Solving Proportions and Decimals

This video tutorial demonstrates how to solve proportions using cross multiplication. It begins with a simple fraction-based proportion and progresses to solving proportions involving decimals. The tutorial also covers dividing numbers with decimals, providing a step-by-step approach to ensure understanding. The video concludes with a summary of the methods discussed and encourages viewers to subscribe for more math and science content.

What is the first step in solving a proportion like 1/4 = x/72?

• Cross multiply the terms

• Add the numbers on both sides

• Subtract the smaller number from the larger

• Divide both sides by 2

After cross multiplying 1/4 = x/72, what equation do you get?

• 4x = 72

• x = 18

• x = 72/4

• 4 = 72x

How do you isolate x in the equation 4x = 72?

• Subtract 4 from both sides

• Multiply both sides by 4

• Add 4 to both sides

• Divide both sides by 4

What is the value of x when you solve 4x = 72?

• 18

• 72

• 36

• 4

In the proportion 8/n = 0.4/0.6, what is the first step?

• Add 0.4 to both sides

• Cross multiply the terms

• Subtract 0.6 from both sides

• Divide both sides by 8

What is the result of multiplying 8 by 0.6?

• 0.48

• 48

• 4.8

• 8.6

How do you handle the decimal when multiplying 8 by 0.6?

• Add a zero to the result

• Multiply by 10

• Count the decimal places and adjust

• Ignore the decimal

What is the next step after obtaining 0.4n = 4.8?

• Divide both sides by 0.4

• Add 0.4 to both sides

• Multiply both sides by 0.4

• Subtract 0.4 from both sides

When dividing 4.8 by 0.4, what should you do with the decimal?

• Add a zero

• Ignore it

• Move it one place to the left

• Move it one place to the right

What is the final answer when solving the proportion 8/n = 0.4/0.6?

• 8

• 12

• 10

• 14