What is the result of 7.3 x 7.3?

Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the result of 7.3 x 7.3?

Explanation:
To find the result of 7.3 multiplied by 7.3, it can be helpful to break it down in a way that makes the multiplication easier to handle. First, consider that multiplying a number by itself is the same as squaring that number. So, we are looking for \(7.3^2\). To perform the calculation, you can set it up in a way that lays out the multiplication in a more manageable form: \[ 7.3 \times 7.3 = (7 + 0.3)(7 + 0.3) \] Using the formula \((a+b)^2 = a^2 + 2ab + b^2\), where \(a = 7\) and \(b = 0.3\): - First, calculate \(a^2\), which is \(7^2 = 49\). - Next, calculate \(b^2\), which is \(0.3^2 = 0.09\). - Now, calculate \(2ab\), which is \(2 \times 7 \times 0.3 = 4.2\). Adding these results together gives: \[ 49 + 4.

To find the result of 7.3 multiplied by 7.3, it can be helpful to break it down in a way that makes the multiplication easier to handle.

First, consider that multiplying a number by itself is the same as squaring that number. So, we are looking for (7.3^2).

To perform the calculation, you can set it up in a way that lays out the multiplication in a more manageable form:

[

7.3 \times 7.3 = (7 + 0.3)(7 + 0.3)

]

Using the formula ((a+b)^2 = a^2 + 2ab + b^2), where (a = 7) and (b = 0.3):

  • First, calculate (a^2), which is (7^2 = 49).

  • Next, calculate (b^2), which is (0.3^2 = 0.09).

  • Now, calculate (2ab), which is (2 \times 7 \times 0.3 = 4.2).

Adding these results together gives:

[

49 + 4.

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