In her last computer game, Lucy scored 3 times 10 Superscript 7 Baseline points. The first time she tried the game, she scored 6 times 10 Superscript 3 Baseline points.
Question
How many times as many points is Lucy's last score as her first score? Enter the answer in the box.
Lucy's last score is 3 times 10^7 points and her first score is 6 times 10^3 points.
To calculate how many times as many points her last score is, we can divide her last score by her first score:
3 x 10^7 / 6 x 10^3
Simplifying:
= (3/6) x (10^7/10^3)
= 0.5 x 10^4
= 5,000
Therefore, Lucy's last score is 5,000 times as many points as her first score.
Answer: \boxed{5,000}.
To find out how many times as many points Lucy's last score is compared to her first score, we need to divide her last score by her first score.
Lucy's last score: 3 × 10^7 points
Lucy's first score: 6 × 10^3 points
To divide these two scores, we can rewrite them in scientific notation to make it easier:
Lucy's last score: 3 × 10,000,000 points
Lucy's first score: 6 × 1,000 points
Now we can perform the division:
(3 × 10^7) ÷ (6 × 10^3) = (3 ÷ 6) × (10^7 ÷ 10^3) = 0.5 × 10^4
When multiplying 0.5 by 10^4, we move the decimal point 4 places to the right:
0.5 × 10^4 = 5000
Therefore, Lucy's last score is 5000 times her first score.
To find out how many times as many points Lucy's last score is compared to her first score, we need to divide her last score by her first score.
Lucy's last score: 3 × 10^7 points
Lucy's first score: 6 × 10^3 points
To divide these values, we can simply cancel out the common factor of 10^3:
(3 × 10^7) / (6 × 10^3)
Now, let's simplify this expression:
(3/6) × (10^7/10^3)
3 divided by 6 is 0.5, and when we divide powers of 10, we subtract their exponents, so:
0.5 × (10^(7-3))
Simplifying further, the exponent becomes:
0.5 × (10^4)
Now, calculate 10^4:
0.5 × 10,000
The product is:
5,000
Therefore, Lucy's last score is 5,000 times as many points as her first score.