Medical Units into grams
$begingroup$
I'm trying to figure out how to divide a medicine up by millions of units into grams or half grams and figure a group like this who play with various math problems might be able to help:
What I know about it: comes in a container labeled '1BU'
Net Weight is '153 grams'
Potency is '6536 I.U./mg'
Trying to figure out how to convert 3 million units to grams or percentage of grams. Told it maybe .45 grams. Sound about right? Thanks
unit-of-measure
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
$endgroup$
add a comment |
$begingroup$
I'm trying to figure out how to divide a medicine up by millions of units into grams or half grams and figure a group like this who play with various math problems might be able to help:
What I know about it: comes in a container labeled '1BU'
Net Weight is '153 grams'
Potency is '6536 I.U./mg'
Trying to figure out how to convert 3 million units to grams or percentage of grams. Told it maybe .45 grams. Sound about right? Thanks
unit-of-measure
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
$endgroup$
$begingroup$
$6536$ units per mg means $6,536,000$ units per gram which means $1,000,000$ units in $0.15299$ grams and hence 3 millions units in $0.45899$ grams
$endgroup$
– Anvit
Jan 13 at 4:10
$begingroup$
1BU = 1 billion unit = $10^9 {rm unit} = 153{rm g} implies 3 times 10^6 {rm unit} = 153times frac{3times 10^6}{10^9} = 0.459 {rm g}$
$endgroup$
– achille hui
Jan 13 at 15:22
add a comment |
$begingroup$
I'm trying to figure out how to divide a medicine up by millions of units into grams or half grams and figure a group like this who play with various math problems might be able to help:
What I know about it: comes in a container labeled '1BU'
Net Weight is '153 grams'
Potency is '6536 I.U./mg'
Trying to figure out how to convert 3 million units to grams or percentage of grams. Told it maybe .45 grams. Sound about right? Thanks
unit-of-measure
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
$endgroup$
I'm trying to figure out how to divide a medicine up by millions of units into grams or half grams and figure a group like this who play with various math problems might be able to help:
What I know about it: comes in a container labeled '1BU'
Net Weight is '153 grams'
Potency is '6536 I.U./mg'
Trying to figure out how to convert 3 million units to grams or percentage of grams. Told it maybe .45 grams. Sound about right? Thanks
unit-of-measure
unit-of-measure
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
asked Jan 13 at 3:57
jordanbrianjason126jordanbrianjason126
1
1
$begingroup$
$6536$ units per mg means $6,536,000$ units per gram which means $1,000,000$ units in $0.15299$ grams and hence 3 millions units in $0.45899$ grams
$endgroup$
– Anvit
Jan 13 at 4:10
$begingroup$
1BU = 1 billion unit = $10^9 {rm unit} = 153{rm g} implies 3 times 10^6 {rm unit} = 153times frac{3times 10^6}{10^9} = 0.459 {rm g}$
$endgroup$
– achille hui
Jan 13 at 15:22
add a comment |
$begingroup$
$6536$ units per mg means $6,536,000$ units per gram which means $1,000,000$ units in $0.15299$ grams and hence 3 millions units in $0.45899$ grams
$endgroup$
– Anvit
Jan 13 at 4:10
$begingroup$
1BU = 1 billion unit = $10^9 {rm unit} = 153{rm g} implies 3 times 10^6 {rm unit} = 153times frac{3times 10^6}{10^9} = 0.459 {rm g}$
$endgroup$
– achille hui
Jan 13 at 15:22
$begingroup$
$6536$ units per mg means $6,536,000$ units per gram which means $1,000,000$ units in $0.15299$ grams and hence 3 millions units in $0.45899$ grams
$endgroup$
– Anvit
Jan 13 at 4:10
$begingroup$
$6536$ units per mg means $6,536,000$ units per gram which means $1,000,000$ units in $0.15299$ grams and hence 3 millions units in $0.45899$ grams
$endgroup$
– Anvit
Jan 13 at 4:10
$begingroup$
1BU = 1 billion unit = $10^9 {rm unit} = 153{rm g} implies 3 times 10^6 {rm unit} = 153times frac{3times 10^6}{10^9} = 0.459 {rm g}$
$endgroup$
– achille hui
Jan 13 at 15:22
$begingroup$
1BU = 1 billion unit = $10^9 {rm unit} = 153{rm g} implies 3 times 10^6 {rm unit} = 153times frac{3times 10^6}{10^9} = 0.459 {rm g}$
$endgroup$
– achille hui
Jan 13 at 15:22
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Anvil has already given a correct answer in a comment, but here is the calculation in more detail.
