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Questions and Answers
What is the result of multiplying 3.7734 by 100?
What is the result of dividing 32.2 by 10?
What is the result of multiplying 110 by 500?
What is the result of multiplying 99.67 by 1000?
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What is the result of multiplying 1.729 by 1000?
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What is the value of 5 + 6 × (7 – 5)?
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What is the value of 4 × 5 - 10?
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What is the smallest number in the set: 48, 572, 309, 6479, 517, 7?
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What is the largest number in the set: 0.4, 0.303, 0.43, 0.31, 0.44, 0.043?
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How much money does Jack have altogether after his grandma gives him £25?
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What is the purpose of using opposite operations in math?
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What happens when you add a number to another number and then subtract the same number?
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How much does Jack have left after spending £8.90 on a new computer game?
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What operation is the opposite of multiplication?
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What is the result of multiplying 7 by 5?
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What is the next multiple of 7 after 28?
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Why do many people find subtraction and division harder than addition and multiplication?
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What is the result of multiplying 3 by 4 and then dividing by 4?
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What is the advice given when using a calculator?
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What is the benefit of learning opposite operations?
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What is the purpose of splitting big numbers into columns and parts?
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What is the total amount of money Simon has after stealing 14p from his sister?
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What is the name of the column that represents the thousands in a number?
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How many coconuts are in the box after Michelle empties all of them?
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What is the purpose of lining up the columns when splitting a number into its parts?
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What is the value of the 'TENS' column in the number 3 232 594?
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How should you split the number 3 232 594 into its parts?
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What is the purpose of knowing the names of all the columns when working with whole numbers?
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What is the term for the process of breaking down a number into its parts?
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What is a factor of a number?
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What is the HCF of 22, 33, and 110?
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Which of the following numbers is prime?
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What is the purpose of a factor tree?
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What is the factor of 22 that is not a factor of 11?
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What is the number of factors of 110?
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What is the relationship between the factors of 22 and 11?
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What is the prime factor of 33?
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Study Notes
Calculator Tips
- To avoid mistakes, break down big calculations into smaller stages and show all your working.
- Don't reach straight for your calculator; instead, do it step by step to get the right answer.
Ordering Numbers and Place Value
- Split big numbers into columns and parts to read, write, and order them easily.
- Learn the names of the columns: millions, thousands, hundreds, tens, and ones.
- Split a number into its parts, lining up the columns to read the numbers clearly.
Add, Subtract, Multiply, and Divide
- Adding and subtracting are opposite operations; use them to check your answers.
- Start with a number, add or subtract, and then use the opposite operation to get back to the original number.
- Multiplying and dividing are also opposite operations; use them to check your answers.
- Start with a number, multiply, and then divide by the same number to get back to the original number.
Multiplying by 10, 100, 1000, etc.
- To multiply by 10, 100, 1000, etc., move the decimal point to the right and add zeros if necessary.
- The number of places you move the decimal point depends on the number of zeros in the multiplier.
- Multiply by 2, 3, 8, etc., first, and then move the decimal point accordingly.
Dividing by 10, 100, etc.
- To divide by 10, 100, 1000, etc., move the decimal point to the left and remove zeros if necessary.
- The number of places you move the decimal point depends on the number of zeros in the divisor.
Negative Numbers
- Numbers less than zero are negative.
- You can add, subtract, multiply, and divide with negative numbers.
Factors, HCF, and Prime Numbers
- The factors of a number are all the numbers that divide into it.
- Find all the factors of a given number to identify its prime factors.
- A prime number is a number with only two factors: 1 and itself.
- Find the HCF (Highest Common Factor) by looking for the highest number that is a factor of all given numbers.
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Description
Learn how to effectively use your calculator to get the right answers by breaking down calculations into stages and showing your work.
