Answer:
1. 4.5 x 10^5
2. Reflection
3. 10^16
4. t = 4
5. 230
6. 0
7. 1/2x^2
Step-by-step explanation:
1. There are 4 zereos in the number, and in order to convert something to scientific notation, there has to be a decimal that is less than 10, so you would convert the 45 to 4.5. The number of places to move over from the decimal in 4.5 to the end of the number 450,000 is 5, so it would be 10 to the 5th power (10^5).
2. A reflection is when a shape is flipped across an invisible line. Imagine a vertical line. If you took the triangle on the left and flipped it over the line, you would get the triangle on the right, so it's a reflection.
3. When multiplying two powers of 10 like this, you just add the exponents. So your answer would be 10^(7+9) = 10^16.
4. Start by multiplying both sides by 5.
t + 16 = 20
Then subtract 16 from both sides. And you get...
t = 4
5. 4.4 + 0.2 = 4.6 so then divide that number by 0.02. Remember, when dividing a number by another number that is less than one, the answer will be bigger than the original number. 4.6 / 0.02 = 230
6. Exponents represent the number of times you multiply the original number. So 5^1 is just 5 since you don't multiply it by 5 again. 3^2 = 3 * 3 = 9. 4^0 is 1 because all numbers to the 0th power are 1. Take all of these numbers and add/subtract accordingly. Remember PEMDAS, so the 5*3 is multiplied before it is subtracted.
5 + 9 + 1 = 15
15 - (5*3) = 0
7. The two x^3 on the bottom can be added together to create 2x^3. Then you can cancel out x^2 from both the top and bottom.
x^2/(2x^3) = 1/2x^2
