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MAT-144 · In-person sections Exam 1 Review · Unit 1
Exam 1 Review · Q13

Metric conversion with decimal values: two-step problem

Multiply to get the total, then step along the metric ladder. Every metric step is a factor of 1000, so the only real decision is which way the decimal point moves.

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ALEKS randomizes the numbers each attempt, but the question shape stays the same. Here are three example versions you might see.

The ALEKS version

An athlete eats 0.25 kg of protein per week while training. How much will she eat during 7 weeks?

Write your answer in grams. Type just the number.

One step down

A tablet contains 1.4 g of active ingredient.

How many milligrams is that? Type just the number.

Going the other way

A patient takes 3 doses of 250 mg each day for 5 days.

What is the total in grams? Type just the number.

Heads up: Your ALEKS version will use different numbers. The numbers in the practice below are different too — that way you're exercising the move, not memorizing one answer.
1 kg = 1000 g and 1 g = 1000 mg three decimal places per step
to a smaller unit → multiply kilograms to grams makes the number bigger
Metric is friendlier than U.S. Customary here: no 12s, no 5280s, just thousands. But there are two operations in this question, not one — work out the total first, then convert it.
Common slips
(1) Converted before multiplying, then forgot to multiply. Both orders work; skipping a step does not. (2) Moved the decimal the wrong way. Grams are smaller than kilograms, so the number of grams is bigger. (3) Used 100 instead of 1000. Metric mass steps by thousands; centi- does not appear on this question.
Total first, then convert

An athlete eats 0.35 kg of protein per week while training. How much protein will she eat during 8 weeks of training?

Write your answer in grams.

Conversion facts for mass
1 gram (g)= 1000 milligrams (mg)
1 kilogram (kg)= 1000 grams (g)
Step 1

The total, in kilograms

0.35 kg per week, for 8 weeks.
Step 2

Which way to convert?

Kilograms to grams. Is a gram bigger or smaller than a kilogram, and so which operation?
Step 3

Convert it

2.8 kg in grams.