Numerical Expressions (6Plus)

Front

What is a numerical expression?

Back

A numerical expression is a mathematical phrase that includes numbers, operators (such as +, -, ×, ÷), and sometimes parentheses, but does not include an equal sign.

Front

How do you evaluate a power, such as 9^3?

Back

To evaluate a power, multiply the base (9) by itself as many times as indicated by the exponent (3). So, 9^3 = 9 × 9 × 9 = 729.

Front

What does the phrase 'the difference of fourteen and five' mean in numerical terms?

Back

It means to subtract five from fourteen, which can be expressed as (14 - 5).

Front

How do you express 'twice the sum of six and five' in numerical terms?

Back

It can be expressed as 2 × (6 + 5).

Front

What is the numerical expression for '5 times the difference between 54 and 49'?

Back

It is expressed as 5 × (54 - 49).

Front

How do you interpret the phrase 'ten times the sum of forty and fifty-three'?

Back

It can be expressed as 10 × (40 + 53).

Front

What is the order of operations in evaluating numerical expressions?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

What is the result of evaluating the expression 90 ÷ (14 - 5)?

Back

First, calculate the difference: 14 - 5 = 9. Then, divide: 90 ÷ 9 = 10.

Front

How do you simplify the expression 2 × (6 + 5)?

Back

First, calculate the sum: 6 + 5 = 11. Then, multiply: 2 × 11 = 22.

Front

What is the value of the expression 5 × (54 - 49)?

Back

First, calculate the difference: 54 - 49 = 5. Then, multiply: 5 × 5 = 25.