Math

QuestionConvert these numbers to scientific notation:
9. 3,230,000=3,230,000=
10. 0.0000085=0.0000085=
11. 211,700,000,000=2.117×1011211,700,000,000=2.117 \times 10^{11}
12. 0,0000000972=0,0000000972=

Studdy Solution

STEP 1

Assumptions1. We are required to write the given numbers in scientific notation. . In scientific notation, a number is written as the product of two numbers a coefficient and10 raised to a power. The coefficient is always between1 and10 (including1 but excluding10), and the power of10 is an integer.

STEP 2

Let's start with the first number, ,230,000,230,000. We need to move the decimal point to the left until we have a number between1 and10. In this case, we move the decimal point6 places to the left.
,230,000=.23×106,230,000 =.23 \times10^{6}

STEP 3

Next, let's look at the second number, 0.00000850.0000085. Here, we need to move the decimal point to the right until we have a number between1 and10. In this case, we move the decimal point6 places to the right.
0.0000085=8.5×1060.0000085 =8.5 \times10^{-6}

STEP 4

The third number, 211,700,000,000211,700,000,000, has already been converted to scientific notation as 2.117×10112.117 \times10^{11}. So, we don't need to do anything for this number.

STEP 5

Finally, let's look at the last number, 0.00000009720.0000000972. Again, we need to move the decimal point to the right until we have a number between1 and10. In this case, we move the decimal point8 places to the right.
0.0000000972=9.72×1080.0000000972 =9.72 \times10^{-8}So, the numbers in scientific notation are9. 3,230,000=3.23×103,230,000 =3.23 \times10^{}
10. 0.0000085=8.5×100.0000085 =8.5 \times10^{-}
11. 211,700,000,000=2.117×1011211,700,000,000 =2.117 \times10^{11}
12. 0.0000000972=9.72×1080.0000000972 =9.72 \times10^{-8}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord