Here are the solutions to the questions provided in the worksheet:

Classwork Section

1. Round off to the nearest whole number:

   • $a. \ 4.5 \rightarrow 5$
   • $b. \ 6.7 \rightarrow 7$
   • $c. \ 4.8 \rightarrow 5$

2. Odd Fraction Identification:

   • Fractions: $\frac{5}{10}, \frac{6}{12}, \frac{7}{21}, \frac{8}{16}$
   • Explanation: $\frac{7}{21}$ is the odd fraction because it cannot be simplified to a form where both the numerator and denominator are even numbers, unlike the others.

3. Divide 22 by 4 as a Mixed Fraction:

   • $22 \div 4 = 5 \ \text{remainder} \ 2$
   • Mixed Fraction: $5 \frac{2}{4} = 5 \frac{1}{2}$

4. Decimal to Words:

   • $a. \ 126.78 = \text{"One hundred twenty-six point seven eight"}$
   • $b. \ 45.34 = \text{"Forty-five point three four"}$

5. Place Value of 6 in 451.65:

   • The place value of 6 is 0.6 (tenths).

6. Regroup 24.44 into Three Parts:

   • Possible regrouping examples: $10 + 10 + 4.44$, $20 + 2 + 2.44$, or $5 + 15 + 4.44$.

7. Mass of Sanchia's Bag of Apples:

   • Mass options could be between 9.25 kg to just under 9.35 kg, such as 9.3 kg, since this rounds to 9 kg to the nearest kg and 9.3 to the nearest tenth.

8. Complete the Calculations:

   • $a. \ 4.5 \times 10 = 45$
   • $b. \ 7.8 \div 100 = 0.078$
   • $c. \ 34.6 \times 10 = 346 \times 10 = 3460 \times 10 = 34600$
   • $d. \ 56.6 \div 10 = 5.66 \times 10 = 56.6 \div 10 = 5.66$

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Homework Practice Questions

1. Round off to the nearest whole number:

   • $a. \ 7.8 \rightarrow 8$
   • $b. \ 6.3 \rightarrow 6$
   • $c. \ 9.3 \rightarrow 9$

2. Odd Fraction Identification:

   • Fractions: $\frac{7}{28}, \frac{6}{24}, \frac{1}{4}, \frac{3}{9}$
   • Explanation: $\frac{3}{9}$ is the odd fraction because it is not equivalent to 0.25, unlike the other fractions.

3. Divide 28 by 3 as a Mixed Fraction:

   • $28 \div 3 = 9 \ \text{remainder} \ 1$
   • Mixed Fraction: $9 \frac{1}{3}$

4. Decimal to Words:

   • $a. \ 56.78 = \text{"Fifty-six point seven eight"}$
   • $b. \ 102.45 = \text{"One hundred two point four five"}$

5. Place Value of 8 in 451.6:

   • The place value of 8 is 0.08 (hundredths).

6. Regroup 86.45 into Three Parts:

   • Possible regrouping examples: $80 + 6 + 0.45$, $50 + 30 + 6.45$, or $40 + 40 + 6.45$.

7. Mass of Sanchia's Bag of Oranges:

   • Possible values between 2.15 kg and 2.25 kg, with 2.2 kg being the most suitable for rounding criteria.

8. Complete the Calculations:

   • $a. \ 56.5 \times 10 = 565$
   • $b. \ 1.78 \div 10 = 0.178$
   • $c. \ 5.02 \times 10 = 50.2 \times 10 = 502 \div 10 = 50.2$
   • $d. \ 896.4 \div 100 = 8.964 \times 10 = 89.64 \div 10 = 8.964$

Would you like additional explanations or have any specific questions about these solutions?

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1. What are other ways to regroup numbers into different parts?
2. Why does rounding decimals differ when rounding to whole numbers versus tenths?
3. How can one identify equivalent fractions among various options?
4. What is the difference between place value and face value of digits?
5. How is decimal division different from multiplication in terms of place value shifts?

Tip: When converting fractions to decimals, checking for common divisors helps simplify quickly!