Add Numbers in Scientific Notation with Same Powers
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 10: Exponents and Scientific Notation) learn to add numbers in scientific notation with the same power of 10 by applying the distributive property to combine coefficients.
Key Concepts
When adding numbers in scientific notation with the same power of 10, use the distributive property: $$(a \times 10^n) + (b \times 10^n) = (a + b) \times 10^n$$.
Common Questions
How do you add numbers in scientific notation with the same power?
Factor out the common power and add coefficients: (a x 10n) + (b x 10n) = (a+b) x 10n. Example: (3.2 x 10^5) + (1.7 x 10^5) = 4.9 x 10^5.
What if the sum of coefficients reaches 10 or more?
Convert back to proper scientific notation by rewriting the coefficient as a value from 1 to 10 and adjusting the exponent.
What chapter covers adding scientific notation in Big Ideas Math Advanced 2?
Chapter 10: Exponents and Scientific Notation in Big Ideas Math Advanced 2 (Grade 7).
Why is adding scientific notation like adding like terms?
Adding (3 x 10^5) + (2 x 10^5) is like adding 3x + 2x = 5x, where 10^5 acts as the variable.