PSHS NCE Decimals Reviewer

TEACHER ABI PSHS NCE · QUANTITATIVE ABILITY

Decimals

Read decimal place value, compare decimals, round correctly, and solve decimal operations without losing track of the decimal point.

Grade 6–7 friendlyPlace value + operationsRegular practiceQuick Fire + Mastery

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Decimals

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The decimal point is your anchor

4.583

4 is ones, 5 is tenths, 8 is hundredths, and 3 is thousandths.

Zeros can help you compare.
4.5 = 4.50 = 4.500

0.7
seven tenths

0.07
seven hundredths

DO IT FAST

Line up the decimal point

1. Compare: Add zeros if helpful, then compare from left to right.
2. Add/Subtract: Line up decimal points before calculating.
3. Multiply: Multiply as whole numbers, then count total decimal places.
4. Divide: Make the divisor a whole number by moving both decimal points the same number of places.
5. Check: Estimate first so a misplaced decimal point is easy to catch.

WORKED EXAMPLES

Six patterns you should recognize

1. Place value

What is the value of 6 in 3.462?

0.06

Six hundredths.

2. Compare decimals

Which is greater: 4.7 or 4.68?

4.70 > 4.68

4.7 is greater.

3. Round decimals

Round 8.376 to the nearest hundredth.

Look at the thousandths digit, 6. Round the hundredths digit up.

8.38

4. Add decimals

5.72 + 3.4 = 5.72 + 3.40 = 9.12

9.12

5. Multiply decimals

2.4 × 0.3

24 × 3 = 72 → 0.72

There are two decimal places total, so the product has two decimal places.

6. Divide decimals

4.8 ÷ 0.6

48 ÷ 6 = 8

8

TRY WITH ME

Which decimal is greater?

Compare 3.405 and 3.45.

1. Write 3.45 as 3.450.
2. Ones are the same: 3.
3. Tenths are the same: 4.
4. Compare hundredths: 0 and 5.

3.45 is greater. 3.450 has 5 hundredths, while 3.405 has 0 hundredths.

COMMON TRAPS

Watch out for these

Thinking more digits means a bigger decimal.
0.8 is greater than 0.75.

Not lining up decimal points.
Align places, not just the last digits.

Misplacing the decimal in multiplication.
Count decimal places after multiplying.

Moving only one decimal in division.
Move both by the same number of places.

REGULAR PRACTICE

Build the skill

These mix decimal place value, comparison, rounding, operations, and short word problems.

QUICK FIRE

Can you spot it fast?

Five short questions. Use the fastest valid method.

Question 1 of 5

FRESH MASTERY CHECK

Can you do it without hints?

Score 5/5 to verify this competency. If you miss one, a fresh set will be ready.

NEED HELP?

Decimal points still moving around?

Send Teacher Abi your result or the question that confused you. I can help you find the fastest safe method.

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