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How do you decide when to compare numbers using ratios rather by finding the difference of the two numbers?
Finding the difference between two numbers involves rationalising them
How do you compare two ratios in two ways?
Treat the ratios as fractions. One way you can compare them is to convert them to decimal (divide the numerator by the denominator, or the first number of the ratio by the second number), then compare. Another way is to find a common denominator, then compare the numerators.
What numbers represent irrational numbers?
These are the numbers which cannot be expressed as ratios of two integers.
Why are some numbers irrational?
There are numbers which cannot be expressed as ratios of two integers. These are called irrational numbers.
When do two ratios form a proportion?
When both can multiply its comparisons to when both ratios share the exact same numbers.
How are ratios and rates similar and different?
They are different because a ratiocompares two different numbers or measurements from different units but the rate does not. They are similar because they both compare numbers. EX) ratio: 4/3 rate: 1.333 etc.
The product of numbers on the diagonal when comparing two ratios?
cross product.
When two numbers have the same value?
Equivalent ratios.
Can you compare two complex numbers?
You can compare their magnitude (absolute values) but not the numbers themselves.
What is used to compare two numbers on a graph?
Their position relative to a reference point - often the origin.
Why are there irrational numbers?
Because there are numerical values which cannot be expressed as ratios of two integers. That is, there are numbers that are not rational.
How to find unit rate in math?
you can compare two measurements using ratios to find the unit rate.
