IM 6.4.1 Practice: Size of Divisor and Size of Quotient

Order from smallest to largest:

Use each of the numbers 4, 40, and 4000 once to complete the sentences.

The value of _____ ÷ 40.01 is close to 1.

40 4 4000

The value of _____ ÷ 40.01 is much less than 1.

4 4000 40

The value of _____ ÷ 40.01 is greater than 1.

40 4000 4

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

[math]100\div\frac{1}{1000}[/math]

close to 1 much greater than 1 much smaller than 1

[math]50\frac{1}{3}\div50\frac{1}{4}[/math]

much greater than 1 close to 1 much smaller than 1

[math]4.7\div5.2[/math]

close to 1 much smaller than 1 much greater than 1

[math]2\div7335[/math]

close to 1 much smaller than 1 much greater than 1

[math]2,000,001\div9[/math]

much greater than 1 close to 1 much smaller than 1

[math]0.002\div2,000[/math]

close to 1 much greater than 1 much smaller than 1

A rocking horse has a weight limit of 60 pounds.

What percentage of the weight limit is 33 pounds?

What percentage of the weight limit is 114 pounds?

What weight is 95% of the limit?

Compare using >, =, or <.

0.7 ______ 0.70

[math]<[/math] [math]=[/math] [math]>[/math]

[math]0.03+\frac{6}{10}[/math] _______ [math]0.30+\frac{6}{100}[/math]

[math]=[/math] [math]>[/math] [math]<[/math]

0.9 ______ 0.12

[math]=[/math] [math]<[/math] [math]>[/math]

Diego has 90 songs on his playlist. How many songs are there for each genre?

40% rock

10% country

30% hip-hop

The rest is electronica

A garden hose emits 9 quarts of water in 6 seconds. At this rate:

How long will it take the hose to emit 12 quarts?

How much water does the hose emit in 10 seconds?