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Questions and Answers
What is the result of the following operation: $-5 - (-3)$?
What is the result of the following operation: $-5 - (-3)$?
- $-2$ (correct)
- $2$
- $8$
- $-8$
What is the greatest common factor (GCF) of 24 and 36?
What is the greatest common factor (GCF) of 24 and 36?
- 72
- 6
- 12 (correct)
- 24
What is the least common multiple (LCM) of 15 and 20?
What is the least common multiple (LCM) of 15 and 20?
- 60 (correct)
- 150
- 5
- 300
What is the result of multiplying $-7$ by $-3$?
What is the result of multiplying $-7$ by $-3$?
What is the result of dividing $-45$ by $5$?
What is the result of dividing $-45$ by $5$?
Solve: $9 + (12 / 3) - 2 * 4$
Solve: $9 + (12 / 3) - 2 * 4$
What is the square root of 144?
What is the square root of 144?
Which fraction is larger: $\frac{5}{6}$ or $\frac{7}{8}$?
Which fraction is larger: $\frac{5}{6}$ or $\frac{7}{8}$?
What is the sum of $\frac{1}{3}$ and $\frac{1}{4}$?
What is the sum of $\frac{1}{3}$ and $\frac{1}{4}$?
Simplify: $\frac{2}{5} + \frac{3}{10} - \frac{1}{2}$
Simplify: $\frac{2}{5} + \frac{3}{10} - \frac{1}{2}$
Which of the following statements correctly compares $\frac{3}{7}$ and $\frac{5}{9}$?
Which of the following statements correctly compares $\frac{3}{7}$ and $\frac{5}{9}$?
What is the prime factorization of 42?
What is the prime factorization of 42?
What is the result of the following: $ -6 \times 3 \div (-2) $?
What is the result of the following: $ -6 \times 3 \div (-2) $?
Which number is an integer?
Which number is an integer?
What is the value of $|-8|$?
What is the value of $|-8|$?
Flashcards
What is an integer?
What is an integer?
A whole number that can be positive, negative, or zero.
What is absolute value?
What is absolute value?
The distance of a number from zero on the number line, regardless of direction.
How to subtract integers
How to subtract integers
To subtract two integers, add the opposite of the second integer to the first.
What is the Greatest Common Factor (GCF)?
What is the Greatest Common Factor (GCF)?
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What is the Least Common Multiple (LCM)?
What is the Least Common Multiple (LCM)?
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What is prime factorization?
What is prime factorization?
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What is BEDMAS?
What is BEDMAS?
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What is a square root?
What is a square root?
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What are 'like fractions'?
What are 'like fractions'?
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How to compare unlike fractions
How to compare unlike fractions
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What is the Least Common Denominator (LCD)?
What is the Least Common Denominator (LCD)?
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Adding/subtracting fractions
Adding/subtracting fractions
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Study Notes
- An integer is a whole positive or negative number.
- Integers greater than 0 are positive and located to the right of 0.
- An integer is always a whole number.
- Absolute value is a number that coordinates with a number on the negative side of the number line.
Subtracting Integers
- To subtract two integers, rewrite the subtraction expression as the first number plus the opposite of the second number.
- This means changing a positive number to negative and vice versa.
GCF and LCM
- The greatest common factor (GCF) of two numbers is the largest factor of both numbers.
- It is the product of the common prime factors between them.
- The lowest common multiple (LCM) of two numbers is the smallest multiple of both numbers.
- Multiply one number by the prime factors it's missing from the other.
- Prime factorization involves expressing a number as a product of its prime factors.
- You keep dividing the original number by prime factors until the remainder is 1.
Multiplying Integers
- positive * positive = positive
- negative * positive = negative
- negative * negative = positive
- negative * 0 = 0
- positive * 0 = 0
Dividing Integers
- positive / positive = positive
- negative / positive = negative
- negative / negative = positive
- negative / 0 = 0
- positive / 0 = 0
BEDMAS
- Brackets, Exponents, Division, Multiplication, Addition, and Subtraction.
Square Roots
- Finding a square root means determining which number, when multiplied by itself, equals the given number.
- For example, the square root of 81 is 9, because 9 * 9 = 81.
Fractions
- Fractions with the same denominators are called "like fractions."
- When denominators are the same, the fraction with the larger numerator is larger.
- If numerators are the same, the fraction with the smaller denominator is larger.
- Fractions with different denominators are called "unlike fractions."
- To compare unlike fractions, rename them with a common denominator, making them like fractions.
- To find a common denominator, check if the smaller denominator divides evenly into the larger one and If not, multiply the larger denominator by 2, 3, 4, etc., until a common denominator is found.
Adding/Subtracting Fractions:
- Rewrite the problem with improper fractions if necessary
- Find the Least Common Denominator
- Rewrite the problem with Equivalent Fractions
- Add (or Subtract) the numerators
- Reduce the answer if possible
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