We included HMH Into Math Grade 5 Answer Key PDF Module 8 Review to make students experts in learning maths.
HMH Into Math Grade 5 Module 8 Review Answer Key
Concepts and Skills
Question 1.
Use Tools Of the 10 dancers at the international dance competition, \(\frac{3}{5}\) of them are from Asia. How many dancers are from Asia? Tell what strategy or tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
The number of dancers from Asia is 6 dancers.
Explanation:
Given that of the 10 dancers at the international dance competition, \(\frac{3}{5}\) of them are from Asia. So the number of dancers from Asia is \(\frac{3}{5}\) × 10 which is 6 dancers.
Question 2.
At the beach, Mae fills 6 buckets with sand. She uses \(\frac{2}{3}\) of the sand in the buckets to make a sand castle. How many buckets of sand does Mae use to build the sand castle?
Answer:
The number of buckets of sand Mae use to build the sandcastle is 4 buckets.
Explanation:
Given that Mae fills 6 buckets with sand and she uses \(\frac{2}{3}\) of the sand in the buckets to make a sandcastle. So the number of buckets of sand Mae use to build the sandcastle is \(\frac{2}{3}\) × 6 which is 4 buckets.
Question 3.
How could you use a visual model to show \(\frac{3}{10}\) × 5? Explain.
Answer:
\(\frac{3}{10}\) × 5 = 6.
Explanation:
Given the equation is \(\frac{3}{10}\) × 5 which is 6.
Question 4.
Mr. Diaz is 50 years old. Ms. Lowe is \(\frac{4}{5}\) as old as Mr. Diaz. Who is younger, Mr. Diaz or Ms. Lowe? Explain.
Answer:
Ms. Lowe is younger.
Explanation:
Given that Mr. Diaz is 50 years old and Ms. Lowe is \(\frac{4}{5}\) as old as Mr. Diaz. So Ms. Lowe is \(\frac{4}{5}\) × 50 which is 4 × 10 = 40 years. So Ms. Lowe is younger.
Question 5.
Overnight, \(\frac{1}{2}\) foot of snow fell. By noon the next day, \(\frac{1}{4}\) of the fallen snow had melted. How much snow had melted? Use the number line to find the answer. _________
Answer:
The snow melted is \(\frac{1}{2}\).
Explanation:
Given that overnight \(\frac{1}{2}\) foot of snow fell and by noon the next day, \(\frac{1}{4}\) of the fallen snow had melted. So the snow melted is \(\frac{1}{2}\) – \(\frac{1}{4}\) which is \(\frac{4-2}{4}\) = \(\frac{1}{2}\).
Question 6.
Draw an area model to find the area of a tile that measures \(\frac{1}{4}\) inch by \(\frac{1}{4}\) inch.
Answer:
Question 7.
A speckled padloper turtle weighs \(\frac{5}{16}\) pound. A pygmy mouse lemur weighs \(\frac{2}{5}\) of the weight of the speckled padloper turtle. What is the weight of the pygmy mouse lemur?
A. \(\frac{10}{80}\) pound
B. \(\frac{25}{32}\) pound
C. \(\frac{3}{16}\) pound
D. \(\frac{1}{2}\) pound
Answer:
\(\frac{7}{80}\) pounds.
Explanation:
Given that a speckled padloper turtle weighs \(\frac{5}{16}\) pound and pygmy mouse lemur weighs \(\frac{2}{5}\) of the weight of the speckled padloper turtle. So the weight of the pygmy mouse lemur is \(\frac{2}{5}\) – \(\frac{5}{16}\) which is \(\frac{32-25}{80}\) which is \(\frac{7}{80}\) pounds.
Question 8.
Jamal is building a playhouse for cats. The first level measures \(\frac{3}{4}\) yard by \(\frac{1}{2}\) yard. The second level measures \(\frac{2}{3}\) yard by \(\frac{3}{8}\) yard. Jamal wants to carpet both levels. How many square yards of carpeting does he need?
Answer:
Given that the first level measures \(\frac{3}{4}\) yard by \(\frac{1}{2}\) yard and the second level measures \(\frac{2}{3}\) yard by \(\frac{3}{8}\) yard. So the number of square yards of carpeting does he need is
Question 9.
Select all the expressions that have a value less than 9,721.
A. \(\frac{3}{4}\) × 9,721
B. \(\frac{4}{3}\) × 9,721
C. \(\frac{2}{3}\) × 9,721
D. 1\(\frac{3}{4}\) × 9,721
E. 3 × 9,721
F. \(\frac{3}{2}\) × 9,721
Answer:
C.
Explanation:
Given that expression is 9,721. So the expression that is less than 9,721 is \(\frac{2}{3}\) × 9,721.