Dividing Decimals and Algebraic Expressions

The video tutorial covers the concept of dividing by decimals, starting with an introduction and example problem. It explains the process using dimes and multiplication, and demonstrates the standard algorithm for decimal division. The tutorial compares decimal and whole number division, solves various problems, and explores advanced problems. It also discusses estimation and reasoning in division, and concludes with an exploration of powers of ten in division.

What is the first step in dividing 3.60 by 1.20?

• Convert to whole numbers

• Multiply by 10

• Add the numbers

• Subtract the smaller number

How many dimes are equivalent to $3.60?

• 60 dimes

• 30 dimes

• 12 dimes

• 36 dimes

What is the multiplication equation for 360 divided by 12?

• 12 plus what equals 360

• 360 times what equals 12

• 360 minus what equals 12

• 12 times what equals 360

How do you handle the decimal when dividing by a decimal?

• Add a zero

• Ignore it

• Move it to the left

• Move it to the right

What is the result of 3.6 divided by 1.2?

• 1

• 4

• 3

• 2

How is dividing by a decimal similar to dividing by a whole number?

• You multiply the numbers

• The steps are the same

• You add the numbers

• You subtract the numbers

What is the algebraic expression for 2.8 divided by 0.7?

• 0.7 plus a equals 2.8

• 2.8 times a equals 0.7

• 2.8 minus a equals 0.7

• 0.7 times a equals 2.8

What is the quotient of 6.6 divided by 0.3?

• 22

• 20

• 24

• 18

How many times does 4 go into 456?

• 118 times

• 114 times

• 112 times

• 116 times

Is the estimate of 60 divided by 5.7 being about 10 reasonable?

• Yes, but only slightly

• No, it should be less

• Yes, it is accurate

• No, it should be greater