Understanding Scientific Notation

This video tutorial explains scientific notation, focusing on converting between scientific and decimal notation. It covers the effects of positive and negative exponents on numbers, providing examples to illustrate these concepts. The tutorial also guides viewers on converting large and small numbers between notations, emphasizing the importance of understanding exponent effects on decimal placement.

What is the basic form of a number in scientific notation?

• n minus 10 to the power of m

• n divided by 10 to the power of m

• n plus 10 to the power of m

• n times 10 to the power of m

What happens to a number when it is multiplied by 10 to a positive power?

• The number becomes larger

• The number remains the same

• The number becomes negative

• The number becomes smaller

If a number is multiplied by 10 to the power of -3, what happens to the number?

• It becomes larger

• It becomes smaller

• It remains unchanged

• It becomes negative

How many places do you move the decimal to convert 1 x 10^4 to standard notation?

• Three places to the left

• Four places to the left

• Four places to the right

• Three places to the right

What is the result of converting 2.8 x 10^4 to decimal notation?

• 28000

• 280000

• 2800

• 280

When converting 5,200,000 to scientific notation, what is the exponent on 10?

• 5

• 6

• 7

• 8

What is the scientific notation for the number 0.00052?

• 5.2 x 10^-7

• 5.2 x 10^-4

• 5.2 x 10^-5

• 5.2 x 10^-6

If a number is 5.2 in scientific notation, what range should it fall within?

• Greater than 10

• Less than 1

• Between 1 and 10

• Equal to 10

What is the first step in converting a large number to scientific notation?

• Divide by 10

• Multiply by 10

• Subtract 10

• Count decimal places

What indicates that a number in scientific notation will have a negative exponent?

• The number is odd

• The number is even

• The number is small

• The number is large