Question

Find a ratio that compares the relative sizes of the quantities.

a. 1 m to100 cm
b. 150 centimeters to 7 meters

Answer 1

To compare the relative sizes of different quantities, we can use ratios. The given ratios can be simplified to express the comparison more clearly.

Step-by-step explanation:

To compare the relative sizes of quantities, we can use ratios. Let's look at the given ratios:

1. 1 m to 100 cm: This ratio can be written as 1:100 or 1/100. It means that 1 meter is equal to 100 centimeters.
2. 150 centimeters to 7 meters: This ratio can be written as 150:700 or 150/700. It means that 150 centimeters is equal to 7 meters.

To compare the sizes of these quantities, we can simplify the ratios by dividing both the numerator and denominator by their greatest common factor:

1. 1:100 can be simplified to 1:1 or 1/1.
2. 150:700 can be simplified to 15:70 or 3:14.

So, the simplified ratios that compare the relative sizes of these quantities are:

1. 1:1 or 1/1 for the first ratio.
2. 3:14 for the second ratio.