Squaring Two-Digit Numbers Techniques

This video tutorial demonstrates a method to square any two-digit number without using a calculator. The method involves finding the distance to the nearest multiple of 10, adjusting the factors, and adding the square of the distance. The video provides detailed examples with numbers 19, 24, 32, and 67, illustrating the step-by-step process of applying this technique to achieve the squared result.

What is the first step in squaring a two-digit number without a calculator?

• Multiply the number by itself

• Find the nearest multiple of 10

• Subtract 10 from the number

• Add the digits together

In the example of 19 squared, what is the nearest multiple of 10?

• 10

• 15

• 20

• 25

When squaring 19, what is the result of 20 times 18 plus 1 squared?

• 340

• 400

• 380

• 361

For 24 squared, what is added to one factor and subtracted from the other?

• 3

• 4

• 2

• 5

What is the final result of 24 squared using the method described?

• 529

• 625

• 484

• 576

In the example of 32 squared, what is the expression formed after adjusting the factors?

• 34 times 30 plus 2 squared

• 32 times 30 plus 4 squared

• 30 times 34 plus 2 squared

• 30 times 32 plus 4 squared

What is the value of 32 squared as calculated in the video?

• 1024

• 1000

• 1040

• 980

For 67 squared, what is the nearest multiple of 10 used?

• 60

• 70

• 80

• 90

What is the final result of 67 squared using the method described?

• 4900

• 4489

• 4356

• 4624

What is the purpose of adding and subtracting the distance from the nearest multiple of 10?

• To simplify the multiplication

• To make the number even

• To increase the number

• To make the number smaller