PA: Number Sense Strand (8.1 - 8.4)

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula: Area = side × side or Area = side².

Front

If the area of a square rug is 324 square feet, what is the length of each side?

Back

The length of each side is 18 ft, since \( \sqrt{324} = 18 \).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction \( \frac{a}{b} \), where a and b are integers and b ≠ 0.

Front

Which of the following is a rational number: \( \sqrt{2} \) or 0.25?

Back

0.25 is a rational number because it can be expressed as \( \frac{1}{4} \).

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

Identify the set of numbers: -9, 6, 0, -14, 120, -304, 6. What is the best name for this set?

Back

The best name for this set is Integers.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely, and it is classified as a rational number.

Front

Which of the following numbers is less than 4.51: \( \frac{25}{6} \), \( \sqrt{21} \), \( \sqrt{25} \), or 500%?

Back

The number \( \frac{25}{6} \) is less than 4.51.

Front

What is the value of \( \sqrt{36} \)?

Back

The value of \( \sqrt{36} \) is 6.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.