Comparing Decimals

Front

What is the definition of a decimal number?

Back

A decimal number is a number that includes a decimal point, which separates the whole number part from the fractional part.

Front

How do you compare two decimal numbers?

Back

To compare two decimal numbers, align them by the decimal point and compare digit by digit from left to right.

Front

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

Back

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

Front

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

Back

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

Front

What does the symbol '=' represent in decimal comparison?

Back

'=' means that both numbers are equal.

Front

How do trailing zeros affect the value of a decimal number?

Back

Trailing zeros in a decimal number do not affect its value; for example, 9.71 is equal to 9.710.

Front

When comparing 6.4 and 6.41, which is greater?

Back

6.41 is greater than 6.4 because when aligned, 6.41 has an additional digit in the hundredths place.

Front

What is the significance of the place value in decimal numbers?

Back

Place value determines the value of each digit in a decimal number based on its position relative to the decimal point.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with the decimal number as the numerator and a power of 10 as the denominator, then simplify.

Front

What is the relationship between decimals and percentages?

Back

Decimals can be converted to percentages by multiplying by 100 and adding a percent sign.