Here is how I was taught to do such calculations, long ago:
$$require{cancel} frac{3,000,000 cancel{text{ IU}}}
{6,536 cancel{text{ IU}} / cancel{text{mg}} times 1,000 cancel{text{ mg}}/text{gm}} = 0.4590 text{ gm}$$
The idea is to treat the units of measurement as if they were algebraic variables; so IU in the numerator cancels the IU in the denominator, then the /mg and mg in the numerator cancel, leaving /gm in the denominator. Finally,
$$frac{1}{1/text{gm}} = text{gm}$$
so the unit of measurement of the final result is gm. The rest of the calculation is just arithmetic. The only fact you have to know beyond what is in the problem statement is the conversion factor of 1,000 milligrams per gram.
answered Jan 13 at 15:06
awkwardawkward
5,96011022
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3071690%2fmedical-units-into-grams%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Anvil has already given a correct answer in a comment, but here is the calculation in more detail.
Here is how I was taught to do such calculations, long ago:
$$require{cancel} frac{3,000,000 cancel{text{ IU}}}
{6,536 cancel{text{ IU}} / cancel{text{mg}} times 1,000 cancel{text{ mg}}/text{gm}} = 0.4590 text{ gm}$$
The idea is to treat the units of measurement as if they were algebraic variables; so IU in the numerator cancels the IU in the denominator, then the /mg and mg in the numerator cancel, leaving /gm in the denominator. Finally,
$$frac{1}{1/text{gm}} = text{gm}$$
so the unit of measurement of the final result is gm. The rest of the calculation is just arithmetic. The only fact you have to know beyond what is in the problem statement is the conversion factor of 1,000 milligrams per gram.
answered Jan 13 at 15:06
awkwardawkward
5,96011022
$endgroup$
add a comment |
$begingroup$
Anvil has already given a correct answer in a comment, but here is the calculation in more detail.
Here is how I was taught to do such calculations, long ago:
$$require{cancel} frac{3,000,000 cancel{text{ IU}}}
{6,536 cancel{text{ IU}} / cancel{text{mg}} times 1,000 cancel{text{ mg}}/text{gm}} = 0.4590 text{ gm}$$
The idea is to treat the units of measurement as if they were algebraic variables; so IU in the numerator cancels the IU in the denominator, then the /mg and mg in the numerator cancel, leaving /gm in the denominator. Finally,
$$frac{1}{1/text{gm}} = text{gm}$$
so the unit of measurement of the final result is gm. The rest of the calculation is just arithmetic. The only fact you have to know beyond what is in the problem statement is the conversion factor of 1,000 milligrams per gram.
answered Jan 13 at 15:06
awkwardawkward
5,96011022
$endgroup$
add a comment |
$begingroup$
Anvil has already given a correct answer in a comment, but here is the calculation in more detail.
Here is how I was taught to do such calculations, long ago:
$$require{cancel} frac{3,000,000 cancel{text{ IU}}}
{6,536 cancel{text{ IU}} / cancel{text{mg}} times 1,000 cancel{text{ mg}}/text{gm}} = 0.4590 text{ gm}$$
The idea is to treat the units of measurement as if they were algebraic variables; so IU in the numerator cancels the IU in the denominator, then the /mg and mg in the numerator cancel, leaving /gm in the denominator. Finally,
$$frac{1}{1/text{gm}} = text{gm}$$
so the unit of measurement of the final result is gm. The rest of the calculation is just arithmetic. The only fact you have to know beyond what is in the problem statement is the conversion factor of 1,000 milligrams per gram.
answered Jan 13 at 15:06
awkwardawkward
5,96011022
$endgroup$
Anvil has already given a correct answer in a comment, but here is the calculation in more detail.
Here is how I was taught to do such calculations, long ago:
$$require{cancel} frac{3,000,000 cancel{text{ IU}}}
{6,536 cancel{text{ IU}} / cancel{text{mg}} times 1,000 cancel{text{ mg}}/text{gm}} = 0.4590 text{ gm}$$
The idea is to treat the units of measurement as if they were algebraic variables; so IU in the numerator cancels the IU in the denominator, then the /mg and mg in the numerator cancel, leaving /gm in the denominator. Finally,
$$frac{1}{1/text{gm}} = text{gm}$$
so the unit of measurement of the final result is gm. The rest of the calculation is just arithmetic. The only fact you have to know beyond what is in the problem statement is the conversion factor of 1,000 milligrams per gram.
answered Jan 13 at 15:06
awkwardawkward
5,96011022
answered Jan 13 at 15:06
awkwardawkward
5,96011022
answered Jan 13 at 15:06
awkwardawkward
5,96011022
answered Jan 13 at 15:06
awkwardawkward
5,96011022
5,96011022
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3071690%2fmedical-units-into-grams%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
$6536$ units per mg means $6,536,000$ units per gram which means $1,000,000$ units in $0.15299$ grams and hence 3 millions units in $0.45899$ grams
$endgroup$
– Anvit
Jan 13 at 4:10
$begingroup$
1BU = 1 billion unit = $10^9 {rm unit} = 153{rm g} implies 3 times 10^6 {rm unit} = 153times frac{3times 10^6}{10^9} = 0.459 {rm g}$
$endgroup$
– achille hui
Jan 13 at 15:22