JUNIOR NUMBER PART 1
know forward and backward Counting sequences for whole numbers To At Least 10,000 [l2/l3]
These questions (above) test your ability to count forwards and in reverse by a specified amount. First, you have to work out what that amount is and then in which direction. The numbers are also designed to test your knowledge of place value because the numbers in the units column will "flow or spill" into the next column when you either subtract or add.
Activity 1 Find the next 2 numbers in each sequence:
a) 40086, 40088...
b) 78365, 78370...
c) 28010, 28005...
d) 460990, 460995...
e) 100010, 100005...
a) 40086, 40088...
b) 78365, 78370...
c) 28010, 28005...
d) 460990, 460995...
e) 100010, 100005...
know how many ones, tens, and hundreds are in whole numbers to at least 1000 (This is about place value, l2)
Again this is a test of place value knowledge. Can you identify the values of these numbers?
e.g. 547 = 7 ones , 4 tens and 5 hundreds.
Try these and then check out the video when you are done:
a) 485
b) 40
c) 602
d) 793
e.g. 547 = 7 ones , 4 tens and 5 hundreds.
Try these and then check out the video when you are done:
a) 485
b) 40
c) 602
d) 793
Activity 2
identify the place value of the digits in each of these numbers.
a) 21
b) 310
c) 408
d) 5002
e) 999
identify the place value of the digits in each of these numbers.
a) 21
b) 310
c) 408
d) 5002
e) 999
Know how many tenths, tens, hundreds, and thousand are in whole numbers (level 4)
1) How many thousands are in 430?
2) How many tenths are in 430?
3) How many tens are in 430?
4) How many hundreds are in 430?
If you divide a number by 1000 then move the decimal point 3 places to the left.
So 430/1000 = 0.43
If you divide a number by 100 then move the decimal point 2 places to the left.
So 430/100 = 4.3
If you divide a number by 10 then move the decimal point 1 place to the left.
So 430/10 = 43
If you divide a number by 1/10 its the same as multiplying by 10 so move the decimal point to the right.
So 430/1/10 = 430 x 10 = 4300
2) How many tenths are in 430?
3) How many tens are in 430?
4) How many hundreds are in 430?
If you divide a number by 1000 then move the decimal point 3 places to the left.
So 430/1000 = 0.43
If you divide a number by 100 then move the decimal point 2 places to the left.
So 430/100 = 4.3
If you divide a number by 10 then move the decimal point 1 place to the left.
So 430/10 = 43
If you divide a number by 1/10 its the same as multiplying by 10 so move the decimal point to the right.
So 430/1/10 = 430 x 10 = 4300
Another way to work out how many times tenths, tens, hundreds, thousands etc go into a whole number is by creating a table above. You need to recognize the patterns it creates. Although you are not asked how many one's and hundredths go into 430, 1 is a good place to start. So under the '1' column heading you write 430 because 430 divided by 1 = 430.
Working to the right of 1 move the decimal point right one place each time (or add a zero each time, so 430 becomes 4300 and 43000 etc). Now working to the left, move the decimal point one place each time. So 430 becomes 43 which then becomes 4.3 and finally 0.43. Patterns are a recognized method in number and algebra but the disadvantage is that you still might not understand the real maths behind this (even though you get the credit for it).
Working to the right of 1 move the decimal point right one place each time (or add a zero each time, so 430 becomes 4300 and 43000 etc). Now working to the left, move the decimal point one place each time. So 430 becomes 43 which then becomes 4.3 and finally 0.43. Patterns are a recognized method in number and algebra but the disadvantage is that you still might not understand the real maths behind this (even though you get the credit for it).
Activity 3
a) How many thousands are in 540?
b) How many tenths are in 540?
c) How many tens are in 540?
d) How many hundreds are in 540?
a) How many thousands are in 540?
b) How many tenths are in 540?
c) How many tens are in 540?
d) How many hundreds are in 540?
