Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Change the following numbers in scientific notation into standard form:

(a) [tex]$2.34 \times 10^5$[/tex]

(b) [tex]$4.56 \times 10^8$[/tex]

(c) [tex]$3.14 \times 10^9$[/tex]

(d) [tex]$6.02 \times 10^{23}$[/tex]

(e) [tex]$7.9 \times 10^{-3}$[/tex]

(f) [tex]$9.87 \times 10^{-4}$[/tex]

(g) [tex]$8.62 \times 10^{-7}$[/tex]

(h) [tex]$3.45 \times 10^{-8}$[/tex]

Sagot :

GinnyAnswer
Certainly! Let's convert each number from scientific notation to standard form.

(a) [tex]\( 2.34 \times 10^5 \)[/tex]

To convert [tex]\( 2.34 \times 10^5 \)[/tex], we move the decimal point 5 places to the right:
[tex]\[ 2.34 \times 10^5 = 234000.0 \][/tex]

(b) [tex]\( 4.56 \times 10^8 \)[/tex]

To convert [tex]\( 4.56 \times 10^8 \)[/tex], we move the decimal point 8 places to the right:
[tex]\[ 4.56 \times 10^8 = 455999999.99999994 \][/tex] (or approximately [tex]\( 456000000 \)[/tex])

(c) [tex]\( 3.14 \times 10^9 \)[/tex]

To convert [tex]\( 3.14 \times 10^9 \)[/tex], we move the decimal point 9 places to the right:
[tex]\[ 3.14 \times 10^9 = 3140000000.0 \][/tex]

(e) [tex]\( 6.02 \times 10^{23} \)[/tex]

To convert [tex]\( 6.02 \times 10^{23} \)[/tex], we move the decimal point 23 places to the right:
[tex]\[ 6.02 \times 10^{23} = 6.019999999999999 \times 10^{23} \][/tex] (approximately [tex]\( 6.02 \times 10^{23} \)[/tex])

(f) [tex]\( 7.9 \times 10^{-3} \)[/tex]

To convert [tex]\( 7.9 \times 10^{-3} \)[/tex], we move the decimal point 3 places to the left:
[tex]\[ 7.9 \times 10^{-3} = 0.0079 \][/tex]

(g) [tex]\( 9.87 \times 10^{-4} \)[/tex]

To convert [tex]\( 9.87 \times 10^{-4} \)[/tex], we move the decimal point 4 places to the left:
[tex]\[ 9.87 \times 10^{-4} = 0.000987 \][/tex]

(j) [tex]\( 8.62 \times 10^{-7} \)[/tex]

To convert [tex]\( 8.62 \times 10^{-7} \)[/tex], we move the decimal point 7 places to the left:
[tex]\[ 8.62 \times 10^{-7} = 8.619999999999999 \times 10^{-7} \][/tex] (approximately [tex]\( 0.000000862 \)[/tex])

(k) [tex]\( 3.45 \times 10^{-8} \)[/tex]

To convert [tex]\( 3.45 \times 10^{-8} \)[/tex], we move the decimal point 8 places to the left:
[tex]\[ 3.45 \times 10^{-8} = 3.4500000000000004 \times 10^{-8} \][/tex] (approximately [tex]\( 0.0000000345 \)[/tex])

Thus, the standard form of each number is:

(a) [tex]\( 234000.0 \)[/tex]

(b) [tex]\( 455999999.99999994 \)[/tex] or (approximately [tex]\( 456000000 \)[/tex])

(c) [tex]\( 3140000000.0 \)[/tex]

(e) [tex]\( 6.019999999999999 \times 10^{23} \)[/tex]

(f) [tex]\( 0.0079 \)[/tex]

(g) [tex]\( 0.000987 \)[/tex]

(j) [tex]\( 8.619999999999999 \times 10^{-7} \)[/tex] or (approximately [tex]\( 0.000000862 \)[/tex])

(k) [tex]\( 3.4500000000000004 \times 10^{-8} \)[/tex] or (approximately [tex]\( 0.0000000345 \)[/tex])
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.