Square Roots and Scientific Notation

The video covers reasoning about square roots, including approximating their values and plotting them on a number line. It explains true or false statements related to square roots and provides examples of estimating square roots between whole numbers. The lesson concludes with a summary and homework instructions.

What happens when you square a square root?

• The square root becomes irrational.

• The square root is halved.

• The square root is doubled.

• The square root is eliminated.

Between which two whole numbers does the square root of 7 lie?

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

If the square root of 12 is closer to 3.1 than 3.9, what is a good approximation?

• 3.6

• 3.8

• 3.4

• 3.2

Where would you plot the square root of 30 on a number line?

• Between 7 and 8

• Between 6 and 7

• Between 5 and 6

• Between 4 and 5

Which of the following is an irrational number?

• Square root of 16

• Square root of 25

• Square root of 14

• Square root of 64

What is the side length of a square with an area of 13 square units?

• Square root of 13

• Square root of 14

• Square root of 15

• Square root of 12

How do you determine which of two numbers in scientific notation is larger?

• Convert them to decimals first.

• Compare both the coefficients and exponents.

• Compare the exponents only.

• Compare the coefficients only.

What is the approximate value of the square root of 83?

• Between 8 and 9

• Between 11 and 12

• Between 9 and 10

• Between 10 and 11

Which number is larger: 3.7 x 10^5 or 70 x 10^5?

• They are equal.

• Cannot be determined.

• 3.7 x 10^5

• 70 x 10^5

What is the square root of 100?

• 11

• 8

• 9

• 10