Grade 5 Number System assessment worksheet from Codeyoung, featuring exercises on place value, standard and expanded form, and number ordering.

Let’s go step by step through each question.

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1. Write the place of the red digit. Then write its value.

a. 2,987,654 → The red digit is 9.
Looking at the number:
Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones
2 | 9 | 8 | 7 | 6 | 5 | 4

So, 9 is in the hundred thousands place.
Its value = 9 × 100,000 = 900,000

b. 409,878,545 → The red digit is 9.
Break it down:
Hundred Millions | Ten Millions | Millions | Hundred Thousands | ...
4 | 0 | 9 | 8 | ...

Wait — let’s count from right to left with commas:

409,878,545 → groups are:
- 409 (millions group)
- 878 (thousands group)
- 545 (ones group)

In “409” million part:
4 = hundred millions
0 = ten millions
9 = millions

So 9 is in the millions place.
Value = 9 × 1,000,000 = 9,000,000

✔ Check: Yes, 409 million means 400M + 9M → so 9 is millions.

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2. Write the numbers in standard form.

a. One million seventy thousand and eight.
→ Break it down:
One million = 1,000,000
Seventy thousand = 70,000
Eight = 8
Add them: 1,000,000 + 70,000 + 8 = 1,070,008

b. forty eight thousand nine hundred eighty.
→ Forty eight thousand = 48,000
Nine hundred = 900
Eighty = 80
Add: 48,000 + 900 + 80 = 48,980

Note: No “and” needed here since it’s whole number.

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3. Write in expanded form.

Expanded form means writing each digit times its place value.

a. 6780098

Digits: 6,7,8,0,0,9,8
Places (from left): millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones

So:
6,000,000 + 700,000 + 80,000 + 0 + 0 + 90 + 8
But we skip zeros usually? Actually, expanded form can include zero or not — but better to show all places for clarity.

Actually, standard expanded form writes non-zero parts only unless specified.

But let’s do full:

= 6×1,000,000 + 7×100,000 + 8×10,000 + 0×1,000 + 0×100 + 9×10 + 8×1
But simpler way: just add the values.

So:
6,000,000 + 700,000 + 80,000 + 90 + 8

(We omit the zero thousands and zero hundreds.)

b. 1235765

Digits: 1,2,3,5,7,6,5
Places: millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones

So:
1,000,000 + 200,000 + 30,000 + 5,000 + 700 + 60 + 5

Check:
1M + 200K = 1.2M; +30K=1.23M; +5K=1.235M; +700=1,235,700; +60=1,235,760; +5=1,235,765 ✔

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4. Write in standard form

This means add up the numbers given.

a. 40000000 + 90000 + 600 + 2
= 40,000,000
+ 90,000 → 40,090,000
+ 600 → 40,090,600
+ 2 → 40,090,602

b. 100000000 + 90000000 + 3000000 + 200000 + 300 + 9
Add step by step:

Start: 100,000,000
+90,000,000 = 190,000,000
+3,000,000 = 193,000,000
+200,000 = 193,200,000
+300 = 193,200,300
+9 = 193,200,309

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5. Write the period of underlined digits

Periods are groups of three digits separated by commas: ones, thousands, millions, etc.

a. 678,986 → Underlined: 986 (last three digits)
That’s the ones period.

Wait — actually, in 678,986:

Comma separates thousands and ones.

So:
678 → thousands period
986 → ones period

Underlined is 986 → so ones period

But sometimes people say “period” meaning the name of the group.

Yes — 986 is in the ones period.

b. 567,897,456 → Underlined: 567 (first three digits)

Groups:
567 → millions period
897 → thousands period
456 → ones period

So 567 is in the millions period.

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6. Write in order from smallest to largest.

Wait — there are no numbers listed! Looking back at original image...

Oh — problem 6 says: “Write in order from smallest to largest.” But no numbers are given below it.

Possibly a typo or missing data? In the user’s image, after Q5, Q6 is written but no numbers follow.

Since no numbers are provided, I cannot solve this. Maybe it was cut off?

But wait — perhaps in the original worksheet, numbers were meant to be there. Since they’re not, I’ll note that.

However, looking again — maybe the student forgot to include them? Or perhaps it's implied?

No — in the text you pasted, Q6 has no numbers. So I must assume it’s incomplete.

But to be helpful — if this is an error, perhaps skip or state that.

Alternatively — maybe the numbers are from previous questions? Unlikely.

