On average, a person’s heart beats about 4.2×107 times per year. There are about 7,600,000,000 people in the world. Use this data to approximate the number of heartbeats for all the people in the world per year. Expressing your answer in scientific notation in the form a×10 b , what are the values of a and b ?

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emericsiebenbrodt emericsiebenbrodt · Answer 1 · 2021-10-12T19:08:01+02:00

A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

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zmcever zmcever · Answer 2 · 2021-10-12T19:09:58+02:00

Answer:

[tex]3.192*10^1^7[/tex]

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

[tex]3.192*10^1^7[/tex]