Math / Numbers & Operations

QuestionJelissa and Yari are both computing the product of 0.05 and 0.3. Their work is below: \begin{tabular}{|c|c|} \hline Jelissa's Work & Yari's Work \\ \hline $\frac{5}{100} \times \frac{3}{10}=\frac{15}{1000}$ & $0.05 \times 100=5$ \\ & $0.3 \times 10=3$ \\ & $5 \times 3=15$ \\ & $15 \div 1,000=0.015$ \\ \hline \end{tabular} a. Explain the similarities shown in Jelissa and Yari's work. b. Explain the differences shown in Jelissa and Yari's work.

Studdy Solution

STEP 1

1. Jelissa and Yari are computing the product of $0.05$ and $0.3$ .
2. Both Jelissa and Yari arrive at the same final result.
3. We need to analyze and compare their methods.

STEP 2

1. Identify similarities in Jelissa's and Yari's work.
2. Identify differences in Jelissa's and Yari's work.

STEP 3

Both Jelissa and Yari convert the decimal numbers into fractions or whole numbers to simplify the multiplication process.

STEP 4

Both Jelissa and Yari eventually convert their intermediate results back into a decimal form to express the final product.

STEP 5

Jelissa directly converts the decimals $0.05$ and $0.3$ into fractions $\frac{5}{100}$ and $\frac{3}{10}$ , respectively, and multiplies them.

STEP 6

Yari scales each decimal by a power of ten to convert them into whole numbers, performs the multiplication, and then scales the result back down by dividing by $1,000$ .

STEP 7

Jelissa's method involves working directly with fractions, while Yari's method involves scaling and rescaling using powers of ten.
The similarities in Jelissa's and Yari's work are that both methods involve converting the decimals into a form that simplifies multiplication and both arrive at the same final result of $0.015$ .
The differences are that Jelissa uses fractions to perform the multiplication, while Yari uses scaling by powers of ten to convert decimals into whole numbers before multiplying.

Was this helpful?

Studdy Solution

STEP 1

1. Jelissa and Yari are computing the product of $0.05$ and $0.3$ .
2. Both Jelissa and Yari arrive at the same final result.
3. We need to analyze and compare their methods.

STEP 2

1. Identify similarities in Jelissa's and Yari's work.
2. Identify differences in Jelissa's and Yari's work.

STEP 3

Both Jelissa and Yari convert the decimal numbers into fractions or whole numbers to simplify the multiplication process.

STEP 4

Both Jelissa and Yari eventually convert their intermediate results back into a decimal form to express the final product.

STEP 5

Jelissa directly converts the decimals $0.05$ and $0.3$ into fractions $\frac{5}{100}$ and $\frac{3}{10}$ , respectively, and multiplies them.

STEP 6

Yari scales each decimal by a power of ten to convert them into whole numbers, performs the multiplication, and then scales the result back down by dividing by $1,000$ .

STEP 7

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

1. Jelissa and Yari are computing the product of 0.050.050.05 and 0.30.30.3.2. Both Jelissa and Yari arrive at the same final result.3. We need to analyze and compare their methods.

STEP 2

1. Identify similarities in Jelissa's and Yari's work.2. Identify differences in Jelissa's and Yari's work.

STEP 3

Both Jelissa and Yari convert the decimal numbers into fractions or whole numbers to simplify the multiplication process.

STEP 4

Both Jelissa and Yari eventually convert their intermediate results back into a decimal form to express the final product.

STEP 5

Jelissa directly converts the decimals 0.050.050.05 and 0.30.30.3 into fractions 5100\frac{5}{100}1005​ and 310\frac{3}{10}103​, respectively, and multiplies them.

STEP 6

Yari scales each decimal by a power of ten to convert them into whole numbers, performs the multiplication, and then scales the result back down by dividing by 1,0001,0001,000.

STEP 7

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Jelissa and Yari are computing the product of $0.05$ and $0.3$ .
2. Both Jelissa and Yari arrive at the same final result.
3. We need to analyze and compare their methods.

1. Identify similarities in Jelissa's and Yari's work.
2. Identify differences in Jelissa's and Yari's work.

Jelissa directly converts the decimals $0.05$ and $0.3$ into fractions $\frac{5}{100}$ and $\frac{3}{10}$ , respectively, and multiplies them.

Yari scales each decimal by a power of ten to convert them into whole numbers, performs the multiplication, and then scales the result back down by dividing by $1,000$ .