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Number system worksheet for Grade 4/Year 5 students, covering number writing, place value, standard form, and decimal operations.

Worksheet titled "Unit 1 - The Number System" for Grade 4/Year 5, featuring exercises on writing numbers in digits, identifying decimal place values, converting to standard form, and multiplication/division by powers of 10.

Worksheet titled "Unit 1 - The Number System" for Grade 4/Year 5, featuring exercises on writing numbers in digits, identifying decimal place values, converting to standard form, and multiplication/division by powers of 10.

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Show Answer Key & Explanations Step-by-step solution for: The Number System worksheet
Let's solve the problems step by step.

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Q1) Write these numbers in digits.



#### a) One hundred and twenty-five thousand three hundred and sixty-two.
- Break it down:
- "One hundred and twenty-five thousand" = 125,000
- "Three hundred and sixty-two" = 362
- Combine them: 125,000 + 362 = 125,362

Answer: 125,362

#### b) Seven hundred sixty thousand four hundred and three.
- Break it down:
- "Seven hundred sixty thousand" = 760,000
- "Four hundred and three" = 403
- Combine them: 760,000 + 403 = 760,403

Answer: 760,403

#### c) Sixteen point zero five.
- This is already in decimal form: 16.05

Answer: 16.05

#### d) Twenty-five point six two.
- This is already in decimal form: 25.62

Answer: 25.62

---

Q2) What is the value of the underlined digit in these numbers.



#### a) 23 458
- The underlined digit is 4.
- According to the place value chart, 4 is in the Hundreds place.
- Value = 4 × 100 = 400

Answer: 400

#### b) 436.87
- The underlined digit is 8.
- According to the place value chart, 8 is in the Tenths place.
- Value = 8 × 0.1 = 0.8

Answer: 0.8

#### c) 735,892
- The underlined digit is 8.
- According to the place value chart, 8 is in the Thousands place.
- Value = 8 × 1,000 = 8,000

Answer: 8,000

#### d) 87.562
- The underlined digit is 6.
- According to the place value chart, 6 is in the Hundredths place.
- Value = 6 × 0.01 = 0.06

Answer: 0.06

---

Q3) Write the following number in standard form.



\[ 800,000 + 60,000 + 3,000 + 200 + 70 + 9 \]

- Add all the parts together:
\[
800,000 + 60,000 + 3,000 + 200 + 70 + 9 = 863,279
\]

Answer: 863,279

---

Q4) Find the missing number.



#### a) \( 83.24 \times 10 \)
- When multiplying by 10, move the decimal point one place to the right:
\[
83.24 \times 10 = 832.4
\]

Answer: 832.4

#### b) \( 789.23 \div 10 \)
- When dividing by 10, move the decimal point one place to the left:
\[
789.23 \div 10 = 78.923
\]

Answer: 78.923

#### c) \( 35 \times 1000 \)
- Multiply 35 by 1,000:
\[
35 \times 1000 = 35,000
\]

Answer: 35,000

#### d) \( 5693 \div 100 \)
- When dividing by 100, move the decimal point two places to the left:
\[
5693 \div 100 = 56.93
\]

Answer: 56.93

#### e) \( 67.234 \times 100 \)
- When multiplying by 100, move the decimal point two places to the right:
\[
67.234 \times 100 = 6723.4
\]

Answer: 6723.4

---

Final Answers:



1. a) 125,362
b) 760,403
c) 16.05
d) 25.62

2. a) 400
b) 0.8
c) 8,000
d) 0.06

3. 863,279

4. a) 832.4
b) 78.923
c) 35,000
d) 56.93
e) 6723.4

---

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Q1:} \quad \text{a) } 125,362, \quad \text{b) } 760,403, \quad \text{c) } 16.05, \quad \text{d) } 25.62 \\
\text{Q2:} \quad \text{a) } 400, \quad \text{b) } 0.8, \quad \text{c) } 8,000, \quad \text{d) } 0.06 \\
\text{Q3:} \quad 863,279 \\
\text{Q4:} \quad \text{a) } 832.4, \quad \text{b) } 78.923, \quad \text{c) } 35,000, \quad \text{d) } 56.93, \quad \text{e) } 6723.4
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of number system worksheet.
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