 compared to 0.5?

Back

0.75 is greater than 0.5, so we write 0.75 > 0.5.

Front

What is the value of 0.3 compared to 0.4?

Back

0.3 is less than 0.4, so we write 0.3 < 0.4.

Front

How can models help in comparing decimals?

Back

Models, such as number lines or base ten blocks, can visually represent decimals, making it easier to see which is greater or lesser.

Front

What is a number line?

Back

A number line is a straight line with numbers placed at equal intervals along its length, used to represent and compare numbers, including decimals.

Front

What is the importance of place value in decimals?

Back

Place value determines the value of a digit in a decimal number based on its position. For example, in 0.75, the '7' is in the tenths place and the '5' is in the hundredths place.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.