Calculate the answer. How would you express it in scientific notation? $(1, 632) (4.0 \times 10^{4})$ $(1,632) (4.0 xx 10^4)$ ?

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Answer 1 · 2016-09-04T13:00:44

$1,632 \times 4.0 \times 10^{4} = 6.5 \times 10^{7}$ $"1,632" × 4.0 × 10^4 = 6.5 × 10^7$

Here are the three rules you need.

All $non-zero digits$ $color (red)("non-zero digits")$ are significant.
$Trailing zeroes in the decimal portion$ $color(red)("Trailing zeroes in the decimal portion")$ of a number are significant.
In multiplication and division, $you round the answer to have$ $color(red)("you round the answer to have"$
$the same number of significant digits as the number with the$ $color(red)("the same number of significant digits as the number with the")$
$fewest significant figures$ $color(red)("fewest significant figures")$ .

You used a period as a decimal separator in 4.0, so I assume you are using the comma as a thousands separator in 1,632.

$1,632$ $"1,632"$ has four significant figures.

$4.0 \times 10^{4}$ $4.0 × 10^4$ has two significant figures.

The answer can have only two significant figures.

∴ $1,632 \times 4.0 \times 10^{4} = 6.5 \times 10^{7}$ $"1,632" × 4.0 × 10^4 = 6.5 × 10^7$

Calculate the answer. How would you express it in scientific notation? (1,632)(4.0×104)(1,632) (4.0 xx 10^4)?