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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Math worksheet on 'Square Roots Approximating Between Integers (Level 1)'. Part of a broader unit on 'Squares and Square Roots - Advanced' Learn online: app.mobius.academy/math/units/squares_and_square_roots_advanced/
1
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 3 < \bigcirc
a
1, 2
b
3, 4
c
2, 3
2
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 40 < \bigcirc
a
4, 5
b
6, 7
c
3, 4
d
8, 9
e
5, 6
f
7, 8
3
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 112 < \bigcirc
a
12, 13
b
9, 10
c
7, 8
d
10, 11
e
11, 12
f
8, 9
4
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 21 < \bigcirc
a
4, 5
b
6, 7
c
2, 3
d
5, 6
e
3, 4
f
1, 2
5
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 93 < \bigcirc
a
11, 12
b
9, 10
c
7, 8
d
6, 7
e
10, 11
f
8, 9
6
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 68 < \bigcirc
a
6, 7
b
10, 11
c
5, 6
d
9, 10
e
7, 8
f
8, 9
7
Find the closest integers to the given square root
A LaTex expression showing \bigcirc < square root of 45 < \bigcirc
a
8, 9
b
7, 8
c
5, 6
d
3, 4
e
4, 5
f
6, 7