Stage 9 - Q1 - 2 marks
Write in standard form.
Hint
The coefficient must be at least 1 and less than 10.
Stage 9 - Q2 - 2 marks
Write in standard form.
Hint
Count how many places move the decimal to a number from 1 to 10.
Stage 9 - Q3 - 3 marks
Write as an ordinary number.
Hint
A positive exponent makes this positive coefficient larger.
Stage 9 - Q4 - 3 marks
Write as an ordinary number.
Hint
Use the reciprocal meaning of a negative index.
Stage 9 - Q5 - 4 marks
Rewrite in standard form.
Hint
Keep the value fixed while putting the coefficient in the required range.
Stage 9 - Q6 - 4 marks
Rewrite in standard form.
Hint
Keep the value fixed while putting the coefficient in the required range.
Stage 9 - Q7 - 5 marks
Rewrite in standard form.
Hint
An increase in the coefficient must be balanced by a smaller power.
Stage 9 - Q8 - 5 marks
A sensor stores the positive reading 0.000043 metres. Write the reading in standard form and state its exponent.
Hint
Standard form retains the measurement unit.
Stage 9 - Q9 - 5 marks
A learner says the following is standard form. Correct the statement.
Hint
A coefficient of 10 or more is outside the standard-form range.
Stage 9 - Q10 - 3 marks
A positive number is written as \(a\times10^n\), where \(1\leq a<10\). Multiplying it by 1000 gives 0.00624. Find a and \(n\).
Hint
Work backwards to the original number first.