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Term 1 review

الأسبوع 15 · مراجعة الفصل الأول · 3 دروس
1

Review: big numbers, adding and subtracting

Discover Mathematics P4: Term 1, Units 1–8, Review
GoalReview big numbers, rounding, adding and subtracting.
New words
place value · what a digit is worth because of its placeround · to replace a number by a nearby friendly numberinverse operation · the operation that undoes another, such as + and −
Explanation

Big numbers are read in periods of three digits: ones, thousands, millions and billions. The value of a digit depends on its place, and the number can be written in standard, word or expanded form. To compare, first compare the number of digits, then the digits from the left. To round, look at the digit to the right of the rounding place: 5 or more rounds up, 4 or less rounds down. Add and subtract place by place and regroup when needed, also across zeros. Check an addition by subtracting and a subtraction by adding. In a story, a bar model shows the parts and the whole. Estimate first so that a slip is easy to see.

4,507,320
Digit4507320
Placemillionshundred thousandsten thousandsthousandshundredstensones
Value4,000,000500,00007,000300200
Worked examples
Look at 4,507,320. The digit 5 is worth 500,000. Expanded form: 4,000,000 + 500,000 + 7,000 + 300 + 20. Rounded to the nearest hundred thousand it is 4,500,000, because the next digit is 0. Rounded to the nearest million it is 5,000,000, because the next digit is 5.
Order 3,085,000, 3,058,000 and 3,805,000 from smallest to greatest. All have 7 digits and start with 3. Compare the next digits: 0, 0 and 8, so 3,805,000 is greatest. Then 8 and 5 in the next place: 3,058,000 < 3,085,000. Order: 3,058,000 < 3,085,000 < 3,805,000.
Start12,450After buying12,4503,875
A library has 12,450 books, buys 3,875 more and lends out 2,990. 12,450 + 3,875 = 16,325 and 16,325 − 2,990 = 13,335 books on the shelves. Check: 13,335 + 2,990 = 16,325. Across zeros: 50,000 − 18,764 = 31,236, and 31,236 + 18,764 = 50,000.
Class activity

Number cards. Make a 7-digit number from seven cards. Read it aloud, write its expanded form and round it to the nearest million. Swap with a grown-up and check each other.

Practice
1
Write 60,305,090 in words and give the value of the digit 3.
2
Order from greatest to smallest: 9,450,000; 9,045,000; 945,000; 9,504,000.
3
Round 8,764,215 to the nearest ten thousand and to the nearest million.
4
Add 48,375 + 36,849 and check by subtracting.
5
A stadium has 60,000 seats. 47,685 tickets are sold. How many seats are still free?