Integer Basics Quiz

<p>-2 (C)</p> Signup and view all the answers

<p>-7 (D)</p> Signup and view all the answers

<p>Integers include both negative and positive whole numbers. (A)</p> Signup and view all the answers

<p>-2 (D)</p> Signup and view all the answers

<p>-4 + -6 (C)</p> Signup and view all the answers

<p>-6 (C)</p> Signup and view all the answers

<p>10 &gt; -25 (D)</p> Signup and view all the answers

<p>9 (B)</p> Signup and view all the answers

<p>18 (C)</p> Signup and view all the answers

<p>Negative (D)</p> Signup and view all the answers

<p>Negative product (C)</p> Signup and view all the answers

<p>2°C (C)</p> Signup and view all the answers

<p>$100 (D)</p> Signup and view all the answers

<p>The quotient of two integers with different signs is negative. (C)</p> Signup and view all the answers

<p>Positive (A)</p> Signup and view all the answers

<p>1 and 4 (C)</p> Signup and view all the answers

<p>40 meters (C)</p> Signup and view all the answers

<p>-4 (B)</p> Signup and view all the answers

<p>The result is negative. (B)</p> Signup and view all the answers

<p>7 (A)</p> Signup and view all the answers

<p>3/6 (C)</p> Signup and view all the answers

<p>37/4 (B)</p> Signup and view all the answers

<p>2/9 (A)</p> Signup and view all the answers

<p>Multiply both the numerator and denominator by the same value (D)</p> Signup and view all the answers

<p>2/5 (B)</p> Signup and view all the answers

<p>6 7/8 (C)</p> Signup and view all the answers

<p>They must be equal or converted to a common denominator (D)</p> Signup and view all the answers

<p>5/10 (D)</p> Signup and view all the answers

<p>5/8 (B)</p> Signup and view all the answers

<p>3/4 (C)</p> Signup and view all the answers

<p>2/5 (D)</p> Signup and view all the answers

<p>7/4 (B)</p> Signup and view all the answers

<p>0.9 (B)</p> Signup and view all the answers

<p>1/4 (B)</p> Signup and view all the answers

<p>-5 3/8 (B)</p> Signup and view all the answers

<p>$\frac{11}{10}$ (A)</p> Signup and view all the answers

<p>1/15 (C)</p> Signup and view all the answers

<p>$\frac{9}{10}$ (C)</p> Signup and view all the answers

<p>$\frac{1}{8}$ (C)</p> Signup and view all the answers

<p>$4\frac{5}{6}$ (C)</p> Signup and view all the answers

<p>$\frac{8}{3}$ (C)</p> Signup and view all the answers

<p>0.125 (D)</p> Signup and view all the answers

<p>$\frac{9}{10}$ (B)</p> Signup and view all the answers

A positive or negative whole number, including zero. For example, -3, 0, 5.

Numbers that are the same distance from zero on a number line, but in opposite directions. For example, -3 and 3 are opposites.

A way to represent numbers using a line with points marked at equal intervals. Positive numbers are to the right of zero, and negative numbers to the left.

The process of adding two or more integers together.

Numbers ordered from smallest to largest.

Numbers ordered from largest to smallest.

A way to compare two numbers using symbols like '<' (less than) or '>' (greater than) to indicate which number is bigger or smaller.

The number that when added to a given integer results in zero. For example, the additive inverse of 5 is -5.

Adding two numbers with opposite signs involves finding the difference between their absolute values and assigning the sign of the larger absolute value to the result. For example, (+3) + (-5) = -2, where the difference is 2 and the sign is negative because |-5| > |+3|.

When adding two numbers with the same sign, add their absolute values and assign the common sign to the result. For example, (-4) + (-6) = -10, where the sum of the absolute values is 10 and the sign is negative.

To subtract integers, rewrite the subtraction as addition by changing the sign of the second number. Then, apply the rules of integer addition.

The product of two positive integers is always positive. The product of two negative integers is always positive. The product of a positive integer and a negative integer is always negative.

When multiplying three or more integers, the product is positive if there is an even number of negative signs. It is negative if there is an odd number of negative signs.

Integer addition and subtraction are used to solve real-world problems, where positive and negative integers represent increases and decreases, respectively.

Fractions that represent the same value, even though they have different numerators and denominators.

To find equivalent fractions, multiply both the numerator and denominator by the same number.

The simplest form of a fraction where the numerator and denominator have no common factors other than 1.

Divide both the numerator and denominator by their greatest common factor (GCF).

A fraction where the numerator is greater than or equal to the denominator.

A number with a whole number part and a fractional part.

1. Multiply the denominator by the whole number.
2. Add the result to the numerator.
3. Keep the same denominator.

1. Divide the numerator by the denominator.
2. Use the remainder as the numerator of the fractional part.
3. Keep the same denominator.

A fraction represents a part of a whole. The numerator indicates the number of parts taken, while the denominator represents the total number of parts the whole is divided into.

When dividing three or more integers, the quotient will be positive if there are an even number of negative signs, and it will be negative if there are an odd number of negative signs.

The quotient of two integers with the same sign is positive. The quotient of two integers with different signs is negative.

To determine the greatest product, multiply the two largest integers (in absolute value). To determine the lowest product, multiply the largest negative integer by the smallest positive integer.

A hot air balloon rises from the ground at 5 m/s for 10 seconds. It then descends at 2 m/s for 6 seconds. Calculate the balloon's final height.

Karisa made several withdrawals of $14 from her bank account, totaling $98. Calculate the number of withdrawals made by Karisa.

Find the least common multiple (LCM) of the denominators, then convert each fraction to an equivalent fraction with the LCM as the new denominator. Add or subtract the numerators, keeping the denominator the same.

To multiply fractions, multiply the numerators and denominators together. Then, simplify the result to its lowest terms.

To divide fractions, flip the second fraction (the divisor) and multiply. Then, simplify the result to its lowest terms.

Combine the whole number with the fraction - multiply the whole number by the denominator, then add the numerator. Keep the denominator the same.

Divide the numerator by the denominator. If the result is a whole number, it's a whole number. Otherwise, express the result as a mixed number if possible, or include a repeating bar for repeating decimals.

Find the simplest fraction equal to the decimal. For example, 0.5 is equal to 1/2.

The smallest value that is a multiple of all the denominators in the fractions involved.

To reduce a fraction to its simplest form, divide the numerator and denominator by their greatest common factor (GCF).

A fraction where the numerator is smaller than the denominator, representing a value less than one.

A fraction where the numerator is equal to or greater than the denominator, representing a value of 1 or more.

Transforming an improper fraction into a mixed number involves dividing the numerator by the denominator, writing the quotient as the whole number, and any remainder as the numerator of the fraction.

Finding a common denominator allows you to compare fractions by adjusting them to have the same denominator, simplifying the comparison process.

Comparing fractions with the same denominator involves simply comparing the numerators, as the denominator represents the size of the 'slice'.

Ordering fractions involves arranging them from smallest to largest or vice versa.

Solving a rational equation often involves finding a value for the unknown that makes the equation true. The steps involved may include simplifying fractions, combining like terms, and isolating the variable.