Math: Comparing, Rounding, and Unit Rate Calculations

omparing Numbers

Which of the following numbers is the greatest?

A. −2.83−2.83

B. 4554

C. 2.4

D. −1.25−1.25

C. 2.4

Explanation: Convert the fraction to a decimal:

45=0.854=0.8

Compare: 2.4, 0.8, -1.25, -2.83

The greatest number is 2.4.

Memory Trick: "Convert first, compare second." Turn fractions into decimals before comparing.

Comparing Numbers

Order the following numbers from least to greatest:

−2.83−2.83, 4554, 2.4, −1.25−1.25

A. -2.83, -1.25, 0.8, 2.4

B. -1.25, -2.83, 0.8, 2.4

C. 0.8, -1.25, -2.83, 2.4

D. -2.83, 0.8, -1.25, 2.4

A. -2.83, -1.25, 0.8, 2.4

Explanation: Negative numbers are less than positive numbers. The more negative a number is, the smaller it is.

Memory Trick: On a number line, left = smaller, right = larger.

Rounding

Round 6.47 to the nearest whole number.

A. 5

B. 6

C. 7

D. 8

B. 6

Explanation: Look at the tenths digit (4). Since it is less than 5, the whole number stays the same.

Memory Trick: 0-4 = Stay. 5-9 = Raise.

Rounding

Round 18.75 to the nearest whole number.

A. 18

B. 19

C. 17

D. 20

B. 19

Explanation: The tenths digit is 7. Since 7 is greater than 5, round up.

Memory Trick: 5 or more, raise the score!

Rounding

Round 4.386 to the nearest tenth.

A. 4.3

B. 4.4

C. 4.38

D. 4.39

B. 4.4

Explanation: The tenths digit is 3. Look to the right (8). Since 8 is greater than 5, round the 3 up to 4.

Memory Trick: Look one place to the right to decide whether to round.

Unit Rate

A package of 8 notebooks costs $12.00. What is the unit price per notebook?

A. $1.25

B. $1.50

C. $2.00

D. $2.50

B. $1.50

Explanation: Unit Price = Total Cost ÷ Quantity

$12.00 ÷ 8 = $1.50

Memory Trick: Unit rate = Divide to find the cost of ONE.

Unit Rate

A 24-pack of water bottles costs $9.60. What is the cost per bottle?

A. $0.30 B. $0.35 C. $0.40 D. $0.45

C. $0.40

Explanation: $9.60 ÷ 24 = $0.40

Memory Trick: When TEAS asks for a unit price, always divide.

Unit Rate

A grocery store sells 5 pounds of apples for $7.50. What is the cost per pound?

A. $1.25 B. $1.50 C. $1.75 D. $2.00

B. $1.50

Explanation: $7.50 ÷ 5 = $1.50

Memory Trick: "Per" means divide. Cost per pound = total cost ÷ total pounds.

Comparing Numbers

✅ Convert fractions to decimals first.

Example:

- 45=0.854=0.8

- 34=0.7543=0.75

- 12=0.521=0.5

Rounding Rule

✅ Look one digit to the right.

0-4 → Keep the number the same

5-9 → Round up

Example:

7.48 → 7

7.58 → 8

Unit Rate Formula

Unit Rate=Quantity/Total Cost

TEAS Shortcut:

If you see "per item," "per pound," "per bottle," or "per unit," divide.