Divide Numbers Written in Scientific Notation

When dividing numbers in scientific notation, what do you do to the exponents?
For example:
(4×10⁵) ∕ (3×10²)

• Add them

• Subtract them

• Keep them the same

• Divide them

What do you do to your exponents when you are dividing in scientific notation?

• Subtract

• Divide

• Multiply

• Add

Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³

• 3 x 10⁹

• 1.2 x 10⁴

• 3 x 10³

Use the expression below to answer Parts A and B. (7.8 imes10^5) div (1.2 times10^9). Part A: Complete a true statement about the expression. The quotient will be ​ ​ (a)   because the exponent of the divisor is ​ (b)   the exponent of the dividend.

• Less than 1

• greater than 1

• equal to 1

• greater than

• less than

• equal to

Use the expression below to answer Parts A and B. (7.8 imes10^5) div (1.2 times10^9). Part A: Complete a true statement about the expression. The quotient will be ​ ​ (a)   because the exponent of the divisor is ​ (b)   the exponent of the dividend.

• Less than 1

• greater than 1

• equal to 1

• greater than

• less than

• equal to

To divide with scientific notation,​ divide the front values and use the ​ (a)   for the powers of 10.

• power rule

• product rule

• quotient rule

• zero rule

Tags

8.EE.3

8.EE.4

Part B: Find the quotient. Express your answer in scientific notation.

Mathematical Equivalence

ON

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

• 3 x 10¹⁰

• 3 x 10⁴

• 3 x 10^-4

• 3 x 10^-11

If the exponent is a negative number, _____________.

• you will get a larger number, because you are dividing

• you will get a smaller number, because you are dividing

• you will get a larger number because you are multiplying

• you will get a smaller number because you are multiplying