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Math > Perfect squares & estimating square roots > Flashcards

Perfect squares & estimating square roots Flashcards

to be able to fluently find the answers of all perfect squares till 17^2 & fluently estimate non-perfect square roots to the first decimal based on perfect squares.

1
Q

What is the square root of 1?

A

1(same)

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2
Q

What is the square root of 2?

A

4(2x2)

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3
Q

What is the square root of 3?

A

9(3x3)

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4
Q

What is the square root of 4?

A

16(4x4)

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5
Q

What is the square root of 5?

A

25(5x5)

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6
Q

What is the square root of 6?

A

36(6x6)

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7
Q

What is the square root of 7?

A

49(7x7)

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8
Q

What is the square root of 8?

A

64(8x8)

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9
Q

What is the square root of 9?

A

81(9x9)

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10
Q

What is the square root of 10?

A

100(10^2 & the default for estimating decimal roots)

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11
Q

What is the square root of 11?

A

121(11x11)

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12
Q

What is the square root of 12?

A

144(12x12)

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13
Q

What is the square root of 13?

A

169 (remember 169,196 )

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14
Q

What is the square root of 14?

A

196 (remember 169,196 )

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15
Q

What is the square root of 15?

A

225

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16
Q

What is the square root of 16?

A

256 (remember 256 gb usb)

17
Q

What is the square root of 17?

A

289

18
Q

How to estimate the square root of 20?

A

Find the square’s numbers it is in between and estimate what the decimal answer is on a number line

19
Q

How to change √0.36 to a fraction?

A

see ending fraction place (tenth,hundreth,thousanth, ect…) and for this one it is hundreth so that means over 100. So, it will be 36/100 and both are perfect squares so, 6/10 would be the simplified version. The decimal answer would be 0.6

20
Q

How to write √1.44 as a fraction?

A

see ending fraction place (tenth,hundreth,thousanth, ect…) and for this one it is hundreth so that means over 100. So, It will be 144/100 and both are perfect squares so, 12/10 would be the simplified version. The decimal answer would be 1.2

21
Q

How to write √0.4 as a fraction?

A

√4/10

22
Q

How to estimate decimal roots?

A

Find the estimate of decimal to fraction which is always over 100, then find the answer of the top fraction’s √ by estimating imperfect squares

23
Q

How to find a number who’s square root is in between two numbers?, for example in between 0.8 & 0.9

A

The easy way is to find 0.8^2 & 0.9^2 so you get 0.64 & 0.81, Now pick any number in between theese two for example 0.7, to be exact find 0.85’s square root for an exact answer.

24
Q

If 1.44 is the area of a square, what is the side length?

A

√144/100 is 12/10 or 1.2

25
Q

If 0.3m is the side length then what is the area of the square

A

0.3^2 = 0.09m^2

26
Q

What is the default for base of a fraction while estimating decimal roots for numbers like √0.4?

A

100, for example √0.4 = √0.40 = 40/100

27
Q

If 4.3 is the side length of a square what is the area?

A

The area would be 4.3^2

Math (1 decks)

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