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# What is the decimal equivalent of (1/4)^2?

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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
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Bunuel wrote:
What is the decimal equivalent of (1/4)^2?

A. 0.0016
B. 0.0625
C. 0.16
D. 0.25
E. 0.5

(1/4)² = (1/4)(1/4)= 1/16

Two approaches from here.

APPROACH #1: use long division to divide 16 into 1 to get 1/16 = 0.0625

APPROACH #2: recognize that 1/100 < 1/16 < 1/10
In other words: 0.01 < 1/16 < 0.1
Only one answer choice (B) lies between 0.01 and 0.1

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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
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1/4= 25/100 => (25/100)^2=625/10000 = 0.0625
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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
$$(\frac{1}{4})^2$$ = $$\frac{1}{16}$$

decimal equivalent of $$\frac{1}{16}$$ = 0.0625

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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
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(1/4)^2 >
(1/4)=0.25
(0.25)^2=0.0625
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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
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Bunuel wrote:
What is the decimal equivalent of (1/4)^2?

A. 0.0016
B. 0.0625
C. 0.16
D. 0.25
E. 0.5

$$\frac{1}{4} = 0.25$$

Next use the squaring trick with units digit 5 ( https://www.math.hmc.edu/funfacts/ffiles/10003.1.shtml )

$$0.25^2 = 0.0625$$

So, Answer will be (B) 0.0625
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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
Bunuel wrote:
What is the decimal equivalent of (1/4)^2?

A. 0.0016
B. 0.0625
C. 0.16
D. 0.25
E. 0.5

Since 1/4 = 0.25, we have:

(0.25)^2 = 0.25 x 0.25 = 0.0625

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Re: What is the decimal equivalent of (1/4)^2? [#permalink]
What is the decimal equivalent of $$(\frac{1}{4})^2$$?

A. 0.0016
B. 0.0625
C. 0.16
D. 0.25
E. 0.5

(1/4)^2 = (.25)^2 = 0.0625