Download 10.1 Irrational Numbers filled out - Cole Camp R-1

Vocabulary
• Radicand
• Irrational numbers
10.1
Irrational
Numbers
Irrational numbers
• Are numbers that cannot be written as a fraction, a
terminating decimal, or repeating decimals.
• Examples include: π and 2
• An architect is drawing a landscaping plan which
include three square cement blocks with areas of
2
bases approximately 5, 31, and 98𝑓𝑡 . To find the
length of a side of each block, she finds the square
root of each area. Find the value of each to the
nearest hundredth: 5, 31, 98.
Find the value of 18 to the nearest hundredth.
Theorem
• The square root of the product of two nonnegative
numbers is the same as the product of their square
roots.
• 𝑎∙𝑏 = 𝑎∙ 𝑏
Breaking down roots
1.
2.
3.
4.
Determine what perfect square divides evenly into your number
Break it down into the perfect square the second factor.
Work out perfect square
Leave the second factor under the root
Simplify each expression.
• 32
• 300
• 125
• 56
Multiply the expressions, and simplify.
• 4 10 −3.1 6
• 3 2 2 10
• (5 9)(3 2)
Divide the expressions, and simplify.
•
72
2
• −5 33 ÷ 3 22
•
150
6
Homework
• 428 #1-30