Texas Go Math Grade 7 Module 5 Answer Key Experimental Probability

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Texas Go Math Grade 7 Module 5 Answer Key Experimental Probability

Texas Go Math Grade 7 Module 5 Are You Ready? Answer Key

Write each fraction in simplest form.

Question 1.
\(\frac{6}{10}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
6 : 1, 2, 3, 6
10 : 1, 2, 5, 10
The greatest common factor is 2.
Divide the numerator and denominator by the greatest common factor.
\(\frac{6 \div 2}{10 \div 2}\) = \(\frac{3}{5}\)

Question 2.
\(\frac{9}{15}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
9 : 1, 3, 9
15 : 1, 3, 5, 15
The greatest common factor is 3.
Divide the numerator and denominator by the greatest common factor.
\(\frac{9 \div 3}{15 \div 34}\) = \(\frac{3}{5}\)

Question 3.
\(\frac{16}{24}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
16 : 1, 2, 4, 8, 16
24 : 1, 2, 3, 4, 6, 8, 12, 24
The greatest common factor is 8.
Divide the numerator and denominator by the greatest common factor.
\(\frac{16 \div 8}{24 \div 8}\) = \(\frac{2}{3}\)

Question 4.
\(\frac{9}{36}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
9 : 1, 3, 9
36 : 1, 2, 3, 4, 6, 9, 12, 18, 36
The greatest common factor is 9.
Divide the numerator and denominator by the greatest common factor.
\(\frac{9 \div 9}{36 \div 9}\) = \(\frac{1}{4}\)

Question 5.
\(\frac{45}{54}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
45 : 1, 3, 5, 9, 15, 45
54 : 1, 2, 3, 6, 9, 18, 27, 54
The greatest common factor is 9.
Divide the numerator and denominator by the greatest common factor.
\(\frac{45 \div 9}{54 \div 9}\) = \(\frac{5}{6}\)

Question 6.
\(\frac{30}{42}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
30 : 1, 2, 3, 5, 6, 10, 15, 30
42 : 1, 2, 3, 6, 7, 14, 21, 42
The greatest common factor is 6.
Divide the numerator and denominator by the greatest common factor.
\(\frac{30 \div 6}{42 \div 6}\) = \(\frac{5}{7}\)

Question 7.
\(\frac{36}{60}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
36 : 1, 2, 3, 4, 6, 9, 12, 18, 36
60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The greatest common factor is 12.
Divide the numerator and denominator by the greatest common factor.
\(\frac{36 \div 12}{60 \div 12}\) = \(\frac{3}{5}\)

Question 8.
\(\frac{14}{42}\) ____________
Answer:
Find the greatest common factor of the numerator and denominator.
List factors of the numerator and denominator.
14 : 1, 2, 7, 14
42 : 1, 2, 3, 6, 7, 14, 21, 42
The greatest common factor is 14.
Divide the numerator and denominator by the greatest common factor.
\(\frac{14 \div 14}{42 \div 14}\) = \(\frac{1}{3}\)

Write each fraction as a decimal.

Question 9.
\(\frac{3}{4}\) ____________
Answer:
Divide 3 by 4. Write a decimal point and insert extra zeros in the dividend.
Texas Go Math Grade 7 Module 5 Answer Key 5
The result is 0.75.

Question 10.
\(\frac{7}{8}\) ____________
Answer:
Divide 7 by 8. Write a decimal point and insert extra zeros in the dividend.
Texas Go Math Grade 7 Module 5 Answer Key 6
The result is 0.875.

Question 11.
\(\frac{3}{20}\) ____________
Answer:
Divide 3 by 20. Write a decimal point and insert extra zeros in the dividend.
Texas Go Math Grade 7 Module 5 Answer Key 7
The result is 0.15.

Question 12.
\(\frac{19}{50}\) ____________
Answer:
Divide 19 by 50. Write a decimal point and insert extra zeros in the dividend.
Texas Go Math Grade 7 Module 5 Answer Key 8
The result is 0.38.

Write each percent as a decimal.

Question 13.
67% ______
Answer:
Write the 67% as the sum of the 1 whole and the percent remainder.
= 100% – 33% Write the percents as a fractions.
= \(\frac{100}{100}\) – \(\frac{33}{100}\) Divide.
= 1 – 0.33 Subtract
= 0.67

Question 14.
31% ______
Answer:
Write the 31% as the sum of the 1 whole and the percent remainder.
= 100% – 69% Write the percents as a fractions.
= \(\frac{100}{100}\) – \(\frac{69}{100}\) Divide.
= 1 – 0.69 Subtract
= 0.31

Question 15.
7% ____________
Answer:
Write the 7% as the sum of the 1 whole and the percent remainder.
= 100% – 93% Write the percents as a fractions.
= \(\frac{100}{100}\) – \(\frac{93}{100}\) Divide.
= 1 – 0.93 Subtract
= 0.7

Question 16.
54% ____________
Answer:
Write the 54% as the sum of the 1 whole and the percent remainder.
= 100% – 46% Write the percents as a fractions.
= \(\frac{100}{100}\) – \(\frac{46}{100}\) Divide.
= 1 – 0.46 Subtract
= 0.54

Write each decimal as a percent.

Question 17.
0.13 ____________
Answer:
Multiply 0.13 by 1. Any number will be the same when multiplied by 1.
0.13 ∙ 1 = 0.13 ∙ \(\frac{100}{100}\) Write 1 as a fraction with the denominator 100.
= \(\frac{13}{100}\) Multiply Write fraction as a percent
= 13%

Question 18.
0.55 ____________
Answer:
Multiply 0.55 by 1. Any number will be the same when multiplied by 1.
0.55 ∙ 1 = 0.55 ∙ \(\frac{100}{100}\) Write 1 as a fraction with the denominator 100.
= \(\frac{55}{100}\) Multiply Write fraction as a percent
= 55%

Question 19.
0.08 ____________
Answer:
Multiply 0.08 by 1. Any number will be the same when multiplied by 1.
0.08 ∙ 1 = 0.08 ∙ \(\frac{100}{100}\) Write 1 as a fraction with the denominator 100.
= \(\frac{8}{100}\) Multiply Write fraction as a percent
= 8%

Question 20.
1.16 ____________
Answer:
Multiply 1.16 by 1. Any number will be the same when multiplied by 1.
1.16 ∙ 1 = 1.16 ∙ \(\frac{100}{100}\) Write 1 as a fraction with the denominator 100.
= \(\frac{116}{100}\) Multiply Write fraction as a percent
= 116%

Texas Go Math Grade 7 Module 5 Reading Start-Up Answer Key

Visualize Vocabulary

Use the ✓ words to complete the graphic. You can put more than one word in each box.
Texas Go Math Grade 7 Module 5 Answer Key 1
Texas Go Math Grade 7 Module 5 Answer Key 2

Understand Vocabulary

Match the term on the left to the definition on the right.
Texas Go Math Grade 7 Module 5 Answer Key 3
Answer:
1 – A. The probability – measures the likelihood that the event will occur.
3 – C. Each observation of an experiment is a trial.
2 – B. A set of one or more outcomes is an event

Active Reading
Pyramid Before beginning the module, create a rectangular pyramid to help you organize what you learn. Label each side with one of the lesson titles from this module. As you study each lesson, write important ideas, such as vocabulary, properties, and formulas, on the appropriate side.
Texas Go Math Grade 7 Module 5 Answer Key 4

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