Approximate 13 plus cube root of 9 to the nearest tenth.
a) 14.5
b) 15.1
c) 16.0
d) 17.3
The cube root of 9 is approximately 2.08. Adding this to 13 gives us 15.08. Rounding to the nearest tenth gives us 15.1.
The correct answer is b) 15.1.
Write 280,000,000 in scientific notation.
a) 0.28 × 109
b) 28 × 108
c) 2.8 × 108
d) 2.8 × 109
To write 280,000,000 in scientific notation, we move the decimal point 8 places to the left to make it a number between 1 and 10. Therefore, it becomes 2.8. The exponent is then 8, since we moved the decimal point 8 places.
The correct answer is c) 2.8 × 10^8.
Find the sum of (2.8 × 10−9) and (9.1 × 10−10). Write the final answer in scientific notation.
a) 11.9 × 10−19
b) 1.19 × 10−18
c) 3.71 × 10−10
d) 3.71 × 10−9
To add (2.8 × 10^-9) and (9.1 × 10^-10), we need to make sure the exponents are the same. We can do this by changing (9.1 × 10^-10) to (0.91 × 10^-9).
Now we can add the two numbers:
(2.8 × 10^-9) + (0.91 × 10^-9) = (2.8 + 0.91) × 10^-9 = 3.71 × 10^-9.
The correct answer is d) 3.71 × 10^-9.
The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
a) 0.46 × 109 dollars
b) 2.8756 × 109 dollars
c) 4.6 × 1011 dollars
d) 2.8756 × 1011 dollars
To find the difference between the football team's total payroll and the baseball team's total payroll, we subtract the baseball team's total payroll from the football team's total payroll.
(2.9 × 10^11) - (2.44 × 10^9) = (2.9 - 0.0244) × 10^11 = 2.8756 × 10^11
The correct answer is d) 2.8756 × 10^11 dollars.
How many times larger is 6.255 × 1010 than 1.5 × 108?
a) 4.17
b) 24.0
c) 240
d) 417
To find out how many times larger one number is than another, we can divide the larger number by the smaller number.
(6.255 × 10^10) / (1.5 × 10^8) = (6.255 / 1.5) × 10^(10-8) = 4.17 × 10^2
So, 6.255 × 10^10 is 417 times larger than 1.5 × 10^8.
The correct answer is d) 417.
To approximate the value of 13 plus the cube root of 9 to the nearest tenth, we can follow these steps:
1. Calculate the cube root of 9:
- The cube root of 9 is approximately 2.08 (rounded to two decimal places).
2. Add the result from step 1 to 13:
- 13 + 2.08 = 15.08 (rounded to two decimal places).
3. Round the result to the nearest tenth:
- Since the first decimal digit after the tenths place is 0, we leave the tenths place as it is.
- Therefore, 15.08 can be rounded to 15.1.
So, the answer is option (b) 15.1.