Decimal Operations and Proportions

The video tutorial explains how to solve proportions involving decimals and fractions by hand. It covers two examples: solving for z using cross multiplication and solving for y using fractions and multiplication. The tutorial emphasizes understanding decimal placement and using the reciprocal for division in fraction problems.

What is the first step in solving a proportion involving decimals and fractions?

• Add the numbers

• Cross-multiply the terms

• Subtract the numbers

• Divide the terms

How many decimal places should the product of 0.04 and 1.5 have?

• Two

• One

• Four

• Three

What is the product of 0.04 and 1.5?

• 0.06

• 0.6

• 0.60

• 0.006

What is the value of z when 0.05z equals 0.06?

• 1.2

• 2.0

• 1.5

• 1.0

What is the first step in dividing 0.06 by 0.05?

• Move the decimal point to the right

• Move the decimal point to the left

• Subtract the divisor from the dividend

• Add a zero to the dividend

In the second example, what is the common factor between 9 and 27?

• 12

• 9

• 6

• 3

What is the simplified product of four-ninths and twenty-seven?

• 12

• 18

• 9

• 15

What operation is used to solve for y in the second example?

• Division by the reciprocal

• Subtraction

• Addition

• Multiplication by the reciprocal

What is the value of y when one-third y equals 12?

• 24

• 30

• 36

• 48

What is the final value of y in the second example?

• 36

• 30

• 42

• 24