Question

convert each number to its standard form.
part 1 of 4
$22 \times 10^{7} = \square$
part 2 of 4
$1.41 \times 10^{-4} = \square$

Explanation:

Part 1 of 4

Step1: Recall the rule for \( a\times10^n \) (n positive)

When \( n \) is positive in \( a\times10^n \), we move the decimal point of \( a \) \( n \) places to the right. Here, \( a = 22 \), \( n=7 \). So we need to add 7 zeros after 22 (or move the decimal point 7 places right. Since 22 is \( 22.0 \), moving decimal 7 places right: \( 22.0\times10^7=220000000 \).

Step2: Calculate \( 22\times10^7 \)

\( 22\times10^7 = 22\times10000000 = 220000000 \)

Step1: Recall the rule for \( a\times10^n \) (n negative)

When \( n \) is negative in \( a\times10^n \), we move the decimal point of \( a \) \( |n| \) places to the left. Here, \( a = 1.41 \), \( n = - 4 \), so we move the decimal point 4 places to the left.

Step2: Calculate \( 1.41\times10^{-4} \)

Moving the decimal point 4 places left in 1.41: \( 1.41\times10^{-4}=0.000141 \)

Answer:

220000000

Part 2 of 4