Question

Rachel has a bag of fruit that has a mass of 50 hectograms. Rachel converts this mass to centigrams. Her work is shown below.

50 hg × 1,000 = 50,000 centigrams


A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
What is Rachel’s error?
She should have multiplied by 10,000.
She should have divided by 1,000.
She moved the decimal point to the right.
She did not make an error.

Answer 1

1st one ( She should have multiplied by 10,000)

Explanation:

Answer 2

She should have multiplied by 10,000

Explanation:

Given table:

`\begin{array}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}`

To find the conversion rate:

`\sf (hecto)/(centi)=(100)/(0.01)=10000`

Therefore, 1 hectogram = 10,000 centigrams

So when converting hectograms to centigrams, multiply the mass by 10,000.

⇒ 50 hg × 10,000 = 500,000 centigrams

Rachel's error was that she should have multiplied by 10,000.