Flashcard: Equivalent Ratios — 24 carte

What are equivalent ratios?

Different ratios showing the same comparison.

How is an equivalent ratio created?

By multiplying or dividing both numbers by the same non-zero number.

Why are 2:3, 4:6, and 6:9 equivalent ratios?

Because each is formed by applying the same multiplier to both terms.

What is the first step to find a missing number in an equivalent ratio?

Match corresponding numbers in the ratios.

How do you find the multiplier when finding a missing ratio number?

Divide the new number by the original number.

What do you do after finding the multiplier in an equivalent ratio?

Apply the multiplier to the other term to find the missing number.

What is the formula for the multiplier in equivalent ratios?

Multiplier equals new number divided by original number.

How is the multiplier calculated in the ratio 4:7 = 20:□?

By dividing 20 by 4, which equals 5.

What is the missing number in the ratio 4:7 = 20:□?

35

How does a ratio table generate equivalent ratios?

By applying the same multiplier to both rows in each column.

What pairs result from multiplying 2:5 by 1, 2, 3, and 4?

2:5, 4:10, 6:15, and 8:20.

How does a double number line for 3:4 produce equivalent ratios?

By using the same multiplier on both lines.

What is the first step to solve a ratio word problem?

Divide the known quantity by its corresponding ratio term.

After finding the multiplier in a ratio problem, what is the next step?

Multiply the other ratio term by the multiplier.

If the ratio of boys to girls is 2:5 and there are 10 girls, what is the multiplier?

The multiplier is 2.

With a multiplier of 2 and a boys-to-girls ratio of 2:5, how many boys are there?

There are 4 boys.

When do you use multiplication in ratio problems?

When a corresponding number becomes bigger.

When do you use division in ratio problems?

When a corresponding number becomes smaller.

What is the first step in the calculator method for ratios?

Identify matching numbers.

How do you find the multiplier in the calculator method?

Divide the matching numbers.

What do you do after finding the multiplier in the calculator method?

Apply the multiplier to the other number.

What is the final step in the calculator method?

Check the answer.

Name one common equivalent-ratio mistake.

Multiplying only one number.

Name another common equivalent-ratio mistake.

Using different multipliers.