12.12 DSA Review LSSAE

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left of the decimal point, then multiply by 10 raised to the number of places the decimal was moved.

Front

Convert 4.3756 x 10^4 to standard form.

Back

43,756

Front

What is the standard form of 0.0005?

Back

5 x 10^-4

Front

How do you find the diagonal distance of a rectangle?

Back

Use the Pythagorean theorem: a² + b² = c², where a and b are the lengths of the sides, and c is the diagonal.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

If a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

Back

Yes, it is a right triangle because 8² + 15² = 17².

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for a number to be in standard form?

Back

A number is in standard form when it is expressed as a number between 1 and 10 multiplied by a power of ten.

Front

How do you express 437,560 in scientific notation?

Back

4.3756 x 10^5.