Math Review

Front

What is the cost per pound of nails if Harold had four pounds that cost $22.68?

Back

To find the cost per pound, divide the total cost by the number of pounds: $22.68 ÷ 4 = $5.67.

Front

How do you evaluate the expression 315.03 - (2.003 + 4.1) + 211.09?

Back

First, calculate the sum inside the parentheses: 2.003 + 4.1 = 6.103. Then, subtract this from 315.03 and add 211.09: 315.03 - 6.103 + 211.09 = 520.017.

Front

What defines a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

How do you solve the expression [ 5.2 + (22 - 4) x 3] ÷ 8?

Back

First, calculate the expression inside the parentheses: 22 - 4 = 18. Then multiply by 3: 18 x 3 = 54. Add 5.2: 5.2 + 54 = 59.2. Finally, divide by 8: 59.2 ÷ 8 = 7.4.

Front

What is expanded notation?

Back

Expanded notation is a way to write numbers that shows the value of each digit. For example, 5.48 can be written as (5 x 1) + (4 x 0.1) + (8 x 0.01).

Front

How do you find the total cost of multiple items with the same price?

Back

Multiply the price of one item by the number of items to find the total cost.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

How do you convert a decimal to expanded notation?

Back

To convert a decimal to expanded notation, break it down into its place values. For example, 3.76 = (3 x 1) + (7 x 0.1) + (6 x 0.01).

Front

What is the significance of parentheses in mathematical expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.

Front

How do you identify prime numbers from a list?

Back

To identify prime numbers, check each number to see if it has exactly two distinct positive divisors: 1 and itself.