Estimating Solutions Using Benchmark Fractions

Why does Armando think the equation one-half minus one-third equals six-tenths is unreasonable?

• Because six-tenths is less than one-half.

• Because one-third is greater than one-half.

• Because six-tenths is more than one-half.

• Because one-half is equal to six-tenths.

What is the main goal Armando is trying to achieve by passing the test?

• To stay on the soccer team.

• To impress his teacher.

• To improve his math skills.

• To help his classmates.

What conclusion does Armando reach about the equation three-fourths plus one-third equals two-twelfths?

• It is reasonable because two-twelfths is a large fraction.

• It is unreasonable because three-fourths is almost a whole.

• It is unreasonable because two-twelfths is more than one-half.

• It is reasonable because three-fourths and one-third are small fractions.

How does Armando verify the reasonableness of the equation two-fourths plus three-sixths equals one?

• By calculating the exact decimal values.

• By using a calculator to check the sum.

• By recognizing that both fractions equal one-half.

• By comparing it to a similar equation.

What does Armando do after analyzing the third equation?

• He decides to review more equations.

• He asks for more help.

• He takes a break.

• He thanks for the help and mentions his battery is low.