Maths4U
Menu

0580 · Notes & worked examples

Standard form · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Standard form — objective 1

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(6400000\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Write \(\displaystyle N=a\times 10^{n}\) in standard form. Find a.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Standard form — objective 1

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(65000000\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Write \(\displaystyle N=a\times 10^{n}\) in standard form. Find a.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Standard form — objective 2

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(65000000\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Find n in that standard form.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Standard form — objective 2

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(6600\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Find n in that standard form.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Standard form — objective 3

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(6600\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Find 100N in ordinary notation.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Standard form — objective 3

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(67000\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Find 100N in ordinary notation.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Standard form — objective 4

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(67000\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Write \(\displaystyle \frac{1}{N}\) in standard form. Find its exponent.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Standard form — objective 4

Maths4U Original · Short practice

Let \(\displaystyle N=\)\(680000\). Here a and n denote the standard-form coefficient and exponent, not given constants.

Write \(\displaystyle \frac{1}{N}\) in standard form. Find its exponent.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →