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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 009

A high school has 1000 students enrolled.

37 of the 1000 students have the first name John.

Write the fraction of students with first name John as a decimal.  (1 mark)

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`0.037`

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`37/1000 = 0.037`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-10-Place value decimals, smc-4461-35-Conversions decimals

Decimals, SM-Bank 010 MC

Which of these numbers has a 3 in the thousandths place?

  1. 0.3244
  2. 2.8309
  3. 7.8231
  4. 23 082.8915
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`C`

Show Worked Solution

`text{The digits to the right of the decimal place are (in order):}`

`text(tenths, hundredths, thousandths, …)`

`:.\ text(The correct number is 7.8231)`

`=> C`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-10-Place value decimals

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