Thousandths as decimals - Free MCQ Practice Test with solutions, Year 6

0.345 is read as "three hundred forty-five thousandths", where "three" represents the hundreds place, "four" the tens place, and "five" the units place.

0.0025 equals 2.5 thousandths because 2.5 × 0.001 = 0.0025. In words this is 'two and a half thousandths.'

0.067 as a fraction is 67/1000, and since 67 and 1000 share no common factors (they are coprime), the fraction is already in simplest form.

To convert 7/1000 to a decimal, follow these steps:

• Divide 7 by 1000.
• Recognise that 1000 is 10³.
• Move the decimal point three places to the left.
• This results in 0.007.

To determine which fraction is equivalent to 0.6, we can convert the decimal to a fraction by writing it as 6/10. Simplifying this fraction involves the following steps:

• Divide the numerator (6) by 2.
• Divide the denominator (10) by 2.

This simplification yields 3/5, confirming that:

• Option B (6/10) is correct.

To convert 0.024 to a percentage, follow these simple steps:

• Multiply 0.024 by 100.
• This calculation gives: 0.024 × 100 = 2.4%.

Therefore, the correct answer is B, 2.4%.

0.075 as a fraction is 75/1000, which simplifies to 75/1000 because 75 and 1000 are coprime.

To find the decimal form of the fraction 3/250​, let's perform the division:

3/250=3÷250=0.012

Here's the step-by-step explanation of the division:

1. 3÷250 cannot be divided directly since 3 is smaller than 250.
2. Add a decimal point and a zero to 3, making it 30. Now divide 30 by 250, which results in 0 with a remainder of 30.
3. Add another zero to 30, making it 300. Now divide 300 by 250, which gives 1 (since 250×1=250) with a remainder of 50.
4. Add another zero to 50, making it 500. Now divide 500 by 250, which gives 2 (since 250×2=500) with no remainder.

Thus, the decimal equivalent of 3/250​ is 0.012.

Therefore, the correct answer is:

1. 0.012.

To find a thousandth less than 0.876, we subtract 0.001 from 0.876.

Calculation:

• 0.876 - 0.001 = 0.875

Thus, the correct answer is option B (0.875).

To compare 0.125 and 0.12, you can follow these steps:

1. Convert the numbers to the same decimal places:

   • 0.125 has three decimal places.
   • 0.12 has two decimal places. To make a direct comparison, you can add an extra zero to make it 0.120.

2. Compare the decimal numbers:

   • 0.125 (which is 0.125) is greater than 0.120 (which is 0.12).

So, the answer is:

1. 0.125 is greater than 0.12.