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Which shows the expression below in simplified form?

( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )
A. 3.5 × 100
B. 3.5 × 103
C. 3.5 × 102
D. 12 × 101
Please explain how.

User UkFLSUI
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1 Answer

3 votes

Answer:

A. 3.5 × 100

Explanation:

( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )

(7×5) ×10^(5+(-4))

(7×5) × 10^(5-4)

35 × 10

350

350 is equivalent to 3.5 × 100

Standard form , or standard index form, is a system of writing numbers which can be particularly useful for working with very large or very small numbers.

It is based on using powers of 10 to express how big or small a number is.

Standard form uses the fact that the decimal place value system is based on powers of 10:

10^0 = 1

10¹ = 10

10² = 100

10³ = 1000

10⁴ = 10,000

In laws of indices a² × a³ = a^(2+3)

User Joella
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