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What is the square root of 49?
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7
Express the fraction 7/8 as a decimal.
7/8 = 0.875
If a number is both non-terminating and non-repeating, what type of number is it?
Irrational Number
Compare the following numbers: -3/4, 0.5, 1.25. Arrange them from least to greatest.
The order is: -3/4, 0.5, 1.25
Solve the equation: 18 / (3 + 3) + 2^2
First, solve inside the parentheses: 3 + 3 = 6. Then division: 18 / 6 = 3. Then exponents: 2^2 = 4. Finally, addition: 3 + 4 = 7.
Calculate: 5 * (2 + 4) - 3^2
First, solve inside the parentheses: 2 + 4 = 6. Then multiplication: 5 * 6 = 30. Then exponents: 3^2 = 9. Finally, subtraction: 30 - 9 = 21.
Convert the repeating decimal 0.666... to a fraction.
0.666... = 2/3
Solve: (3^2 + 4^2) - (9 / 3)
Solve inside the parentheses: 3^2=9, 4^2=16; 9+16=25; 9/3=3; 25-3=22
What is the fractional representation of the decimal 3.75?
3.75 = 15/4
Determine if the following statement is true or false: The number π minus an integer is still irrational.
True
Identify whether the following number is rational or irrational: sqrt(20).
Irrational
True or False: 0.5 is less than 1/3.
False. 0.5 is greater than 1/3.
True or False: Multiplication always takes precedence over Division in PEMDAS.
False. Multiplication and Division are performed from left to right based on which comes first.
What is the correct order of operations as per PEMDAS?
Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)
Which type of number does not terminate or repeat in its decimal form?
Irrational Numbers
Solve the equation: 6 + (4 * 3) / 2
First, solve inside the parentheses: 4 * 3 = 12. Then division: 12 / 2 = 6. Finally, addition: 6 + 6 = 12.
Compare the numbers: 1/2 * 4 and 2^2. Which is greater?
1/2 * 4 = 2 and 2^2 = 4. Hence, 2^2 is greater.
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