Decimal Movement and Exponent Changes

The video tutorial explains how to subtract numbers in scientific notation. It covers the rules for ensuring exponents are the same, adjusting decimals, and provides multiple examples to illustrate the process. The tutorial emphasizes the importance of keeping the first number between 0 and 10 in scientific notation. The video concludes with a motivational message about kindness.

What must be true about the exponents when subtracting numbers in scientific notation?

• They must be different.

• They must be the same.

• One must be zero.

• They must be negative.

If you move the decimal to the left, what happens to the exponent?

• It becomes zero.

• It gets larger.

• It stays the same.

• It gets smaller.

In Example 1, what was the initial step to make the exponents the same?

• Subtract 1 from the exponent.

• Move the decimal two places to the right.

• Move the decimal one place to the left.

• Add 2 to the exponent.

In Example 2, how many places was the decimal moved to make the number larger?

• One place to the left.

• Two places to the right.

• Two places to the left.

• Three places to the left.

What is the result of moving the decimal two places to the left in Example 2?

• The number becomes zero.

• The number becomes negative.

• The exponent increases by 2.

• The exponent decreases by 2.

In Example 3, what was the purpose of moving the decimal one place to the right?

• To make the exponent negative.

• To make the exponent zero.

• To make the number larger.

• To make the number smaller.

What adjustment is made to the exponent when the decimal is moved to the right in Example 3?

• Subtract 1 from the exponent.

• Add 1 to the exponent.

• Divide the exponent by 2.

• Multiply the exponent by 2.

In Example 4, how many places was the decimal moved to the right?

• Three places.

• Two places.

• One place.

• Four places.

What happens to the exponent when the decimal is moved two places to the left in Example 4?

• It decreases by 2.

• It increases by 2.

• It becomes zero.

• It becomes negative.

What is the final result of the subtraction in Example 4?

• 9.649 times 10 to the second

• 9.649 times 10 to the fourth

• 9.649 times 10 to the third

• 9.649 times 10 to the fifth