Exponents and Standard Form

is -xy^2z^2 in standard form.

• True

• False

Tags

CCSS.6.EE.A.1

In standard form, the number 480500000 is written as K × 10⁸ where K is equal to __________.

• 4805

• 480.5

• 48.05

• 4.805

Answer explanation

Here the number is 480500000 Standard form of a number = K x 10ᵖ, where K is 1.0 ≤ m < 10.0 and p is an integer The total number of digits is 9. So p = 9 – 1 = 8 Therefore standard form = 4.805 x 10⁸ Hence, K = 4.805 So, option 4 is correct.

Tags

CCSS.8.EE.A.3

The standard form of the number 34789 is ___________.

• 34.789 x 10³

• 0.34789 x 10⁵

• 3.4789 x 10⁴

• 347.89 x 10²

Answer explanation

Standard form of a number = m x 10ᵖ, where 1.0 ≤ m < 10.0 and p is an integer So, in option 3 the value of m is 1.0 ≤ m < 10.0 and p is a integer Hence, 3.4789 x 10⁴ is the standard form of 34789

Tags

CCSS.8.EE.A.3

About 120,000,000,000 litres of water flow through a dam each day. How many litres of water flows through that dam in one week?

• 840 x 10¹¹

• 8.4 x 10¹¹

• 8.4 x 10¹²

• 840 x 10¹²

Answer explanation

Water flow each day = 120,000,000,000 litres Standard form of 120,000,000,000 = 1.2 x 10¹¹ In 1 week there are 7 days So, in one week water flow (in Litre) = 1.2 x 10¹¹ x 7 = 8.4 x 10¹¹ So, option 2 is correct.

Tags

CCSS.8.EE.A.3

How would you write 4.3756 x 10⁴ in standard form?

• 437560000

• 0.00043756

• 43756

• 4.3756

Tags

CCSS.8.EE.A.3

How do you write 8.317 x 10⁶ in standard form?

• 8,371,000

• 83,170,000

• 837,100

• 8,317,000

Tags

CCSS.8.EE.A.3

Simplify (2⁸)² as exponents.

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴

Tags

CCSS.8.EE.A.1

Which is greater? 1.111 x 10¹⁵ or 9.999 x 10³ ?

• They are equivalent.

• There is no way to determine which is greater. The numbers are too big to understand.

• 1.111 x 10¹⁵ is greater because of the larger exponent

• 9.999 x 10³ is greater because 9.999 is larger than 1.111

Tags

CCSS.8.EE.A.3

When writing a number in scientific notation, the first number must be at least 1, but less than 10. (1 < x < 10)

• False

• True

Tags

CCSS.8.EE.A.3

Evaluate: 12⁰ = ?

• 0

• 1

• 12

• undefined

Tags

CCSS.8.EE.A.1