Repeating Decimals & Fractions
Convert 0.3... into a fraction
3/9 or 1/3
A decimal is rational if it either ________ or ________
repeats or terminates
Calculate 52
25
Calculate perimeter of a square with the side length of 7 units
28 units
Which is larger: 3/4 or 0.7... ?
0.7...
3/4 = 0.75
0.7... = 0.77...
311/99
Rational or irrational: √ 16
Rational: perfect square
√ 16 = 4
Calculate √121
11
Calculate the area of a 6 by 4 unit rectangle
24 units2
Approximate √ 20. State the two perfect squares it is in between.
√ 16 = 4, √20, √ 25 = 5
Convert 2.45... into a mixed number
2 45/99
or 2 5/11
Rational or irrational: √ 18
Irrational: not a perfect square
The symbol √ is called _____
radical
What is the power (exponent) associated with volume? hint: cubic units.
3
Order: 1.5, √ 4, 7/5
7/5 < 1.5 < √ 4
Convert 1.984... into a mixed number
1 984/999
Rational or irrational: 7/4
Rational: can be represented as a fraction (a/b) where b is not equal to 0
An exponent (or power) represents repeated ________
repeated multiplication
Calculate the volume of a rectangular prism with side lengths 3, 4, 5
60 units3
Approximate √ 98. State the two perfect squares it is in between
√ 81 = 9, √98, √100 = 10
Convert 3.27... into a fraction
3 27/99
or 3 3/11
Approximate √ 50. State the two perfect squares it is in between.
√ 50 is irrational, it is between 7 & 8 (closer to 7)
√49 = 7
√64 = 8
Calculate 3√64
3√64 = 4
4 * 4 * 4 = 64
Bob wants to sew ribbon along each side of a square pillow. If the pillow has an area of 36 square inches, how much ribbon must he buy to have the exact amount that he needs?
24 inches
Which is larger: 7/2 + √ 9 or 6?
7/2 + √ 9 > 6
3.5 + 3 > 6
6.5 > 6