Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
Practice Test
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Exercise 13 Page 366

Start by factoring out 10^7.

1.77* 10^8

We want to add two numbers that are written in scientific notation. (7.8* 10^7)+(9.9* 10^7)Notice that the exponent of 10 is the same for both numbers. To add the expressions, we can factor out 10^7.
(7.8* 10^7)+(9.9* 10^7)
(7.8 + 9.9)* 10^7
17.7 * 10^7
Recall that the first factor of a number written in scientific notation must be greater than or equal to 1 and less than 10. Therefore, we need to rewrite 17.7 as the product of 1.77 and 10. Then, we can simplify.
17.7* 10^7
1.77* 10* 10^7
1.77* 10^(1+7)
1.77* 10^8