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Write 3.76×10⁴ and 8.09×10‐³ in ordinary form​

Answer»

Unit 3 Section 4 : Standard FormStandard 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 1Calculate:(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 asa × 10nwhere 1 ≤ a < 10 and n is an integer.Example 2Write 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 3Calculate:(a) (3 × 106) × (4 × 103) (b) (6 × 107) ÷ (5 × 10–2) (c) (3 × 104) + (2 × 105) Note on Using CalculatorsYour calculator will have a keyEEorEXPfor entering numbers in standard form.For example, for 3.2 × 107, press3.2EXP7which will appear on your DISPLAY like this:3.2 07Some 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.



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