Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 22 not yet answered marked out of 1.00 flag question metric co…

Question

question 22
not yet
answered
marked out of
1.00
flag question
metric conversion (include appropriate commas, spaces, and abbreviations):
5,000 g = how many mcg?
answer:
question 23
not yet
answered
marked out of
1.00
flag question
metric conversion (include appropriate commas, spaces, and abbreviations):
5,000 g = how many mg?
answer:
question 24
not yet
answered
marked out of
1.00
flag question
metric conversion (include appropriate commas, spaces, and abbreviations):
5,000 mcg = how many g?
answer:

Explanation:

Question 22

Step1: Recall metric prefixes

We know that \(1\ \text{g} = 10^{9}\ \text{mcg}\) (since \(1\ \text{g}=10^{3}\ \text{mg}\), \(1\ \text{mg} = 10^{3}\ \text{mcg}\), so \(1\ \text{g}=10^{3}\times10^{3}\times10^{3}=10^{9}\ \text{mcg}\)).

Step2: Convert 5,000 g to mcg

Multiply 5,000 by \(10^{9}\). \(5000\times10^{9}=5\times10^{3}\times10^{9}=5\times10^{12}\) mcg. In standard form with commas, it is \(5,000,000,000,000\ \text{mcg}\).

Step1: Recall metric prefixes

We know that \(1\ \text{g}=10^{3}\ \text{mg}\).

Step2: Convert 5,000 g to mg

Multiply 5,000 by \(10^{3}\). \(5000\times10^{3}=5\times10^{3}\times10^{3}=5\times10^{6}\) mg. In standard form with commas, it is \(5,000,000\ \text{mg}\).

Step1: Recall metric prefixes

We know that \(1\ \text{g} = 10^{9}\ \text{mcg}\), so to convert mcg to g, we divide by \(10^{9}\).

Step2: Convert 5,000 mcg to g

\(5000\ \text{mcg}=\frac{5000}{10^{9}}\ \text{g}=5\times10^{3}\times10^{- 9}\ \text{g}=5\times10^{-6}\ \text{g}\). In decimal form, it is \(0.000005\ \text{g}\).

Answer:

\(5,000,000,000,000\ \text{mcg}\)

Question 23