write 3.76×10⁴ and 8.09×10‐³ in ordinary form
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Answer:
Unit 3 Section 4 : Standard Form
Standard form is a convenient way of writing very large or very small numbers. It is used on a scientific calculator when a number is too large or too small to be displayed on the screen.
Before using standard form, we revise multiplying and dividing by powers of 10.
Example 1
Calculate:
(a) 3 × 104
(b) 3.27 × 103
(c) 3 ÷ 102
(d) 4.32 ÷ 104
These examples lead to the approach used for standard form, which is a reversal of the approach used in Example 1.
In standard form, numbers are written as
a × 10n
where 1 ≤ a < 10 and n is an integer.
Example 2
Write the following numbers in standard form:
(a) 5720
(b) 7.4
(c) 473 000
(d) 6 000 000
(e) 0.09
(f) 0.000621
Example 3
Calculate:
(a) (3 × 106) × (4 × 103)
(b) (6 × 107) ÷ (5 × 10–2)
(c) (3 × 104) + (2 × 105)
Note on Using Calculators
Your calculator will have a keyEEorEXPfor entering numbers in standard form.
For example, for 3.2 × 107, press
3.2EXP7
which will appear on your display like this:
3.2 07
Some calculators also display the ' × 10 ' part of the number, but not all do. You need to find out what your calculator displays. Remember, you must always write the ' × 10 ' part when you are asked to give an answer in standard form.
Answer:
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