Reveal Math · Unit 4 · Supplemental

Decimals & Percents

Grade 6 · Standards 6.NS.B.2, 6.NS.B.3, 6.RP.A.3c — decimal operations & percents

Name: Date:

🔘Decimal — a number with a point that shows part of a whole (3.75).

📍Place value — tenths, hundredths, thousandths after the point.

％Percent — "out of 100." 25% means 25 per 100.

🟰Equivalent forms — the same value as a fraction, decimal, or percent.

➗Long division — dividing step by step to get a decimal answer.

🧮Percent of a number — multiply the number by the percent as a decimal.

Worked Example

Step 1: Write the percent as a decimal: 25% = 0.25.

Step 2: Multiply: 0.25 × 80.

Step 3: Calculate: 0.25 × 80 = 20.

Answer: 25% of 80 is 20.

The decimal equals the percent .

To find a percent of a number, I multiply the number by .

The fraction is the same as the decimal .

Directions: Solve each problem. Show your work and use the hint cue when you need help.

Add: 3.4 + 2.75 = ______
Hint: line up the decimal points; add a zero so 3.40.
Subtract: 6.5 − 1.82 = ______
Hint: line up the points; write 6.50, then subtract.
Multiply: 0.6 × 0.4 = ______
Hint: multiply 6 × 4 = 24, then count 2 decimal places.
Divide: 4.5 ÷ 5 = ______
Hint: 45 ÷ 5 = 9, then place the decimal point.
Write 0.75 as a percent. ______
Hint: move the point two places right (×100).
Write 40% as a decimal. ______
Hint: move the point two places left (÷100).
Write 1/2 as a decimal and a percent. ______
Hint: 1 ÷ 2 = 0.5, then ×100 for the percent.
Find 10% of 250. ______
Hint: 10% is one-tenth — divide by 10.
Find 50% of 64. ______
Hint: 50% is half.
A shirt costs $20. It is 25% off. How much is the discount in dollars? ______
Hint: find 25% of 20 first.