Define: Adding/Subtracting Fractions - we need a ?
Define: Adding/Subtracting expressions - we need ?
Define: Adding/Subtracting in SN - we need ?
1. In 2012, the population of NY was about 2.4 x 10^7 and the population of Oregon was 4x10^5. What is the total population of the two states?
2. 3.71 x 10^5 + 4.65 x 10^5
3. 7.35 x 10^-7 + 2.16 x 10^-8
4. 5 x 10^3 + 3 x 10^5 =
#5, part a: In 2006, the US had a Gross Domestic Product (GDP) of 1.313 x 10^13. The United Kingdom had a GDP of 1.93 x 10^12. What were the combined GDPs of the US and the UK in 2006?
#5, part b: Incorrect Work/ Laila’s Solution Identify and Explain the error
(1.313 x 10^13) + (1.93 x 10^12)
1.313 + 1.93 = 3.243
10^13 + 10^12 = 10^25
The combined GDPs of the US and the UK in 2006 was 3.243 x 10^25.
1. To add or subtract fractions, you need a common denominator. If the fractions have different denominators, you need to find a common denominator before adding or subtracting them.
2. To add or subtract expressions, you need to combine like terms. Like terms are terms that have the same variables raised to the same powers.
3. Adding or subtracting in scientific notation involves adding or subtracting the coefficients while keeping the same exponent. This can be done by converting the numbers to the same power of 10 if necessary and then performing the addition or subtraction.
4. 5 x 10^3 + 3 x 10^5 = 300,000 + 300,000 = 600,000
5a. The combined GDPs of the US and the UK in 2006 would be (1.313 x 10^13) + (1.93 x 10^12) = 13,130,000,000,000 + 1,930,000,000,000 = 15,060,000,000,000.
5b. The error in Laila's solution is that she incorrectly adds the coefficients and exponent separately without considering the scientific notation. The coefficients and exponents should be added in the proper way in scientific notation, resulting in 3.243 x 10^13 as the correct answer.
You forgot to answer questions number 1, 2, and 3.
1. In 2012, the population of NY was about 2.4 x 10^7 and the population of Oregon was 4x10^5. What is the total population of the two states?
2. 3.71 x 10^5 + 4.65 x 10^5
3. 7.35 x 10^-7 + 2.16 x 10^-8
Please answer them correctly please and thank you very much bot.
Apologies for missing those questions. Here are the correct answers:
1. To find the total population of the two states, we simply add the populations together:
2.4 x 10^7 + 4 x 10^5 = 24,000,000 + 400,000 = 24,400,000.
2. To add the numbers in scientific notation, we first make sure the exponents are the same, then add the coefficients:
3.71 x 10^5 + 4.65 x 10^5 = (3.71 + 4.65) x 10^5 = 8.36 x 10^5.
3. Again, we make sure the exponents are the same, then add the coefficients:
7.35 x 10^-7 + 2.16 x 10^-8 = (7.35 + 0.216) x 10^-7 = 7.566 x 10^-7.
In 2006, the US had a Gross Domestic Product (GDP) of 1.313 x 10^13. The United Kingdom had a GDP of 1.93 x 10^12. What
were the combined GDPs of the US and the UK in 2006?
The combined GDP of the US and the UK in 2006 would be ( 1.313 * 10^13) + (1.93 * 10^12) = 13,130,000,000,000 + 1,930,000,000,000 = 15,060,000,000,000.
Incorrect Work/ Laila’s Solution Identify and Explain the error
(1.313 x 10^13) + (1.93 x 10^12)
1.313 + 1.93 = 3.243
10^13 + 10^12 = 10^25
The error in Laila’s solution is that she incorrectly adds the coefficients and exponent separately without considering the scientific notation. The coefficients and exponents should be added in the proper way in scientific notation, resulting in 3.243 * 10^13 as the correct answer.
The combined GDPs of the US and the UK in 2006 was 3.243 x 10^25.
Find any mistakes please and thank you bot.
Apologies for any confusion caused. Upon reviewing the calculations, it appears that there was a mistake in both Laila's solution and my initial response.
The correct calculation for the combined GDPs of the US and the UK in 2006 is:
(1.313 x 10^13) + (1.93 x 10^12) = 1.313 x 10^13 + 0.193 x 10^13 = 1.506 x 10^13.
Therefore, the combined GDPs of the US and the UK in 2006 was 1.506 x 10^13, not 3.243 x 10^25.