Adding numbers in standard form | Maths | Quizalize & Oak National Academy

Starter quiz

Match each number in standard form to its equivalent as an ordinary number.

$4.3\times10^{-4}$

⇔

$0.000 \text{ }43$ ✓

$4.4\times10^{4}$

⇔

$44 \text{ }000$ ✓

$4.3\times10^{4}$

⇔

$43 \text{ }000$ ✓

$4.3\times10^{8}$

⇔

$430 \text{ }000 \text{ }000$ ✓

$4\times10^{4}$

⇔

$40 \text{ }000$ ✓
Without a calculator, work out 39.38 + 9.3. The answer as a decimal is ______.

'48.86' ✓
Starting with the smallest, put these numbers into ascending order of size.

1

⇔

$1^{10}$

2

⇔

$2^3$

3

⇔

$10^1$

4

⇔

$4^2$

5

⇔

$5^2$

6

⇔

$10^2$

7

⇔

$5^3$
Match each number to its correct standard form equivalent.

$14.4\times10^{-5}$

⇔

$1.44\times10^{-4}$ ✓

$0.54\times10^{-5}$

⇔

$5.4\times10^{-6}$ ✓

$340\times10^{-5}$

⇔

$3.4\times10^{-3}$ ✓

$34\times10^{-5}$

⇔

$3.4\times10^{-4}$ ✓
The Pacific Ocean has an approximate surface area of 166 000 000 km² and the Indian Ocean is approximately 73 000 000 km². What is the total surface area, in standard form, of these two oceans?

$2.39\times10^{8}$ km² ✓

$2.39\times10^{7}$ km²

$2.39\times10^{6}$ km²

$239\times10^{8}$ km²

$239\times10^{6}$ km²
Work out 0.04 m + 12 cm + 45 mm + 0.0008 km. The answer is ______ centimetres.

'100.5' ✓

Exit quiz

Work out $1.8\times10^5 + 5.6\times10^5$ , giving your answer in standard form.

$7.4\times10^10$

$7.4\times10^5$ ✓

$7.4\times10^6$

$7.4\times10^4$

$7.4\times10^{25}$
Work out $3\times10^{-8} + 4.8\times10^{-8}$ , giving your answer in standard form.

$7.8\times10^{8}$

$7.8\times10^{0}$

$7.8\times10^{-16}$

$7.8\times10^{-8}$ ✓
Work out $1.4\times10^5 + 4\text{ }700\text{ }000$ , giving your answer in standard form.

$4.84\times10^5$

$4.84\times10^6$ ✓

$4.84\times10^5$

$4.84\times10^3$
Work out $4.9\times10^4 + 280\text{ } 000$ , giving your answer in standard form.

$3.29\times10^5$ ✓

$3.29\times10^4$

$3.29\times10^3$

$3.29\times10^1$
Find the sum of $9.38\times10^{10}$ and $1\text{ }300\text{ }000\text{ }000$ . Give your answer in standard form.

$9.51\times10^{11}$

$95.1\times10^{10}$

$95.1\times10^{9}$

$9.51\times10^{9}$

$9.51\times10^{10}$ ✓
Work out $2$ mm + $0.5$ cm + $2\times10^{-3}$ m. Give your answer in metres.

$9\times10^{-3}$ m ✓

$9\times10^{-4}$ m

$9\times10^{-2}$ m

$9\times10^{-1}$ m

Worksheet

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Lesson Details

Key learning points

When adding numbers represented in standard form, place value is an important consideration.
If the power of 10 is the same for both numbers, it is easy to add.
Standard form calculations can be done using a calculator.

Common misconception

When adding numbers in standard form, pupils can also add the exponents of 10.

The use of the place value chart shows how the magnitude does not change to the sum of the powers of 10. The place value chart can support pupils to make the correct addition or subtraction of large or small numbers.

Keywords

Standard form - Standard form is when a number is written in the form A × 10^n, (where 1 ≤ A < 10 and n is an integer).