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GB-22-03-001 · Multiplying standard form

Work out (3×108)(1.4×102)(3\times10^8)(1.4\times10^2). Give your answer in standard form.

Standard Form: Multiplication Booklet p. 44
Method
1) Multiply normal numbers
2) Add powers of 10 (index laws)
3) Check answer is still in standard form (1 ≤ A < 10)
Worked Example (GB-22-03-001)
1)
Multiply the coefficients and add the indices.
2)
4.2×10104.2\times10^{10}
Ans = 4.2×10104.2\times10^{10}