I think best to say: *Numbers not provided for Question 6.*

But since the instruction is to solve accurately, and no numbers are given, I will leave it blank or note it.

Wait — rechecking your input:

You wrote:

> 6. Write in order from smallest to largest.

And nothing else.

So — I cannot answer without numbers.

But perhaps in the actual image, numbers were present? You said “uploaded an image”, but in text version, it’s missing.

Given that, I’ll proceed with what I have and mark Q6 as incomplete.

But to fulfill the task — maybe it’s a mistake and I should ignore? No.

Alternative: Perhaps the numbers are implied from earlier? Not likely.

I think safest is to complete 1–5 and note 6 is missing data.

But let me double-check your original message.

In your initial prompt, under Q6, it just says:

> 6. Write in order from smallest to largest.

No numbers. So I’ll handle it as such.

Perhaps it’s a formatting error and numbers got lost. Since I can’t guess, I’ll skip solving Q6 and mention it.

But for now, let’s finalize answers for 1–5.

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Final Answers:

1.
a. Place: hundred thousands; Value: 900,000
b. Place: millions; Value: 9,000,000

2.
a. 1,070,008
b. 48,980

3.
a. 6,000,000 + 700,000 + 80,000 + 90 + 8
b. 1,000,000 + 200,000 + 30,000 + 5,000 + 700 + 60 + 5

4.
a. 40,090,602
b. 193,200,309

5.
a. ones period
b. millions period

6. [No numbers provided — unable to solve]

But since the system expects final answer, and Q6 is incomplete, I’ll provide answers for 1–5 and note Q6.

However, perhaps in context, Q6 refers to something else? Let me think.

Wait — maybe the numbers are from Q3 or Q4? For example, ordering 6780098 and 1235765? But that doesn't make sense.

Or perhaps it's a separate list that wasn't copied.

I think best to output what I can.

Final Answer:

1. a. hundred thousands, 900000; b. millions, 9000000
2. a. 1070008; b. 48980
3. a. 6000000 + 700000 + 80000 + 90 + 8; b. 1000000 + 200000 + 30000 + 5000 + 700 + 60 + 5
4. a. 40090602; b. 193200309
5. a. ones; b. millions
6. [Insufficient information]

But to match format, perhaps write numerically.

Also, for Q3, some teachers prefer including zero terms, but typically we omit them.

I think my answers are correct.

Let me verify one more time.

Q1b: 409,878,545 — red 9 is in millions place? Yes: 409 million → 9 is millions digit. Value 9,000,000. Correct.

Q2a: one million seventy thousand eight → 1,000,000 + 70,000 = 1,070,000 + 8 = 1,070,008. Correct.

Q3a: 6780098 → 6M, 700K, 80K, then 0K, 0H, 90, 8 → so 6,000,000 + 700,000 + 80,000 + 90 + 8. Correct.

Q4b: 100M + 90M = 190M; +3M=193M; +200K=193.2M; +300=193,200,300; +9=193,200,309. Correct.

Q5a: 678,986 — underlined 986 is last three → ones period. Correct.

Q5b: 567,897,456 — underlined 567 is first three → millions period. Correct.

All good.

For Q6, since no numbers, I'll leave it out or state not applicable.

But in final answer section, I need to provide only final correct answer — so perhaps list 1-5.

Maybe the user intended to include numbers but didn't. I'll proceed.

Final Answer:

1. a. hundred thousands, 900000; b. millions, 9000000
2. a. 1070008; b. 48980
3. a. 6000000 + 700000 + 80000 + 90 + 8; b. 1000000 + 200000 + 30000 + 5000 + 700 + 60 + 5
4. a. 40090602; b. 193200309
5. a. ones; b. millions
6. [No numbers given]

To make it clean, perhaps write without brackets.

Since the instruction is "provide only the final correct answer", and Q6 is unsolvable, I'll omit it or write N/A.

But let's see the format.

I think for accuracy, I'll include up to 5.

Perhaps in the original, Q6 had numbers like from Q3 or something, but I doubt it.

Another thought: maybe "write in order" refers to the numbers in Q3a and Q3b? But that would be two numbers: 6780098 and 1235765 — smallest to largest: 1235765, 6780098.

But that seems forced.

Or Q4a and Q4b: 40090602 and 193200309 — then 40090602 < 193200309, so order is 40090602, 193200309.

But again, speculative.

I think best to stick with what's given.

So Final Answer will be for 1-5.

Let me write it neatly.