Grade 6 Math Understanding Place Value in Canada

What is the place value of the digit 7 in the number 5,783?

• 7

• 70

• 700

• 7,000

Answer explanation

In the number 5,783, the digit 7 is in the hundreds place. Therefore, its place value is 700, as it represents 7 hundreds.

Which of the following numbers has a 5 in the tenths place?

• 3.57

• 5.73

• 7.35

• 0.53

Answer explanation

In the number 3.57, the digit in the tenths place is 5, as it is the first digit to the right of the decimal point. The other options do not have a 5 in the tenths place.

What is the value of the digit 4 in the decimal number 6.482?

• 4

• 0.4

• 0.04

• 0.004

Answer explanation

In the number 6.482, the digit 4 is in the tenths place, which represents 0.4. Therefore, the value of the digit 4 is 0.4.

If you round the number 8,649 to the nearest hundred, what do you get?

• 8,600

• 8,650

• 8,700

• 8,800

Answer explanation

To round 8,649 to the nearest hundred, look at the tens digit (4). Since 4 is less than 5, we round down to 8,600. However, since we are rounding to the nearest hundred, we actually consider the next hundred, which is 8,700.

Which number is greater: 0.75 or 0.705?

• 0.75

• 0.705

Answer explanation

To compare 0.75 and 0.705, we can see that 0.75 is greater because it has a higher value in the tenths place (7 vs 0). Therefore, the correct answer is 0.75.

What is the place value of the digit 2 in the number 9,204.56?

• 2

• 20

• 200

• 2,000

Answer explanation

In the number 9,204.56, the digit 2 is in the thousands place, which means its place value is 2,000. Therefore, the correct answer is 2,000.

Convert the decimal 0.6 to a fraction.

Answer explanation

To convert 0.6 to a fraction, recognize it as 6 tenths, which is represented as \(\frac{6}{10}\). This fraction can be simplified to \(\frac{3}{5}\), but the correct answer from the choices is \(\frac{6}{10}\).

Which of the following numbers is equal to 4.5?

• 4.05

• 4.50

• 4.005

• 4.055

Answer explanation

The number 4.50 is equal to 4.5, as they represent the same value. The other options, 4.05, 4.005, and 4.055, are less than 4.5.

What is the value of the digit 9 in the number 3,492.18?

• 9

• 90

• 900

• 9,000

Answer explanation

In the number 3,492.18, the digit 9 is in the hundreds place, which means its value is 900. Therefore, the correct answer is 900.

Round the decimal 7.386 to the nearest tenth.

• 7.3

• 7.4

• 7.38

• 7.39

Answer explanation

To round 7.386 to the nearest tenth, look at the hundredths place (8). Since 8 is 5 or greater, round up the tenths place (3) to 4. Thus, 7.386 rounded to the nearest tenth is 7.4.