← Mathematics / 1 Numbers
1.1 Whole Numbers
Mathematics · Grade 7 · 20 lessons in the design
What this covers
- Place value and total value of digits up to hundreds of millions
- Reading and writing numbers in symbols up to hundreds of millions
- Reading and writing numbers in words up to millions
- Expanded form of whole numbers
- Comparing and ordering whole numbers
- Rounding off numbers up to hundreds of millions
- Zero as a place holder
- Addition, subtraction, multiplication and division of whole numbers
- Order of operations (BODMAS)
- Even, odd and prime numbers
- Multiples and an introduction to factors
- Number sequences
- Whole numbers in Kenyan real-life situations, including Roman numerals
What you will be able to do
- use place value and total value of digits up to hundreds of millions in real life
- read and write numbers in symbols up to hundreds of millions
- read and write numbers in words up to millions
- write whole numbers in expanded form
- compare and order whole numbers
- round off numbers up to the nearest hundreds of millions
- classify natural numbers as even, odd and prime
- apply operations of whole numbers in real-life situations
- identify and create number sequences
- appreciate the use of whole numbers in real life
Key questions
“Why do we write numbers in words and in symbols?”
“Where do we write numbers in words or symbols?”
Lessons
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Counting and reading large numbers
40 min · 1 practice tasks · quizGroup digits in threes from the right and read millions, thousands and ones.
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Place value of digits
40 min · 1 practice tasks · quizName the column of any digit from ones to hundreds of millions.
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Total value of digits
40 min · 1 practice tasks · quizFind what a digit is worth by multiplying it by the value of its place.
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Zero as a place holder
40 min · 1 practice tasks · quizZero keeps other digits in the correct columns even though its own total value is 0.
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Writing numbers in words
40 min · 1 practice tasks · quizWrite whole numbers up to millions in Kenyan English words, with and and hyphens in the right places.
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Writing numbers in symbols and dummy cheques
40 min · 1 practice tasks · quizTurn words into figures and match both sides of a dummy school-fees cheque.
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Expanded form
40 min · 1 practice tasks · quizWrite a whole number as a sum of the total values of its digits.
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Comparing and ordering whole numbers
40 min · 1 practice tasks · quizCompare from the largest place, then order lists in ascending or descending order.
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Rounding to tens, hundreds and thousands
40 min · 1 practice tasks · quizUse a number line and the 5-or-more rule to round smaller whole numbers.
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Rounding large numbers
40 min · 1 practice tasks · quizRound to ten thousands, hundred thousands, millions and hundreds of millions using the same 5-or-more rule.
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Addition of whole numbers
40 min · 1 practice tasks · quizAdd large whole numbers in columns, regrouping when a column is 10 or more.
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Subtraction of whole numbers
40 min · 1 practice tasks · quizSubtract in columns, borrowing across zeros, and check by adding.
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Multiplication of whole numbers
40 min · 1 practice tasks · quizMultiply by splitting tens and ones, and multiply quickly by 10, 100 and 1,000.
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Division of whole numbers
40 min · 1 practice tasks · quizShare equally using long division, write remainders, and check by multiplying.
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Order of operations
40 min · 1 practice tasks · quizUse BODMAS so that combined operations on whole numbers have one agreed answer.
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Even, odd and prime numbers
40 min · 1 practice tasks · quizClassify natural numbers as even, odd or prime, and treat 1 and 2 with care.
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Multiples of whole numbers
40 min · 1 practice tasks · quizSkip-count to list multiples, test a multiple, and find simple common multiples.
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Factors introduction
40 min · 1 practice tasks · quizFind factor pairs with a rainbow, and tell prime from composite by counting factors.
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Number sequences
40 min · 1 practice tasks · quizFind the rule of a sequence, continue it, and create a number puzzle for a partner.
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Whole numbers in real life and Roman numerals
40 min · 1 practice tasks · quizSolve Kenyan word problems with a four-step method, and read Roman numerals on clocks and dates.