a. Shaunnie's mistake was that she multiplied 10 times 5. When you multiply 10x5, it is the same as 10+10+10+10+10. However, the question asked about 10⁵. 10⁵ means 10 to the fifth power which is the same as 10x10x10x10x10. She needs to multiply 10 to itself, ten times. This equals 1,000,000.
b. Marlon made the mistake of not moving the decimal point. Marlon added the two zeros to the end when he multiplied 2.5 to 10² because 10² is the same as 100. However, when multiplying with a decimal, the decimal needs to move as well. He needs to move the decimal place to the right two places. His answer should be 250. The last zero is dropped because it is to the right of the decimal and not followed by another number.
<h3>Further Explanation</h3>
Numbers to the nth power.
When a number has a power as in 10², this means that you multiply that number by itself however many times the power indicates. A number to the 29th power would be multiplied by itself 29 times.
Multiplying Decimals
When multiplying decimals, it is important to remember to shift the decimal to the correct place. A number multiplied by ten moves the decimal one place to the right. A number multiplied by 100 moves the decimal two places to the right. A number multiplied by 1000 moves the decimal three places to the right. A trick for remembering is the number of zeros in 10, 100, or 1000. For each zero, move the decimal
<h3>Answer Details</h3>
Subject: Math
Level: Middle School
Topic: Powers
<h3>Keywords</h3>
powers, multiplication, multiplying with decimals
<h3>Learn More</h3>
Checking decimal multiplication: brainly.com/question/923608
Math Powers: brainly.com/question/100928
