Standard Form Textbook Exercise - Corbettmaths - Free Printable

Let's solve Question 1 step by step:
We are asked to write each of the given numbers in standard form.

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🔹 What is Standard Form?

Standard form (also called scientific notation) is a way of writing very large or very small numbers in the format:

> a × 10ⁿ,
where:
- 1 ≤ a < 10 (a is a number between 1 and 10),
- n is an integer (positive or negative).

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✔ Step-by-step method:

To convert a number into standard form:
1. Move the decimal point so that there’s only one non-zero digit before it.
2. Count how many places you moved the decimal point → that gives you the power of 10.
3. If you moved left → positive exponent; if right → negative exponent.

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Now, let's solve each part:

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(a) 40000
→ 4 × 10⁴
*(Move decimal 4 places left: 4.0000 → 4 × 10⁴)*

(b) 2000000
→ 2 × 10⁶
*(6 zeros → 2 × 10⁶)*

(c) 8000000
→ 8 × 10⁶

(d) 7000
→ 7 × 10³

(e) 100000000
→ 1 × 10⁸
*(9 digits → 10⁸)*

(f) 900
→ 9 × 10²

(g) 250000
→ 2.5 × 10⁵
*(Move decimal 5 places left: 250000 → 2.5 × 10⁵)*

(h) 1900
→ 1.9 × 10³

(i) 54000000
→ 5.4 × 10⁷

(j) 11000000
→ 1.1 × 10⁷

(k) 89000
→ 8.9 × 10⁴

(l) 36000000000
→ 3.6 × 10¹⁰
*(10 digits after 36 → 3.6 × 10¹⁰)*

(m) 43500
→ 4.35 × 10⁴

(n) 91900000
→ 9.19 × 10⁷

(o) 1230000000
→ 1.23 × 10⁹

(p) 71120
→ 7.112 × 10⁴

(q) 9804000
→ 9.804 × 10⁶

(r) 471500
→ 4.715 × 10⁵

(s) 55403
→ 5.5403 × 10⁴

(t) 2936000
→ 2.936 × 10⁶

(u) 93508000
→ 9.3508 × 10⁷

(v) 333810000
→ 3.3381 × 10⁸

(w) 9800200000
→ 9.8002 × 10⁹

(x) 49300
→ 4.93 × 10⁴

(y) 804000
→ 8.04 × 10⁵

(z) 69702000000
→ 6.9702 × 10¹⁰

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✔ Final Answers – Question 1:

| Letter | Number | Standard Form |
|--------|--------------|------------------------|
| (a) | 40000 | 4 × 10⁴ |
| (b) | 2000000 | 2 × 10⁶ |
| (c) | 8000000 | 8 × 10⁶ |
| (d) | 7000 | 7 × 10³ |
| (e) | 100000000 | 1 × 10⁸ |
| (f) | 900 | 9 × 10² |
| (g) | 250000 | 2.5 × 10⁵ |
| (h) | 1900 | 1.9 × 10³ |
| (i) | 54000000 | 5.4 × 10⁷ |
| (j) | 11000000 | 1.1 × 10⁷ |
| (k) | 89000 | 8.9 × 10⁴ |
| (l) | 36000000000 | 3.6 × 10¹⁰ |
| (m) | 43500 | 4.35 × 10⁴ |
| (n) | 91900000 | 9.19 × 10⁷ |
| (o) | 1230000000 | 1.23 × 10⁹ |
| (p) | 71120 | 7.112 × 10⁴ |
| (q) | 9804000 | 9.804 × 10⁶ |
| (r) | 471500 | 4.715 × 10⁵ |
| (s) | 55403 | 5.5403 × 10⁴ |
| (t) | 2936000 | 2.936 × 10⁶ |
| (u) | 93508000 | 9.3508 × 10⁷ |
| (v) | 333810000 | 3.3381 × 10⁸ |
| (w) | 9800200000 | 9.8002 × 10⁹ |
| (x) | 49300 | 4.93 × 10⁴ |
| (y) | 804000 | 8.04 × 10⁵ |
| (z) | 69702000000 | 6.9702 × 10¹⁰ |

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❓ Question 2: Write as ordinary numbers

You didn't provide the numbers for Question 2 in your image, but if you'd like, I can help with that too once you give the list.

For now, Question 1 is complete!

Let me know if you want me to solve Question 2 or explain any part further.