Solving Word Problems with Multiple Unit Conversions

PSAT Math · Learn by Concept

Help Questions

PSAT Math › Solving Word Problems with Multiple Unit Conversions

1 - 2

1

How many $\textup{centimeters}$ are in $13\textup { meters?}$

$1\textup,300\textup { centimeters}$

CORRECT

$130\textup { centimeters}$

0

$1.3\textup{ centimeters}$

0

$.0013\textup { centimeters}$

0

$13\textup,000\textup { centimeters}$

0

Explanation

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $1,300\ centimeters$

2

How many $\textup { centimeters}$ are in $5\textup { meters?}$

$500\textup { centimeters}$

CORRECT

$50\textup { centimeters}$

0

$5\textup { centimeters}$

0

$5\textup,000\textup { centimeters}$

0

$1.5\textup { centimeters}$

0

Explanation

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $500\ centimeters$

Return to subject

AI Study CoachYour personal study buddy

Instant TutoringConnect with a tutor now

Request a TutorGet matched with an expert

Live ClassesJoin interactive classes

Question of the DayDaily practice to build your skills

FlashcardsStudy and memorize key concepts

WorksheetsBuild custom practice quizzes

AI SolverStep-by-step problem solutions

Learn by ConceptMaster concepts step by step

Diagnostic TestsAssess your knowledge level

Practice TestsTest your skills with exam questions

GamesLearn through free games