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## Texas Go Math Grade 4 Module 4 Assessment Answer Key

**vocabulary**

- benchmark
- numerator
- simplest form

**Choose the best term from the box.**

Question 1.

A ________________ is a known size or amount that you understand another size or amount.

Answer: benchmark

Explanation:

A benchmark is a known size or amount that helps you understand a different size or amount. You can use 1/2 as a benchmark to help you compare fractions.

Concepts and skills

Compare. Write <, > or =.

Question 2.

\(\frac{7}{8}\) _____________ \(\frac{7}{12}\)

Answer: \(\frac{7}{8}\) > \(\frac{7}{12}\)

Explanation:

\(\frac{7}{8}\) = 0.87

\(\frac{7}{12}\) =0.58

So 0.87>0.58

Question 3.

\(\frac{10}{12}\) _____________ \(\frac{5}{6}\)

Answer: \(\frac{10}{12}\) = \(\frac{5}{6}\)

Explanation:

\(\frac{10}{12}\) simplest form is \(\frac{5}{6}\)

So \(\frac{10}{12}\) and \(\frac{5}{6}\) are equal

Question 4.

\(\frac{1}{2}\) _____________ \(\frac{3}{10}\)

Answer: \(\frac{1}{2}\)> \(\frac{3}{10}\)

Explanation:

\(\frac{1}{2}\) =0.5

\(\frac{3}{10}\) =0.3

so 0.5>0.3

Question 5.

\(\frac{1}{4}\) _____________ \(\frac{2}{3}\)

Answer: \(\frac{1}{4}\) < \(\frac{2}{3}\)

Explanation:

\(\frac{1}{4}\) = 0.25

\(\frac{2}{3}\) =0.73

So 0.25 <0.73

Question 6.

\(\frac{2}{3}\) _____________ \(\frac{4}{7}\)

Answer: \(\frac{2}{3}\) >\(\frac{4}{7}\)

Explanation:

\(\frac{2}{3}\) = 0.65

\(\frac{4}{7}\) = 0.57

So 0.65 > 0.57

Question 7.

\(\frac{5}{14}\) _____________ \(\frac{10}{14}\)

Answer: \(\frac{5}{14}\) <\(\frac{10}{14}\)

Explanation:

\(\frac{5}{14}\) = 0.35

\(\frac{10}{14}\) = 0.71

So 0.35 < 0.71

Question 8.

\(\frac{1}{4}\) _____________ \(\frac{4}{7}\)

Answer: \(\frac{1}{4}\) < \(\frac{4}{7}\)

Explanation:

\(\frac{1}{4}\) = 0.25

\(\frac{4}{7}\) = 0.57

So 0.25 < 0.57

Question 9.

\(\frac{6}{8}\) _____________ \(\frac{1}{3}\)

Answer: \(\frac{6}{8}\)> \(\frac{1}{3}\)

Explanation:

\(\frac{6}{8}\) = 0.75

\(\frac{1}{3}\) = 0.33

So 0.75 > 0.33

**Write the fractions in order from least to greatest.**

Question 10.

\(\frac{2}{3}, \frac{3}{4}, \frac{1}{6}\)

Answer: \(\frac{1}{6}\), \(\frac{2}{3}\), \(\frac{3}{4}\)

Explanation:

\(\frac{2}{3}\)= 0.66

\(\frac{3}{4}\) = 0.75

\(\frac{1}{6}\) = 0.16

So order from least to greatest is \(\frac{1}{6}\), \(\frac{2}{3}\), \(\frac{3}{4}\)

Question 11.

\(\frac{7}{10}, \frac{4}{5}, \frac{1}{2}, \frac{4}{12}\)

Answer: \(\frac{4}{12}\), \(\frac{1}{2}\), \(\frac{7}{10}\), \(\frac{4}{5}\)

Explanation:

\(\frac{7}{10}\)= 0.7

\(\frac{4}{5}\) = 0.8

\(\frac{1}{2}\) = 0.5

\(\frac{4}{12}\) = 0.33

So order from least to greatest is \(\frac{4}{12}\), \(\frac{1}{2}\), \(\frac{7}{10}\), \(\frac{4}{5}\)

**Write the fraction or decimal to show their distances from zero.**

Question 12.

Answer:

Question 13.

Answer:

**Fill in the bubble completely to show your answer.**

Question 14.

Paco needs more than \(\frac{3}{8}\) yard of twine to build a model ship. How much twine could he buy?

(A) \(\frac{3}{10}\)yard

(B) \(\frac{1}{4}\)yard

(C) \(\frac{3}{5}\)yard

(D) \(\frac{1}{8}\)yard

Answer: (C) \(\frac{3}{5}\)yard

Explanation

\(\frac{3}{8}\) =0.38

\(\frac{3}{10}\) =0.33

\(\frac{1}{4}\) =0.25

\(\frac{3}{5}\) =0.6

latex]\frac{1}{8}[/latex]=0.12

Paco needs more than 0.38 yard of twine to build a model ship. So he needs to buy \(\frac{3}{5}\) yards which is 0.6

Question 15.

Rachel, Nancy, and Diego were in a fishing competition. Rachel’s

fish was \(\frac{7}{8}\) foot long, Nancy’s fish was \(\frac{1}{4}\) foot long, and Diego’s fish was \(\frac{1}{2}\) foot long. Which shows the correct comparison of the lengths of Rachel and Diego’s fish?

(A) \(\frac{1}{4}\) foot = \(\frac{7}{8}\)foot

(B) \(\frac{1}{2}\) foot > \(\frac{7}{8}\)foot

(C) \(\frac{1}{2}\) foot = \(\frac{7}{8}\)foot

(D) \(\frac{1}{2}\) foot < \(\frac{7}{8}\)foot

Answer: (D) \(\frac{1}{2}\) foot < \(\frac{7}{8}\)foot

Explanation:

\(\frac{7}{8}\) = 0.88

\(\frac{1}{4}\) = 0.25

\(\frac{1}{2}\) =0.5

So \(\frac{1}{2}\) foot < \(\frac{7}{8}\)foot is correcct

Question 16.

Amy needs \(\frac{6}{8}\) gallon of fruit juice to make punch. She needs an equal amount (JI sparkling water. How much sparkling water does she need?

(A) \(\frac{2}{3}\) gallon

(B) \(\frac{1}{2}\) gallon

(C) \(\frac{2}{8}\) gallon

(D) \(\frac{3}{4}\) gallon

Answer:

Question 17.

Bill has enough money to buy less than pound of cheese. How much cheese coUld Bill buy?

(A) \(\frac{4}{6}\) pound

(B) \(\frac{5}{8}\) pound

(C) \(\frac{1}{3}\) pound

(D) \(\frac{3}{4}\) pound

Answer: (D) \(\frac{3}{4}\) pound

Explanation:

\(\frac{4}{6}\) pound = 0.66

\(\frac{5}{8}\) pound = 0.62

latex]\frac{1}{3}[/latex] pound = 0.33

\(\frac{3}{4}\) pound = 0.74

So Bill can buy \(\frac{3}{4}\) pound