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5 votes
Convert to scientific notation:

A) 65200
B) 700,000,000
C) 0.0000063
D) 8.2

1 Answer

1 vote

Answer:

6.52*10^4

7*10^8

6.3*10^-6

8.2*10^0

Explanation:

Every time, determine a value in the original number that is between 0 and 10, and then count the digits from the original number to your new value! Let's go through these 4.

65200. 6.52 is the value between 0 and 10. Now count the decimal places required to move from 6.52 to 65200. You move the decimal point 4 times to the right. so it's 6.52*10^4, which is the same as 6.52 * 10000, which also equals 65200.

In the second one, 7 is the value between 0 and 10, and you move 8 digits to the right when going between 7 and 700,000,000. This one you can even count the zeroes in. The answer is nonetheless 7*10^8

If the original number is a lot smaller, you mark the exponent of the 10 as negative. From 6.3 to 0.0000063, you move the decimal point 6 times to the LEFT, so it's 6.3*10^-6

8.2 is already good, but you just multiply it by 10^0, and 10^0 is just 1, so 8.2*1 = 8.2

User Kalimah
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