Perfect Squares & Square Roots
sqrt (144
12
What specific subset does 12 belong to ?
Natural
Idetify two consectutive numbers between this square root.
sqrt (382
19 and 20
3.8 times 10^3
3,800
Compare the two.
-0.0371
-3.71 x 10^-2
=
sqrt (196
14
What's a number that is a whole number but not a natural number ?
0
Idetify two consectutive numbers between this square root.
sqrt (420
20 and 21
-2.76 times 10^-4
-0.000276
-.000276
Is 72% less than 7.2 x 10 to the power of negative 2 ?
No, it's bigger.
17^2
289
What specific subset does
sqrt 288
Irrational
Compare.
-sqrt (61
-sqrt (58
< or - square root of 58 is bigger
-2.56 times 10^5
-256,000
Write out 4.37 x 10 to the power of -2 is less than x that is less than 2.9. Now which of these numbers could be x ?
3
sqrt (8
3.7 times 10^-3
3%
1/20
1/20
sqrt(8
18^2
324
A number that is a rational number but not an integer.
Answer in words not a number.
Any decimal.
Does this square root lies before or after -13 and 1/2 on the number line?
-sqrt (180
Before
Compare the two.
4.8 times 10^-5
8.65 times 10^-1
Is bigger. <
8.65 times 10^-1
Put in ascending order.
-17/5, -sqrt(10), -200%, -0.4, 8.6 times 10^-2
-17/5, -sqrt(10), -200%, -0.4, 8.6 times 10^-2
sqrt (361
19
Give an example of a irrational ?
Any number that continues with no pattern.
Where does this square root lie on the number line. Explain in words.
-sqrt (110
Before -10.5 on the number line.
After -10 on the number line.
Put in ascending order.
-7.75 times 10^-1
-8.3 times 10^7
9.5 times 10^7
1st -7.75 because it's a negative deciamal
2nd -8.3 becasue its a negative whole number
3rd 9.5
Put in descending order.
-sqrt(13), -90%, pi, -10/3, 7.3 times 10^4
7.3 times 10^4, pi, -90%, -10/3, -sqrt(13)