Multiplying and Dividing Decimals by Powers of Ten or Decimals

When multiplying two numbers with decimals how do you know where to place the decimal in the product?

• Just guess where you think it should be.

• Choose the factor with the largest number of decimal places and place the decimal in the same place in your product.

• Count all decimal places for the two factors and place the decimal that many places from the left of the last number in your product.

• Multiply on the same number of decimal places otherwise your answer will be wrong.

Tags

CCSS.6.NS.B.3

When dividing with decimals it is important to multiply both numbers by a power of ten equal to the number with the most decimal places, then divide.

• True

• False

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2

How can powers of ten simplify multiplication and division?

• Powers of ten only apply to whole numbers.

• Powers of ten are only useful for addition and subtraction.

• Powers of ten simplify multiplication and division by allowing easy shifting of the decimal point and simplifying calculations through addition or subtraction of exponents.

• Powers of ten complicate calculations by requiring more steps.

Tags

CCSS.5.NBT.A.2

What is the value of 10 to the power of -2?

• 0.1

• 0.01

• 1

• 10

Tags

CCSS.8.EE.A.1

214.5 x 0.001

• 2,145

• 2.145

• 0.2145

• 0.02145

Tags

CCSS.5.NBT.B.7

If A= 10^3 x 10^-4 x 10^5 and B= 10^6/10^-3x10^2, what is the value of A/B?

• 10^-6

• 10^-4

• 10^0

• 10^4

• 10^6

Tags

CCSS.8.EE.A.1

What is the value of 10 to the power of -3?

• 0.001

• 0.01

• 0.1

• 1

Tags

CCSS.8.EE.A.1

If 10^n = 0.01, what is the value of n?

• -2

• -1

• 2

• 1

Tags

CCSS.8.EE.A.3

If 10^n = 0.1, what is the value of n?

• -1

• 1

• 0

• -2

Tags

CCSS.5.NBT.A.2

What is the result of multiplying 43.1 by 1,000?

• 431

• 4,310

• 43,100

• 431,000

Tags

CCSS.5.NBT.A.2