Activity 3b
a) How many thousands are in 48?
b) How many tenths are in 2170?
c) How many tens are in 9460?
d) How many hundreds are in 54?
a) How many thousands are in 48?
b) How many tenths are in 2170?
c) How many tens are in 9460?
d) How many hundreds are in 54?
know the size and place value of positive and negative integers and decimals . (l4)
Use the <, = or > symbols to show how the numbers compare, where < is the less than symbol, = the equal to symbol and >, the greater than symbol. Answers in the video tutorial below.
1) 0.274____________ 0.81
2) -20 ____________ -1
3) 15 ____________ -11
1) 0.274____________ 0.81
2) -20 ____________ -1
3) 15 ____________ -11
Order each group from largest to smallest.
1) 0.557, 0.056, 0.6, 0.54
2) 7.44. 0.074, 0.74, 0.8
1) 0.557, 0.056, 0.6, 0.54
2) 7.44. 0.074, 0.74, 0.8
Activity 4
a) 7______-5
b) -6_____-11
c) 0.911_____0.94
Order large to small
d) -6,6,-3,3,0,-5
e) -8,7,-4,0,-9
a) 7______-5
b) -6_____-11
c) 0.911_____0.94
Order large to small
d) -6,6,-3,3,0,-5
e) -8,7,-4,0,-9
know basic multiplication and division facts (l3)
Write out some sets of timetables at the back of your books. You can then use it as a reference. Activity 5a
Complete the following multiplications table
Complete the following multiplications table
Activity 5b
Complete the following divisions table
Complete the following divisions table
multiplication and division facts l4 - a little harder
Activity 6
addition and subtraction of decimals l4
Activity 7
Compute the following:
1) 7.6 - 2.4 =
2) 11.4 - 4.8 =
3) -3 - 5 =
4) 22 - 24 =
5) 5.54 + 4.4 =
6) 8.3 + 2.17 =
Compute the following:
1) 7.6 - 2.4 =
2) 11.4 - 4.8 =
3) -3 - 5 =
4) 22 - 24 =
5) 5.54 + 4.4 =
6) 8.3 + 2.17 =
Subtract the following numbers. Focus on layout with columns and then a method that works for you. If you are not sure, learn the "borrow 1000, borrow 100, borrow 10" etc. method.
Activity 8:
1) 56.03 - 21.02 [35.01]
2) 108.23 - 9.85 [98.38]
3) 2124 - 1256 [868]
4) 5707 - 2618 [3089]
5) 2007 - 1679 [328]
6) 30010 - 29022 [988]
Activity 8:
1) 56.03 - 21.02 [35.01]
2) 108.23 - 9.85 [98.38]
3) 2124 - 1256 [868]
4) 5707 - 2618 [3089]
5) 2007 - 1679 [328]
6) 30010 - 29022 [988]
Activity 9
1) 78.22 - 21.65 [56.57]
2) 4567 - 2178 [2389]
3) 800100 - 5 [800095]
4) 64006-158 [63848]
5) 2018 - 57 [1961 - when I was born]
1) 78.22 - 21.65 [56.57]
2) 4567 - 2178 [2389]
3) 800100 - 5 [800095]
4) 64006-158 [63848]
5) 2018 - 57 [1961 - when I was born]
multiplication and division of decimals
Before multiplying, remove the decimal points. Once the answer has been obtained replace the decimal point. This means that in 1), write it as '8 x 26' to get 208. If you look at the original multiplication problem the 8 has zero numbers after the decimal point and the 2.6 has one number after the decimal point. 0 + 1 = 1, so in 208 move the decimal point 1 place to the left to get 20.8 Probably easier to follow in the tutorial video below.
Activity 10
Compute the following:
1) 8 x 2.6 =
2) 1.2 x 4.3 =
3) 6 x 0.27 =
4) 0.5 x 0.24 =
Compute the following:
1) 8 x 2.6 =
2) 1.2 x 4.3 =
3) 6 x 0.27 =
4) 0.5 x 0.24 =
use a range of strategies when operating on whole numbers
The following tutorial uses the vertical algorithm. An algorithm is a method or set of rules needed to carry out a calculation. The word algorithm is more commonly used with computers.
test 1 (activity 11)
Answers