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Math worksheet for Grade 4/Year 5 students focusing on the number system, including place value, decimal operations, and number conversion.

A math worksheet titled "Unit 1 - The Number System" for Grade 4/Year 5 students, featuring exercises on writing numbers in digits, identifying place values, converting to standard form, and performing multiplication and division with decimals.

A math worksheet titled "Unit 1 - The Number System" for Grade 4/Year 5 students, featuring exercises on writing numbers in digits, identifying place values, converting to standard form, and performing multiplication and division with decimals.

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Show Answer Key & Explanations Step-by-step solution for: The Number System worksheet
Let’s go through each question 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:
125,000 (one hundred twenty-five thousand) + 362 (three hundred sixty-two) = 125,362

b) “Seven hundred sixty thousand four hundred and three”
→ 760,000 + 403 = 760,403

c) “Sixteen point zero five”
→ This is a decimal: 16.05

d) “Twenty-five point six two”
→ Decimal: 25.62

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Q2) What is the value of the underlined digit?

We use place value — look at where the digit sits.

a) 23458 → The 4 is in the hundreds place → 400

b) 436.87 → The 8 is in the tenths place → 0.8

c) 735 892 → The 3 is in the ten thousands place → 30,000

d) 87.562 → The 2 is in the thousandths place → 0.002

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Q3) Write the following number in standard form.

800 000 + 60 000 + 3000 + 200 + 70 + 9

Add them up:

800,000
+ 60,000 → 860,000
+ 3,000 → 863,000
+ 200 → 863,200
+ 70 → 863,270
+ 9 → 863,279

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Q4) Find the missing number.

a) 83.24 × 10 → Move decimal one place right → 832.4

b) 789.23 ÷ 10 → Move decimal one place left → 78.923

c) 35 × 1000 → Add three zeros → 35,000

d) 5693 ÷ 100 → Move decimal two places left → 56.93

e) 67.234 × 100 → Move decimal two places right → 6,723.4

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Final Answer:
Q1: a) 125362, b) 760403, c) 16.05, d) 25.62
Q2: a) 400, b) 0.8, c) 30000, d) 0.002
Q3: 863279
Q4: a) 832.4, b) 78.923, c) 35000, d) 56.93, e) 6723.4
Parent Tip: Review the logic above to help your child master the concept of the number system worksheet.
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