starter activity muncher challenge (individual work, in silence) you have five minutes to answer as...
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Starter Activity
Muncher Challenge(Individual work, in silence)
You have five minutes to answer as many of the questions on the sheet and score
the most amount of points.
There is a bonus question on the bottom of the sheet for extra marks
Decimals
LO:- To be able to order decimals ranging from 1dp to 3dp.
MUST:- be able to read a decimal from a number line.SHOULD:- be able to state whether a decimal is large or smaller than another up to three decimal placesCOULD:- to be able to order decimals
Which number is bigger:
1.72 or 1.702?
To compare two decimal numbers, look at each digit in order from left to right:
These digits are the same.
1 . 7 2
1 . 7 0 2
These digits are the same.
1 . 7 2
1 . 7 0 2
The 2 is bigger than the 0 so:
1 . 7 2
1 . 7 0 2
1.72 > 1.702
Comparing decimals
Which number is bigger:
2.53 or 2.523?
To compare two decimal numbers, look at each digit in order from left to right:
These digits are the same.
2 . 5 3
2 . 5 2 3
These digits are the same.
2 . 5 3
2 . 5 2 3
The 3 is bigger than the 2 so:
2 . 5 3
2 . 5 2 3
2.53 > 2.523
Comparing decimals
Which measurement is bigger:
5.36 kg or 5371 g?
To compare two measurements, first write both measurements using the same units.
We can convert the grams to kilograms by dividing by 1000:
5371 g = 5.371 kg
Comparing decimals
These digits are the same.
5 . 3 6
5 . 3 7 1
These digits are the same.
5 . 3 6
5 . 3 7 1
The 7 is bigger than the 6 so:
5 . 3 6
5 . 3 7 1
Next, compare the two decimal numbers by looking at each digit in order from left to right:
5.36 < 5.371
Which measurement is bigger:
5.36 kg or 5.371 kg?
Comparing decimals
Fractions
>(greater than)
<(less than)
=(equal to)
Fill in the missing words:- 1.5kg is ………….. 1.55kg.
Fractions
>(greater than)
<(less than)
=(equal to)
Fill in the missing words:- 3.74km is ………….. 3.739km.
Fractions
>(greater than)
<(less than)
=(equal to)
Fill in the missing words:- 12.567cm is ………….. 12.566cm.
Fractions
>(greater than)
<(less than)
=(equal to)
Fill in the missing words:- 1.5kg is ………….. 1500g.
Fractions
>(greater than)
<(less than)
=(equal to)
Fill in the missing words:- 0.734km is ………….. 740m.
Fractions
>(greater than)
<(less than)
=(equal to)
Fill in the missing words:- 0.734km is ………….. 740m.
4.67 4.74.717 4.77 4.73 4.074.67 4.717 4.734.77 4.074.74.67 4.717 4.77 4.074.73 4.74.67 4.717 4.77 4.73 4.70 4.074.717 4.77 4.73 4.7
Write these decimals in order from smallest to largest:
To order these decimals we must compare the digits in the same position, starting from the left.
The digits in the unit positions are the same, so this does not help.
Looking at the first decimal place tells us that 4.07 is the smallest followed by 4.67
Looking at the second decimal place of the remaining numbers tells us that 4.7 is the smallest followed by 4.717, 4.73 and 4.77.
The correct order is:
4.07 4.67 4.7 4.717 4.73 4.77
Ordering decimals
0.69 0.5230.691 0.517 0.513 0.511
Write these decimals in order from smallest to largest:
Ordering decimals
2.23 2.2312.234 2.232 2.41 2.023
9.99 9.9899.919 9.999 9.981 9.997
7.12 7.2117.21 7.121 7.112 7.111
0.134 0.0380.031 0.31 0.301 3.032
5.43 5.3745.371 5.077 5.35 5.501
Write these decimals in order from smallest to largest:
Ordering decimals
5.43 5.3745.371 5.077 5.35 5.501
Write these decimals in order from smallest to largest:
Ordering decimals
0.69 0.5230.691 0.517 0.513 0.511
Write these decimals in order from smallest to largest:
Ordering decimals
2.23 2.2312.234 2.232 2.41 2.023
Write these decimals in order from smallest to largest:
Ordering decimals
9.99 9.9899.919 9.999 9.981 9.997
Write these decimals in order from smallest to largest:
Ordering decimals
7.12 7.2117.21 7.121 7.112 7.111
Write these decimals in order from smallest to largest:
Ordering decimals
0.134 0.0380.031 0.31 0.301 3.032
Rational numbersAny number that can be written in the form (where a and b are integers and b ≠ 0) is called a rational number.
ab
We have seen that all terminating and recurring decimals can be written as fractions in the form . This means that they are also rational.
ab
All integers are rational because they can be written as
the integer
1
All of the following are rational:
7 –12 0.3.
8 34
67 43.721