ESTIMATION. WHICH IS THE BEST ESTIMATE FOR THE AREA OF A SQUARE WITH SIDES EQUAL TO 4 1/8 INCHES?

Thank you Damon because this really help me with my math from school.

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To estimate the area of a square with sides equal to 4 1/8 inches, you can use the formula for the area of a square: Area = side length × side length.

Step 1: Convert 4 1/8 inches into a decimal form.
To convert a fraction to a decimal, divide the numerator by the denominator.
4 ÷ 8 = 0.5 (decimal form of 1/8)
So, 4 1/8 inches is equal to 4.5 inches.

Step 2: Calculate the area.
Area = side length × side length
Area = 4.5 inches × 4.5 inches
Area = 20.25 square inches

Therefore, the best estimate for the area of a square with sides equal to 4 1/8 inches is 20.25 square inches.

To estimate the area of a square with sides equal to 4 1/8 inches, you can follow these steps:

1. Determine the length of one side of the square: In this case, the length of one side is given as 4 1/8 inches.

2. Calculate the area of the square: The area of a square is found by multiplying the length of one side by itself. So, you need to square the length of the side.

To square a mixed number like 4 1/8 inches, convert it into an improper fraction. Multiply the whole number (4) by the denominator (8), and add the numerator (1). Then, write the result over the original denominator.

4 * 8 = 32
32 + 1 = 33

The improper fraction for 4 1/8 is 33/8.

3. Square the improper fraction: To square a fraction, multiply it by itself.

(33/8) * (33/8) = 1089/64

Therefore, the area of the square is 1089/64 square inches.

Now, to estimate the area, you can round the fraction to the nearest whole number or decimal.

- Rounding to the nearest whole number: 1089/64 is approximately 17 (since 1089 is closer to 1056 than 1152, and both 1056 and 1152 are divisible by 64).

- Rounding to the nearest decimal place: You can divide 1089 by 64 to get an approximate decimal value, which is around 17.016.

So, the best estimate for the area of the square with sides equal to 4 1/8 inches is either 17 square inches or 17.016 square inches, depending on the level of precision required.

4*4 = 16

or
4 * 4 1/4 = 16 + 1 = 17

exact is 17.015625