ccss 6th grade math
review 10a
1. 2.17 • 0.05 =
2. $\sqrt5{53.45}$
3. $\sqrt0.6{7.5}$
4. convert each fraction to a decimal.
$\frac{1}{3}$ = $\frac{1}{6}$ =
5. convert each decimal to a fraction in simplest form.
0.5 = 0.25 =
6. what is the lcm of 4 and 10?
7. 12 girls and 20 boys signed up to play in a basketball tournament. each team needs to have an equal number of girls and boys. what is the greatest number of teams possible?
8. $3\frac{1}{8} \cdot \frac{1}{5}$ =
9. $\frac{1}{4} \div \frac{1}{5}$ =
10. use the box plot below to answer the following question:
which quartile has the greatest range?

Question

Accepted Answer

### Question 1: $ 2.17 \times 0.05 $
# Explanation:
## Step1: Multiply the numbers ignoring decimals
$ 217 \times 5 = 1085 $
## Step2: Count decimal places (2 + 2 = 4)
$ 2.17 \times 0.05 = \frac{1085}{10000} = 0.1085 $
# Answer:
$ 0.1085 $

### Question 2: $ \sqrt[5]{53.45} $ (assuming it's division $ 53.45 \div 5 $)
# Explanation:
## Step1: Divide 53 by 5
$ 5 \times 10 = 50 $, remainder $ 3 $
## Step2: Bring down 4 (make it 34)
$ 34 \div 5 = 6 $, remainder $ 4 $
## Step3: Bring down 5 (make it 45)
$ 45 \div 5 = 9 $, remainder $ 0 $
## Step4: Add decimal point and zeros if needed (not here)
$ 53.45 \div 5 = 10.69 $
# Answer:
$ 10.69 $

### Question 3: $ 7.5 \div 0.6 $
# Explanation:
## Step1: Multiply numerator and denominator by 10 to eliminate decimals
$ \frac{7.5 \times 10}{0.6 \times 10} = \frac{75}{6} $
## Step2: Divide 75 by 6
$ 75 \div 6 = 12.5 $
# Answer:
$ 12.5 $

### Question 4: Convert fractions to decimals
#### $ \frac{1}{3} $
# Explanation:
## Step1: Divide 1 by 3
$ 1 \div 3 = 0.\overline{3} $ (repeating decimal)
# Answer:
$ 0.\overline{3} $

#### $ \frac{1}{6} $
# Explanation:
## Step1: Divide 1 by 6
$ 1 \div 6 = 0.1\overline{6} $ (repeating decimal)
# Answer:
$ 0.1\overline{6} $

### Question 5: Convert decimals to fractions
#### $ 0.5 $
# Explanation:
## Step1: Write as $ \frac{5}{10} $
## Step2: Simplify (divide numerator and denominator by 5)
$ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} $
# Answer:
$ \frac{1}{2} $

#### $ 0.25 $
# Explanation:
## Step1: Write as $ \frac{25}{100} $
## Step2: Simplify (divide numerator and denominator by 25)
$ \frac{25 \div 25}{100 \div 25} = \frac{1}{4} $
# Answer:
$ \frac{1}{4} $

### Question 6: LCM of 4 and 10
# Explanation:
## Step1: Prime factors of 4: $ 2^2 $
## Step2: Prime factors of 10: $ 2 \times 5 $
## Step3: LCM is product of highest powers: $ 2^2 \times 5 = 20 $
# Answer:
$ 20 $

### Question 7: Greatest number of teams (GCD of 12 and 20)
# Explanation:
## Step1: Factors of 12: $ 1, 2, 3, 4, 6, 12 $
## Step2: Factors of 20: $ 1, 2, 4, 5, 10, 20 $
## Step3: Common factors: $ 1, 2, 4 $, greatest is 4
# Answer:
$ 4 $

### Question 8: $ 3\frac{1}{8} \times \frac{1}{5} $
# Explanation:
## Step1: Convert mixed number to improper fraction
$ 3\frac{1}{8} = \frac{25}{8} $
## Step2: Multiply fractions
$ \frac{25}{8} \times \frac{1}{5} = \frac{25 \times 1}{8 \times 5} = \frac{5}{8} = 0.625 $
# Answer:
$ \frac{5}{8} $ (or $ 0.625 $)

### Question 9: $ \frac{1}{4} \div \frac{1}{5} $
# Explanation:
## Step1: Dividing by a fraction is multiplying by its reciprocal
$ \frac{1}{4} \times \frac{5}{1} = \frac{5}{4} = 1.25 $
# Answer:
$ \frac{5}{4} $ (or $ 1.25 $)

### Question 10: Quartile with greatest range (from box plot)
# Explanation:
## Step1: Analyze the box plot segments
- Q1: from 5 to 10 (range $ 10 - 5 = 5 $)
- Q2: from 10 to 25 (range $ 25 - 10 = 15 $)
- Q3: from 25 to 30 (range $ 30 - 25 = 5 $)
- Q4: from 30 to 55 (range $ 55 - 30 = 25 $)
## Step2: Compare ranges, Q4 has the largest range
# Answer:
$ Q4 $

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Question 1: \( 2.17 \times 0.05 \)

Step1: Multiply the numbers ignoring decimals

Step2: Count decimal places (2 + 2 = 4)

Step1: Divide 53 by 5

Step2: Bring down 4 (make it 34)

Step3: Bring down 5 (make it 45)

Step4: Add decimal point and zeros if needed (not here)

Step1: Multiply numerator and denominator by 10 to eliminate decimals

Step2: Divide 75 by 6

Answer:

Question 2: \( \sqrt[5]{53.45} \) (assuming it's division \( 53.45 \div 5 \))