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Square Approximation Near Perfect Square (Level 1)

This math topic focuses on estimating the square of numbers close to perfect squares. It involves exercises where students approximate the squares of decimal numbers that are near whole numbers with known squares. Each problem provides a whole square (e.g., \(4^2 = 16\)) and asks for the approximation of a slightly smaller or larger decimal value (e.g., \(3.9^2\)). Multiple-choice answers are given for each query, challenging students to approximate square values critically. This is an advanced exercise within the unit on squares and square roots.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Square Approximation Near Perfect Square

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What is a good approximation for the second square

72=497.12≈?7^2 = 49\\7.1^2 \approx ?

Square Approximation Near Perfect Square Worksheet

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Math worksheet on 'Square Approximation Near Perfect Square (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
What is a good approximation for the second square
A LaTex expression showing 8 to the power of 2 = 64\\7.8 to the power of 2 \approx ?
a
50
b
66
c
69
d
61
e
56
f
72
2
What is a good approximation for the second square
A LaTex expression showing 5 to the power of 2 = 25\\5.2 to the power of 2 \approx ?
a
27
b
32
c
24
d
34
e
20
f
22
3
What is a good approximation for the second square
A LaTex expression showing 7 to the power of 2 = 49\\7.1 to the power of 2 \approx ?
a
41
b
55
c
60
d
50
e
43
f
57
4
What is a good approximation for the second square
A LaTex expression showing 6 to the power of 2 = 36\\5.8 to the power of 2 \approx ?
a
38
b
26
c
42
d
34
e
30
f
28
5
What is a good approximation for the second square
A LaTex expression showing 4 to the power of 2 = 16\\3.9 to the power of 2 \approx ?
a
18
b
10
c
21
d
19
e
15
f
11