This math topic focuses on approximating square roots to the nearest integers. Students are tasked with identifying two integers between which the square root of a given number falls. Each question presents a different number for which learners find two consecutive integers that bracket its square root. This skill is essential for understanding and estimating non-perfect squares, reinforcing foundational concepts in algebra and number sense. The topic forms part of a broader unit on the fundamentals of Pythagorean theorem, enhancing students' ability to handle square roots in various mathematical contexts.

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Square Roots Approximating Between Integers Worksheet

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Square Roots Approximating Between Integers
1
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 22 < \bigcirc
a
1, 2
b
2, 3
c
6, 7
d
4, 5
e
3, 4
f
5, 6
2
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 93 < \bigcirc
a
10, 11
b
8, 9
c
11, 12
d
7, 8
e
9, 10
f
6, 7
3
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 71 < \bigcirc
a
5, 6
b
9, 10
c
6, 7
d
7, 8
e
10, 11
f
8, 9
4
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 29 < \bigcirc
a
4, 5
b
5, 6
c
7, 8
d
3, 4
e
6, 7
f
2, 3
5
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 76 < \bigcirc
a
5, 6
b
7, 8
c
9, 10
d
6, 7
e
8, 9
f
10, 11
6
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 91 < \bigcirc
a
7, 8
b
8, 9
c
6, 7
d
9, 10
e
11, 12
f
10, 11
7
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 106 < \bigcirc
a
10, 11
b
9, 10
c
8, 9
d
7, 8
e
11, 12
f
12, 13
8
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 13 < \bigcirc
a
5, 6
b
2, 3
c
1, 2
d
3, 4
e
4, 5