Fifth Grade Math

Identify place value of 7 in 3.476.

Hundredths.

Write 4.237 in expanded form.

4 + (2 × 0.1) + (3 × 0.01) + (7 × 0.001).

Write "seven hundredths" in standard form.

0.07.

Compare 0.8 and 0.75.

0.8 > 0.75.

Explain how to place decimals on a number line.

Place decimals between whole numbers, dividing intervals into tenths, hundredths, etc.

Convert 3/4 to a decimal.

0.75.

Add 4.35 + 2.61.

6.96.

Add 0.56 + 0.14.

0.7.

Explain the importance of aligning place values when adding decimals.

Ensures correct addition of corresponding tenths, hundredths, etc.

Subtract 1.2 - 0.8.

0.4.

Subtract 7.23 - 4.15.

3.08.

Explain the importance of aligning place values when subtracting decimals.

Ensures correct subtraction of corresponding tenths, hundredths, etc.

Add 2/5 + 3/7.

29/35.

Subtract 5/8 - 1/6.

11/24.

Add 2 1/3 + 1 2/5.

3 11/15.

What is the least common denominator (LCD)?

The smallest number both denominators can divide into.

Estimate 342 × 56.

18,000.

Divide 865 ÷ 42.

20 remainder 25.

What is the process of estimating multi-digit division?

Rounding to simpler values before dividing.

Multiply 2/3 × 4/5.

8/15.

Multiply 2 1/4 × 3 1/2.

7 7/8.

How do you multiply mixed numbers?

Convert to improper fractions, then multiply.

What is 5 ÷ 1/2?

10.

What is 1/5 ÷ 3?

1/15.

How do you relate fraction division to multiplication?

By multiplying by the reciprocal of the divisor.

Multiply 4.5 × 3.

13.5.

Multiply 0.3 × 0.6.

0.18.

How do you determine the placement of a decimal point in a product?

By counting total decimal places in the factors.

Concept of Decimal division.

Understanding how to divide decimals by whole numbers and vice versa.

What is the general rule when dividing by decimals?

Move the decimal point in the divisor to make it a whole number, and move the decimal point in the dividend the same amount.

What is 34 × 10?

340.

What is 12.34 ÷ 100?

0.1234.

How does multiplying by powers of 10 affect the decimal point?

Shifts it right.

Volume of a 2x3x5 rectangular prism.

30 cubic units.

What does decomposing a figure for volume mean?

Breaking the figure into smaller, easier-to-calculate prisms.

What is the formula for the volume of a rectangular prism?

Length × Width × Height.

What is the origin on a coordinate plane?

(0, 0).

What is the horizontal distance from (-2,3) to (4,-1)?

6 units.

How are points represented on a coordinate plane?

As ordered pairs (x, y).

What is an expression?

A mathematical phrase without an equal sign.

Describe a number pattern.

A sequence of numbers with a specific rule.

What is the purpose of using variables in expressions?

To represent unknown or changing values.

How many hours in 3 days?

72 hours.

How many meters in 5 kilometers?

5000 meters.

How many feet in 2 miles?

10,560 feet.

Why is it important to know how to convert units?

To solve real-world problems involving different units.

What does a line plot show?

Data along a number line.

How do you interpret a line plot?

Analyze markers for frequency and trends.

What is the purpose of using line plots?

To visualize and analyze data distribution.

What is an equilateral triangle?

All sides and angles are equal.

What is a rectangle?

Four right angles, opposite sides equal.

What are properties of shapes?

Characteristics like side lengths, angles, and symmetry.

What is the sum of the angles in a quadrilateral?

360 degrees.