Grade 5 Math Flashcard 5.NBT.3-4 - Understanding Decimals

Front

What is a decimal?

Back

A decimal is a number that represents a fraction whose denominator is a power of ten, using a decimal point to separate the whole number part from the fractional part.

Front

How do you compare decimals?

Back

To compare decimals, align the decimal points and compare digit by digit from left to right. The first digit that differs determines which decimal is greater or smaller.

Front

What is expanded form of a decimal?

Back

Expanded form of a decimal expresses the number as the sum of each digit multiplied by its place value. For example, 0.732 = 7 × 1/10 + 3 × 1/100 + 2 × 1/1000.

Front

How do you round decimals?

Back

To round a decimal, look at the digit to the right of the place you are rounding to. If it is 5 or greater, round up; if it is less than 5, round down.

Front

What is the value of the digit 3 in the decimal 0.732?

Back

In the decimal 0.732, the digit 3 is in the hundredths place, representing 3/100 or 0.03.

Front

What does it mean for a decimal to be greater than another?

Back

A decimal is greater than another if it has a larger value when compared, determined by comparing digits from left to right.

Front

What is the smallest decimal among 0.503, 0.530, and 0.350?

Back

The smallest decimal is 0.350.

Front

How do you write 0.456 in expanded form?

Back

0.456 in expanded form is 4 × 1/10 + 5 × 1/100 + 6 × 1/1000.

Front

What is the nearest hundredth to 12.3456?

Back

The nearest hundredth to 12.3456 is 12.35.

Front

How do you identify the smallest decimal?

Back

To identify the smallest decimal, compare the digits starting from the leftmost side until a difference is found.