Student Edition - Mathematics in Context - Britannica

Answers to Check Your Work• Using a double number line with fractions and decimals:$0 $14 $28 $42 $560 1 41 23 4 10% 25% 50% 75% 100%• Using a ratio table:Price $42 $14 $56Percent 75% 25% 100%SectionDMore or Less1. a. The new measurements are 6 cm by 9 cm.Sample calculations:50% of 12 cm is 1 2 of 12 cm or 6 cm.50% of 18 cm is half of 18 cm or 9 cm.b. The new measurements are 9 cm by 13.5 cm.Sample calculations:Reduced to 75%, new measurements are 3 4 of oldmeasurements.14 of 12 cm is 3 cm, and 3 4 is 3 times as much, so3 3 cm 9 cm.14 of 18 cm is 18 4 4.5 cm, and 3 4 is 3 times as much, so3 4.5 cm 13.5 cm.2. Reductions must be close to and a little less than reducing to 42%.Here is one strategy.Using 1a, reducing the picture to 50% is too wide, but not too long.Reducing to 40%, I need to check only the width.40% of 12 cm:10% of 12 cm is 1.2 cm, so 40% is 4.8 cm (4 1.2 cm).So the width (4.8 cm) is less than 5 cm, so reducing to 40% will fit.46 More or Less