Comparing Decimals

Front

What is a decimal?

Back

A decimal is a fraction expressed in a special form, where the denominator is a power of ten, typically represented with a decimal point.

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.

Front

What does it mean if one decimal is greater than another?

Back

If one decimal is greater than another, it means that its value is larger when compared on a number line.

Front

What does it mean if two decimals are equal?

Back

Two decimals are equal if they represent the same value, regardless of the number of digits after the decimal point.

Front

What is the significance of trailing zeros in decimals?

Back

Trailing zeros in decimals do not affect the value of the number; for example, 0.500 and 0.5 are equal.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the value of 0.400 compared to 0.40?

Back

0.400 is equal to 0.40; both represent the same value.

Front

How do you determine which decimal is larger: 0.89 or 0.9?

Back

0.89 is less than 0.9 because when compared digit by digit, 9 is greater than 8.

Front

What is the role of the tenths, hundredths, and thousandths places in decimals?

Back

The tenths, hundredths, and thousandths places represent the first three digits to the right of the decimal point, indicating fractions of 10, 100, and 1000 respectively.

Front

How can you visually represent decimals?

Back

Decimals can be visually represented using number lines, grids, or pie charts to show their relative sizes.