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4 (a) Write 1.63 x 10³ as an ordinary number - Edexcel - GCSE Maths - Question 5 - 2022 - Paper 1
Question 5
4 (a) Write 1.63 x 10³ as an ordinary number. (b) Write 438 000 in standard form. (c) Work out (4 x 10²) x (6 x 10⁻³) Give your answer in standard form.
Worked Solution & Example Answer:4 (a) Write 1.63 x 10³ as an ordinary number - Edexcel - GCSE Maths - Question 5 - 2022 - Paper 1
Step 1
Write 1.63 x 10³ as an ordinary number.
Answer
To convert the number from scientific to ordinary form, we need to multiply 1.63 by 10 raised to the power of 3. This means moving the decimal point three places to the right:
1.63 x 10³ = 1.63 x 1000 = 1630.
Thus, the ordinary number is 1630.
Step 2
Step 3
Work out (4 x 10²) x (6 x 10⁻³)
Answer
To solve this, we multiply the coefficients and add the exponents of the powers of ten:
(4 x 10²) x (6 x 10⁻³) = (4 * 6) x (10^{2 + (-3)}) = 24 x 10^{2 - 3} = 24 x 10⁻¹.
To express this in standard form, we adjust: 24 = 2.4 x 10¹, so:
2.4 x 10¹ x 10⁻¹ = 2.4 x 10^{1 - 1} = 2.4 x 10⁰.
Thus, the answer in standard form is 2.4 x 10⁰.