Decimal Moves with Powers of 10

• 0.035

• 35

• 350

• 3500

Answer explanation

To find the result of multiplying 3.5 by 10^2 (which is 100), calculate 3.5 * 100 = 350. Therefore, the correct answer is 350.

Tags

CCSS.5.NBT.A.2

• One place to the right

• One place to the left

• Two places to the right

• Two places to the left

Answer explanation

Dividing by 10^1 (which is 10) moves the decimal point one place to the left. Therefore, 45.6 divided by 10 becomes 4.56.

Tags

CCSS.5.NBT.A.2

Convert 0.007 to a number multiplied by a power of 10.

Answer explanation

To express 0.007 in scientific notation, we write it as 7 multiplied by 10 raised to the power of -3. This is because moving the decimal point three places to the right gives us 7, hence the correct choice is 7 \times 10^{-3}.

Tags

CCSS.5.NBT.A.2

• 0.025

• 2.5

• 25

• 250

Answer explanation

To find the result of multiplying 0.25 by 10^3, calculate 0.25 * 1000 = 250. Therefore, the correct answer is 250.

Tags

CCSS.5.NBT.A.2

• 1.234

• 12.34

• 123.4

• 1234

Answer explanation

To find the new value, divide 123.4 by 10^2 (which is 100). So, 123.4 ÷ 100 = 1.234. Therefore, the correct answer is 1.234.

Tags

CCSS.5.NBT.A.2

• One place to the right

• One place to the left

• Two places to the right

• Two places to the left

Answer explanation

When multiplying by 10^1, the decimal point moves one place to the right. Therefore, 5.67 becomes 56.7, confirming the correct choice is 'One place to the right'.

Tags

CCSS.5.NBT.A.2

Convert 4,500 to a number multiplied by a power of 10.

Answer explanation

To express 4,500 as a number multiplied by a power of 10, we can write it as 4.5 × 10^3. This is because 4,500 = 4.5 × 1,000, and 1,000 is 10 raised to the power of 3.

Tags

CCSS.5.NBT.A.2

• 0.009

• 0.09

• 0.9

• 9

Answer explanation

Dividing 0.09 by 10^1 (which is 10) shifts the decimal point one place to the left, resulting in 0.009. Therefore, the correct answer is 0.009.

Tags

CCSS.5.NBT.A.2

• 0.789

• 7.89

• 78.9

• 789

Answer explanation

Multiplying any number by 10^0 equals the number itself, since 10^0 is 1. Therefore, 7.89 multiplied by 10^0 is 7.89.

Tags

CCSS.5.NBT.A.2

Convert 0.00056 to a number multiplied by a power of 10.

Answer explanation

To convert 0.00056 to scientific notation, move the decimal point 4 places to the right, giving 5.6. Thus, it can be expressed as 5.6 × 10^{-4}, which is the correct choice.

Tags

CCSS.8.EE.A.3