1. Write the number in standard form. 7.1 * 10^4
A. 710
B. 7,100
C. 71,000 ***
D. 710,000
2. 5.01 * 10^-3
A. 5,010
B. 0.501
C. 0.0501
D. 0.00501 **
3. Select all of the numbers that are correctly written in scientific notation. (2 answers)
A. 42 * 10^5
B. 1.1 * 10^4 ***
C. 7 * 20^4
D. 6.01 * 10^-4 ***
E. 18 * 10^3
4. Multiply (2*10^4)(3*10^3)
A. 6*10^7 ***
B. 6*10^12
C. 6*10^5
D. 6*10^1
5. Add (7*10^6)+(2*10^6)
A. 9*10^4
B. 9*10^12
C. 9*10^6 ***
D. 9*10^10
Let me know if I got any wrong.
all correct.
You have answered question 1, 2, 3, 4, and 5 correctly. Well done!
1. To write the number in standard form, you need to move the decimal point to the right by the exponent value. In this case, the exponent is 4, so we move the decimal point four places to the right. Thus, 7.1 * 10^4 becomes 71,000. The correct answer is option C, 71,000.
2. Similar to the previous question, we need to move the decimal point to the left by the absolute value of the exponent, which in this case is 3. Therefore, 5.01 * 10^-3 becomes 0.00501. The correct answer is option D, 0.00501.
3. In scientific notation, a number is written as a decimal number between 1 and 10 multiplied by a power of 10.
Option A, 42 * 10^5: This is not in scientific notation because the number "42" is greater than 10.
Option B, 1.1 * 10^4: This is correctly written in scientific notation.
Option C, 7 * 20^4: This is not in scientific notation because 20 is not equal to 10.
Option D, 6.01 * 10^-4: This is correctly written in scientific notation.
Option E, 18 * 10^3: This is not in scientific notation because the number "18" is greater than 10.
So the correct answers are options B and D.
4. To multiply numbers in scientific notation, multiply the coefficients and add the exponents. (2*10^4)(3*10^3) simplifies to 6 * 10^7. The correct answer is option A, 6*10^7.
5. To add numbers in scientific notation, the exponents must be the same. In this case, the exponents are both 6, so we can add the coefficients (7 + 2) and keep the exponent the same. Therefore, (7*10^6) + (2*10^6) equals 9 * 10^6. The correct answer is option C, 9*10^6.
You got all the answers correct! Well done!