TEST Addition and Subtraction With Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

How do you add numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before adding the coefficients.

Front

What is the general form of scientific notation?

Back

a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

Simplify: 3 × 10¹ + 6.4 × 10²

Back

6.7 × 10²

Front

Simplify: 2.5 × 10¹ + 6.14 × 10⁴

Back

6.1425 × 10⁴

Front

Simplify: 5.1 × 10¯¹ + 0.38 × 10⁴

Back

3.80051 × 10³

Front

Simplify: 5 × 10⁻² + 1.6 × 10⁻³

Back

5.16 × 10⁻²

Front

Simplify: 2.4 × 10⁴ + 5.57 × 10³

Back

2.957 × 10⁴

Front

What is the first step in adding numbers in scientific notation?

Back

Align the exponents by converting to the same power of ten.

Front

What happens when you add a number in scientific notation with a larger exponent to one with a smaller exponent?

Back

The larger exponent dominates, and you convert the smaller number to match the larger exponent.