6.4.1 Check Your Understanding Questions

Choose the value to make the statement true.

The value of______ ÷ 40.01 is close to 1.

• 4

• 40

• 4000

Answer explanation

In general, when we divide two numbers that are nearly equal to each other, the quotient is close to 1.

Choose the value to make the statement true.

The value of _______ ÷ 40.0 is much less than 1.

• 4

• 40

• 4000

Answer explanation

In general, when a smaller number is divided by a larger number, the quotient is less than 1.

Choose the value to make the statement true.

The value of _______÷40.01 is much greater than 1.

• 4

• 40

• 4000

Answer explanation

In general, when a larger number is divided by a smaller number, the quotient is greater than 1. 

Without computing, decide whether the value of the expression is much smaller than 1, close to 1, or much greater than 1.

• much smaller than 1

• close to 1

• much greater than 1

Answer explanation

In general, when a larger number is divided by a smaller number, the quotient is greater than 1. 

Without computing, decide whether the value of the expression is much smaller than 1, close to 1, or much greater than 1.

• mush smaller than 1

• close to 1

• much greater than 1

Answer explanation

In general, when we divide two numbers that are nearly equal to each other, the quotient is close to 1.

Without computing, decide whether the value of the expression is much smaller than 1, close to 1, or much greater than 1.

• much smaller than 1

• close to 1

• much greater than 1

Answer explanation

In general, when we divide two numbers that are nearly equal to each other, the quotient is close to 1.

Without computing, decide whether the value of the expression is much smaller than 1, close to 1, or much greater than 1.

• much smaller than 1

• close to 1

• much greater than 1

Answer explanation

In general, when a smaller number is divided by a larger number, the quotient is less than 1.

Without computing, decide whether the value of the expression is much smaller than 1, close to 1, or much greater than 1.

• much smaller than 1

• close to 1

• much greater than 1

Answer explanation

In general, when a larger number is divided by a smaller number, the quotient is greater than 1. 

Without computing, decide whether the value of the expression is much smaller than 1, close to 1, or much greater than 1.

• much smaller than 1

• close to 1

• much greater than 1

Answer explanation

In general, when a smaller number is divided by a larger number, the quotient is less than 1.

A rocking horse has a weight limit of 60 pounds.

What percentage of the weight limit is 33 pounds?

• 55%

• 190%

• 0.6%

• 60%

Answer explanation

33 divided by 60 is 0.55, then multiply 0.55 by 100 to get 55%