Math Problem Statement

85 square it or raise it in 2

Solution

To square the number 85 (or raise it to the power of 2), you calculate:

852=85×8585^2 = 85 \times 85

Let's perform the multiplication step by step:

  1. Multiply the units digit of 85 by itself: 5×5=255 \times 5 = 25 Write down 5 and carry over 2.

  2. Multiply the tens digit of 85 by the units digit, and add the carryover: 8×5+2=40+2=428 \times 5 + 2 = 40 + 2 = 42 Write down 2 and carry over 4.

  3. Multiply the units digit of 85 by the tens digit: 5×8=405 \times 8 = 40 Write down 0 and carry over 4.

  4. Multiply the tens digit of 85 by itself, and add the carryover: 8×8+4=64+4=688 \times 8 + 4 = 64 + 4 = 68

Putting it all together:

852=722585^2 = 7225

So, the square of 85 is 7225.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Exponentiation

Formulas

Exponentiation formula

Theorems

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Suitable Grade Level

Grades 6-8