SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Decimals, SM-Bank 074

Shannon is buying materials to make a bookcase.

She rounds each price in the table below to the nearest dollar to estimate the total cost of the materials.

Materials
Item Cost
hammer $5.65
glue $3.95
wood $11.55
nails $1.60
stain $3.85

How much is Shannon's estimate?  (2 marks)

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

Show Answers Only

\($28\)

Show Worked Solution

\(\text{Rounding each item to the nearest dollar:}\)

\(\text{hammer}\) \(=$6\)
\(\text{glue}\) \(= $4\)
\(\text{wood}\) \(=$12\)
\(\text{nails}\) \(=$2\)
\(\text{stain}\) \(=$4\)

  
\(\text{Shannon’s Estimate}=$6+$4+$12+$2+$4=$28\)

 

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals, smc-4461-40-Add/Subtract decimals, smc-4461-55-Word problems decimals

Decimals, SM-Bank 031

Use a calculator to find `29.50072 div 8`.

Write your answer and then round to 1 decimal place.  (2 marks)

Show Answers Only

`3.68759 ~~ 3.7\ text{(1 d.p.)}`

Show Worked Solution
`29.50072 div 8` `=3.68759`  
  `~~ 3.7\ text{(1 d.p.)}`  

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals, smc-4461-55-Word problems decimals

Decimals, SM-Bank 030

Min was competing in the long jump at the athletics carnival.

The lengths of her jumps are listed in the table below.

Long Jump Distances
4.325 m 4.589 m 4.283 m

What was her longest jump, rounded to 2 decimal places.  (2 marks)

Show Answers Only

`4.59\ text{m (2 d.p.)}`

Show Worked Solution

`4.589 ~~ 4.59\ text{m (2 d.p.)}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals, smc-4461-55-Word problems decimals

Decimals, SM-Bank 029

Round 139.98 to 1 decimal place.  (1 mark)

Show Answers Only

`140.0`

Show Worked Solution

`139.98 ~~ 140.0\ text{(1 d.p.)}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals

Decimals, SM-Bank 028

Round 45.796 to 2 decimal places.  (1 mark)

Show Answers Only

`45.80`

Show Worked Solution

`45.796 ~~ 45.80\ text{(2 d.p.)}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals

Decimals, SM-Bank 027

Round 123.4567 to 2 decimal places.  (1 mark)

Show Answers Only

`123.46`

Show Worked Solution

`123.4567 ~~ 123.46\ text{(2 d.p.)}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding 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) ---

Show Answers Only

`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) ---

Show Answers Only

`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 005

It takes a ray of sunlight 479.746 seconds to reach the earth from the sun.

How long is this, rounded to two decimal places?  (1 mark)

Show Answers Only

`479.75`

Show Worked Solution
`text(Time)` `= 479.746`
  `=479.75\ text{seconds (to 2 d.p.)}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals

Decimals, SM_Bank 012

The average cost of manufacturing a car tyre is calculated in dollars, and shown below.
 

What is the average cost rounded to the nearest 5 cents?  (1 mark)

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

Show Answers Only

`$17.95`

Show Worked Solution
`text(Average Cost)` `= $17.943701`
  `= 17.94\ text{(2 decimal places)}`
  `~~ $17.95\ text{(nearest 5 cents)}`

Filed Under: Decimals Tagged With: num-title-ct-core, smc-4461-25-Rounding decimals

Copyright © 2014–2025 SmarterEd.com.au · Log in