Square of -37

The square of a number is the product of the number with itself. The square of -37 is -37 × -37. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-37)², where -37 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.

The square of -37 is (-37) × (-37) = 1369.

Square of -37 in exponential form: (-37)²

Square of -37 in arithmetic form: -37 × -37

The square of a number is multiplying the number by itself. Let’s learn how to find the square of a number. These are the common methods used to find the square of a number.

1. By Multiplication Method
2. Using a Formula
3. Using a Calculator

In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of -37.

Step 1: Identify the number. Here, the number is -37.

Step 2: Multiply the number by itself, we get, -37 × -37 = 1369.

The square of -37 is 1369.

In this method, the formula a² is used to find the square of the number, where a is the number.

Step 1: Understanding the equation Square of a number = a²

a² = a × a

Step 2: Identifying the number and substituting the value in the equation. Here, ‘a’ is -37.

So: (-37)² = (-37) × (-37) = 1369

Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of -37.

Step 1: Enter the number in the calculator Enter -37 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is, -37 × -37

Step 3: Press the equals button to find the answer Here, the square of -37 is 1369.

Tips and Tricks for the Square of -37: Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students. -

• The square of an even number is always an even number. For example, 6² = 36. 

• The square of an odd number is always an odd number. For example, 5² = 25. 

• The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9. 

• If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2. 

• The square root of a perfect square is always a whole number. For example, √144 = 12.

• Prime number: A positive integer greater than 1 that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc. 

• Exponential form: Writing a number in the form of a power, such as (-37)² where -37 is the base and 2 is the exponent. 

• Square root: The square root is the inverse operation of squaring. For real numbers, it is a number whose square is the given number itself. 

• Complex number: A number that has a real part and an imaginary part, such as 6.08i, where i is the imaginary unit. 

• Perfect square: A number that is the square of an integer, such as 1369, which is the square of both 37 and -37.