Into Math Grade 6 Module 2 Answer Key Rational Number Concepts

We included HMH Into Math Grade 6 Answer Key PDF Module 2 Rational Number Concepts to make students experts in learning maths.

HMH Into Math Grade 6 Module 2 Answer Key Rational Number Concepts

Which Fraction Does Not Belong?

Pizza slices are left over from a party. Each whole pizza was the same size, but was cut into a different number of equal slices.

For each pizza, write a fraction that represents the part of the pizza that is left over.

A. Cheese pizza _____

Answer:
\(\frac{2}{8}\) = \(\frac{1}{4}\).

Explanation:
A fraction that represents the part of the pizza that is left over is \(\frac{1}{4}\).

B. Mushroom pizza _____

Answer:
\(\frac{1}{4}\).

Explanation:
A fraction that represents the part of the pizza that is left over is \(\frac{1}{4}\).

C. Olive pizza _____
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Answer:
\(\frac{2}{10}\) = \(\frac{1}{5}\)

Explanation:
A fraction that represents the part of the pizza that is left over is \(\frac{1}{5}\).

D. Spinach pizza

Answer:
\(\frac{3}{12}\) = \(\frac{1}{4}\).

Explanation:
A fraction that represents the part of the pizza that is left over is \(\frac{1}{4}\).

Turn and Talk

• Which fraction does not belong? Explain why.
• Which type of pizza has the least amount left over? Tell how you know.
• Can you make a whole pizza with the leftover pieces? Explain.

Are You Ready?

Complete these problems to review prior concepts and skills you will need for this module.

Multiply or Divide to Find Equivalent Fractions

Multiply or divide to find the equivalent fraction.

Question 1.

Answer:
The answer is 12.

Explanation:
Let us solve the given expression
Now let us assume the given box is x.
\(\frac{4}{5}\) = \(\frac{x}{15}\)
Cross multiply on both sides
4 × 15 = 5 × x
60 = 5x
x = \(\frac{60}{5}\)
x = 12.

Question 2.

Answer:
The answer is 4.

Explanation:
Let us solve the given expression
Now let us assume the given box is x.
\(\frac{9}{12}\) = \(\frac{3}{x}\)
Cross multiply on both sides
9 × x = 3 × 12
9x = 36
x = \(\frac{36}{9}\)
x = 4

Question 3.

Answer:
The answer is 15.

Explanation:
Let us solve the given expression
Now let us assume the given box is x.
\(\frac{5}8}\) = \(\frac{x}{24}\)
Cross multiply on both sides
5 × 24 = 8 × x
120x = 8x
x = \(\frac{120}{8}\)
x = 15

Compare Fractions
Complete the statement using the symbol <, >, or =.

Question 4.
\(\frac{7}{8}\) ____ \(\frac{9}{8}\)
Answer:
<

Explanation:
The symbol used to compare the given decimal is <.
\(\frac{7}{8}\) < \(\frac{9}{8}\).

Question 5.
\(\frac{5}{8}\) ____ \(\frac{5}{9}\)
Answer:
>

Explanation:
First, let us calculate the LCM of 8,9 which is 72
\(\frac{5}{8}\) = \(\frac{45}{72}\)
\(\frac{5}{9}\) = \(\frac{40}{72}\)
\(\frac{45}{72}\) > \(\frac{40}{72}\)
\(\frac{5}{8}\) > \(\frac{5}{9}\)

Question 6.
\(\frac{3}{4}\) ____ \(\frac{5}{6}\)
Answer:
Explanation:
First, let us calculate the LCM of 4,6 which is 12.
\(\frac{3}{4}\) = \(\frac{9}{12}\)
\(\frac{5}{6}\) = \(\frac{10}{12}\)
\(\frac{9}{12}\) < \(\frac{10}{12}\)
\(\frac{3}{4}\) < \(\frac{5}{6}\).

Compare Decimals

Complete the statement using the symbol <, >,or =

Question 7.
0.51 ___ 0.46
Answer:
>

Explanation:
The symbol used to compare the given decimal is >.
0.51 > 0.46

Question 8.
1.073 ____ 1.703
Answer:
<

Explanation:
The symbol used to compare the given decimal is <.
1.073 < 1.703

Question 9.
3.60 ___ 3.6
Answer:
=

Explanation:
The symbol used to compare the given decimal is =.
3.60 = 3.6

Opposites and Absolute Value

Question 10.
Use the number line to complete the table. The first row is completed as shown.

Answer:
A  H  7
C  F   3
D  E   1
G  C -3

Explanation: