Untitled Quiz

When a positive integer is divided by a negative integer, the result is a negative number.

When a negative integer is divided by a negative integer, the result is a positive number.

It's impossible to divide any number by zero.

The result of dividing two positive integers is always positive.

The result of dividing two negative integers is always positive.

The result of dividing a positive integer by a negative integer is always negative.

Two numbers that add up to zero.

The rules for dividing integers are similar to those for multiplying integers.

The largest number that divides exactly into two or more given numbers.

Find the prime factors of each number; the HCF is the product of the prime factors common to all numbers, each taken to the lowest power.

The HCF of any two consecutive even numbers is 2.

The HCF of any two consecutive odd numbers is 1.

A method to find the HCF by successive divisions where the remainder is zero.

Dividing both the numerator and denominator by their HCF to obtain the fraction in its most simplified form.

Finding a number's decomposition into prime numbers.

HCF example is a process of working out the HCF of several numbers using two methods: 1) prime factorization and 2) division method

To find rational numbers between two given rational numbers, convert them into equivalent fractions with common denominators. Then, increase the denominators and numerators by the same factor. This creates more spaces between the numbers, revealing additional rational numbers.

Fractions that represent the same value even though they have different numerators and denominators. Created by multiplying both the numerator and denominator by the same number.

Rational numbers that differ by a single rational number and can be represented with consecutive integers in the numerator with a common denominator.

Creating equivalent fractions with larger denominators by multiplying both numerator and denominator by the same factor, increasing the precision of the representation.

With larger denominators, more rational numbers appear between two given numbers. This is because equivalent fractions with increased denominators represent the same value, but with finer granularity, revealing more points on the number line.

Two rays that share a common endpoint (origin) and form a straight line.

Two adjacent angles that share a common side and whose non-common sides form a straight line.

Two adjacent angles whose non-common sides form a straight line. The sum of their measures is 180 degrees.

Two angles whose measures add up to 180 degrees.

Angles in a linear pair are always supplementary angles.

Two angles that share a common vertex and a common side.

Two angles whose measures add up to 90 degrees.

Two angles that do not share a common vertex or a common side.

To find the number exactly in the middle of two rational numbers, add them together and divide by 2.

The rational number that lies exactly halfway between 5/10 and 6/10 is 11/20.

To find a rational number between 2/7 and 6/7, add the two fractions and divide by 2.

Given two rational numbers, you can find three rational numbers between them by repeatedly finding the middle number.

To find a rational number between -3/4 and +5/4, find the average.

To find a rational number between 0 and -3, think of dividing the space between 0 and -3 into smaller parts.

Consecutive integers are integers that follow each other in order, with a difference of 1 between them.

Representing a fraction as a decimal number, where the numerator is divided by the denominator. This results in a number with a whole part and a decimal part.

Dividing a decimal number by 10, 100, 1000, etc., shifts the decimal point to the left by the same number of places as the number of zeros in the divisor.

Multiplying a decimal number by 10, 100, 1000, etc., shifts the decimal point to the right by the same number of places as the number of zeros in the multiplier.

Adding zeros to the right of a decimal number after the fractional part does not change its value.

Adding zeros to the left of a decimal number before the integer part does not change its value.

Every rational number can be expressed as a decimal that either terminates (ends) or repeats.

To find rational numbers between two given rational numbers, express them as fractions with the same denominator. Then, increase the numerator and denominator of both fractions by the same factor to create new fractions in between.

Between any two rational numbers, there are infinitely many more rational numbers.