Comparing and Ordering Real Numbers

The video tutorial explains how to compare and order real numbers by converting them into decimals. It demonstrates the use of place holding zeros to make accurate comparisons, especially when dealing with repeating decimals and negative numbers. Examples include comparing 1.7 with 1.7 repeating, and understanding the comparison of negative numbers and square roots.

What is the easiest strategy for comparing and ordering real numbers?

• Convert them to decimals

• Convert them to whole numbers

• Convert them to fractions

• Convert them to percentages

Why do we add place-holding zeros when comparing decimals?

• To make the numbers look smaller

• To make the numbers look bigger

• To make the numbers easier to read

• To make the numbers the same length for accurate comparison

What is 1 and 7/9 converted to a decimal?

• 1.7 repeating

• 1.75

• 1.77

• 1.79

Which is larger: 1.7 or 1.7 repeating?

• 1.7

• 1.7 repeating

• They are equal

• Cannot be determined

What is the approximate decimal value of the square root of 12?

• 3.5

• 3.464

• 3.46

• 3.4

When comparing 3.46 and the square root of 12, which is larger?

• Cannot be determined

• 3.46

• Square root of 12

• They are equal

When comparing negative numbers, which statement is true?

• Negative numbers are always smaller than positive numbers

• Negative numbers cannot be compared

• The smaller the negative number, the larger its value

• The larger the negative number, the larger its value

Which is larger: -0.875 or -0.87?

• Cannot be determined

• -0.87

• They are equal

• -0.875

What is the approximate value of the negative square root of 2?

• -1.42

• -1.4

• -1.41

• -1.39

When comparing -1.41 and -1.5, which is larger?

• They are equal

• -1.5

• Cannot be determined

• -1.41