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Decimals, SM-Bank 075 MC

Which number line correctly shows the positions of 0.45, 0.05 and 0.405.?

A.

B.

C.

D.
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\(D\)

Show Worked Solution

\(\text{Placing decimals in order: }\ \ 0.05\ ,\ 0.405\ ,\ 0.45\)

\(\Rightarrow D\)

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-15-Number line decimals, smc-4461-30-Ordering decimals

Decimals, SM-Bank 026

Would 3.4 be approximately equal to 3 or 4 when rounded to the nearest whole number?  (1 mark)

--- 2 WORK AREA LINES (style=lined) ---

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`3`

Show Worked Solution

Method 1.

`text(Test 3:)\ 3.4-3 = 0.4`

`text(Test 4:)\ 4-3.4 = 0.6`

`:.\ 3.4 ~~ 3\ text{(nearest whole number) as it is closer}`
 
Method 2.

`text(Using a number line)`
 

`:.\ 3.4 ~~ 3\ text{(nearest whole number) as it is closer}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-10-Place value decimals, smc-4461-15-Number line decimals, smc-4461-25-Rounding decimals

Decimals, SM-Bank 025

Would 2.47 be approximately to 2.4 or 2.5 when rounded to 1 decimal place?  (1 mark)

--- 2 WORK AREA LINES (style=lined) ---

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`2.5`

Show Worked Solution

Method 1.

`text(Test 2.4:)\ 2.47-2.4 = 0.07`

`text(Test 2.5:)\ 2.5-2.47 = 0.03`

`:.\ 2.47 ~~ 2.5\ text{(1 d.p.) as it is closer}`
 
Method 2.

`text(Using a number line)`

`:.\ 2.47 ~~ 2.5\ text{(1 d.p.) as it is closer}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-10-Place value decimals, smc-4461-15-Number line decimals, smc-4461-25-Rounding decimals

Decimals, SM-Bank 003

The arrow points to a position on the number line.

Giving your answer as a decimal, what number is at this position?  (1 mark)

 

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`-1.5`

Show Worked Solution

`-1.5`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-15-Number line decimals

Decimals, SM-Bank 007 MC

Connie is reading the outside temperature during winter in her hometown.

What is the value of the point marked  `text(P)`  on this temperature scale?
 
 

  1. `-3.4^@text(C)`
  2. `-3.8^@text(C)`
  3. `-2.1^@text(C)`
  4. `-2.2^@text(C)`
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`D`

Show Worked Solution
`text(Each increment)` `= 0.2^@text(C)`
`:.\ text(Value of  P)` `= -2 + (- 0.2)`
  `= -2.2^@text(C)`

`=> D`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-15-Number line decimals

Decimals, SM-Bank 008

What is the value of `P`?  (2 marks)

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`2.475`

Show Worked Solution

`text(4 increments = 0.1)`

`=>\ text(1 increment)` `= 0.1 ÷ 4`
  `= 0.025`

 

`:. P` `= 2.4 + 3 xx 0.025`
  `= 2.475`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-15-Number line decimals

Decimals, SM-Bank 011

 
Which decimal number is the arrow pointing to on this number line?  (1 mark)

--- 2 WORK AREA LINES (style=lined) ---

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`22.25`

Show Worked Solution

`text(Halfway between 0 and 0.5 = 0.25)`

`:.\ text(Halfway between 22.0 and 22.5)`

`= 22.25`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-15-Number line decimals

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