Comparing and Ordering Real Numbers

This video tutorial recaps the previous lesson on ordering real numbers. It covers converting numbers to decimal form, ordering them on a number line, and understanding the square root of 2. Additionally, it includes a practical problem involving the comparison of ribbon length to the diagonal of a rectangular bag using the square root of 74.

What is the main focus of this video?

• Learning about fractions

• Comparing and ordering real numbers

• Solving quadratic equations

• Understanding algebraic expressions

What is the first step in comparing real numbers?

• Converting them to fractions

• Turning them into decimal form

• Finding their square roots

• Arranging them in ascending order

Which number is the smallest in the given list?

• -4.51

• -3

• 320

• 3.14

Where would the number -4.51 be placed on a number line?

• Between 3.14 and 320

• To the left of -3

• To the right of -3

• To the right of 3.14

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

• 1.5

• 1.41

• 1.3

• 1.4

Between which two values does the square root of 2 fall?

• 1.6 and 1.7

• 1.3 and 1.4

• 1.5 and 1.6

• 1.4 and 1.5

What is the length of the ribbon Darcy wants to use?

• 8.7 feet

• 8.6 feet

• 8.5 feet

• 8.8 feet

What is the length of the diagonal of the rectangular bag?

• 8.5 feet

• 8.6 feet

• 8.8 feet

• 8.7 feet

Does Darcy have enough ribbon to cover the diagonal of the bag?

• Not enough information

• Yes

• No

• Maybe

What is the approximate value of the square root of 74?

• 8.8

• 8.6

• 8.5

• 8.7