Studdy AI Logo
Math

QuestionDivide 90000 by 0.003 and write the answer in decimal form.

Studdy Solution

STEP 1

Assumptions1. We are given the fraction 9×1043×10−3\frac{9 \times10^{4}}{3 \times10^{-3}} and we need to divide and write the answer in decimal notation.

STEP 2

First, we can simplify the fraction by dividing the numerator and the denominator separately.
9×104×10−=9×10410−\frac{9 \times10^{4}}{ \times10^{-}} = \frac{9}{} \times \frac{10^{4}}{10^{-}}

STEP 3

Now, divide9 by3.
93=3\frac{9}{3} =3

STEP 4

Next, divide 10410^{4} by 10−310^{-3}. When dividing powers with the same base, we subtract the exponent of the denominator from the exponent of the numerator.
10410−3=104−(−3)=104+3=107\frac{10^{4}}{10^{-3}} =10^{4 - (-3)} =10^{4 +3} =10^{7}

STEP 5

Now, multiply the results from step3 and step4.
3×1073 \times10^{7}

STEP 6

Finally, we write the answer in decimal notation. 1010^{} means that we move the decimal point places to the right.
3×10=300000003 \times10^{} =30000000So, 9×1043×10−3=30000000\frac{9 \times10^{4}}{3 \times10^{-3}} =30000000 in decimal notation.

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