What is 2 raised to the power 5, using the exponentiation operator?

Modulus, integer division and exponentiation with worked values, the order of operations, relational and logical operators in conditions, and trace tables for short algorithms.

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Key term

What does the modulus operator return?

Key term

Describe what integer division returns.

Key term

State the values of 29 modulus 6 and 29 integer-divided by 6.

Questions from this subtopic

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1
What does the modulus operator return?
Model answer
The modulus operator returns the remainder left after a whole-number division. The expression 17 modulus 5 gives 2, because 5 × 3 = 15.
2
Describe what integer division returns.
Model answer
Integer division returns the whole number of times one number goes into another. Any remainder is discarded, so 17 integer-divided by 5 gives 3.
3
State the values of 29 modulus 6 and 29 integer-divided by 6.
Model answer
The modulus is 5 and the integer division gives 4. The check is 4 × 6 + 5 = 29.
4
What is 2 raised to the power 5, using the exponentiation operator?
Model answer
The value of 2 to the power 5 is 32. Exponentiation multiplies 2 by itself five times.
5
How can the modulus operator show whether a whole number is even?
Model answer
A number is even when the number modulus 2 gives 0. An odd number always leaves a remainder of 1.
6
What is the value of 7 + 3 × 2, and why?
Model answer
The value is 13. Multiplication is carried out before addition, so 3 × 2 = 6 is worked out first.

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