Question

Shaunnie and Marlon missed the lesson on exponents. Shaunnie incorrectly wrote 10⁵ = 50 on her paper, and Marlon incorrectly wrote 2.5 × 10² = 2.500 on his paper.
a. What mistake has Shaunnie made? Explain using words, numbers, or pictures why her thinking is incorrect and what she needs to do to correct her answer.
b. What mistake has Marlon made? Explain using words, numbers, or pictures why his thinking is incorrect and what he needs to do to correct his answer.

Answer 1

Answer:

shaunnie while calculating 10^5 misunderstood exponent with multiplication

which results in 10× 5 = 50

But here it is exponent function

So, it is 10^5 = 100000

Marlon wrote 2.5 × 10^2 = 2.500

She placed a decimal at wrong position

It should be 250.0

Answer 2

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.

Further Explanation

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

Answer Details

Subject: Math

Level: Middle School

Topic: Powers

Keywords

powers, multiplication, multiplying with decimals

Learn More

Checking decimal multiplication: brainly.com/question/923608

Math Powers: brainly.com/question/100928