Numbers and Decimals

Movement of the Decimal Point

Adding and Subtracting Fractions and Decimals

Multiplying Decimals

Convert Fraction to Decimal Using Long Division

Convert Recurring Decimals to Fractions

Negative Numbers

Rational Numbers and their location on a Number Line

Adding and Subtracting Negative Numbers

Multiplying and Dividing Negative Numbers

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Absolute Value

Numbers and Decimals Absolute Value

Courses Overview

🎬 Video Tutorial

(0:01) What is Absolute Value?
(0:46) Simplifying Absolute Values
(1:50) Calculating Negative Numbers – Case 1
(2:45) Calculating Negative Numbers – Case 2

📂 Revision Cards

The definition of absolute value, examples include |5| = 5, |0| = 0, and |-3| = 3. — 1) Absolute Value

Two examples simplifying absolute values, showing final results of 9 and 15 after applying absolute value rules. — 2) Simplifying Absolute Values

Absolute value calculation when both numbers are negative, e.g., –30 – 120 = –150, by adding absolute values and keeping the negative sign. — 3) Calculating Negative Numbers - Case 1

Absolute value calculation with different signs by subtracting absolute values and keeping the sign of the larger; e.g., –65 + 15 = –50. — 4) Calculating Negative Numbers - Case 1

🍪 Quiz Time - Practice Now!

0%

Absolute Value

1 / 6

Q: Calculate |-3 × 7| + 5.

23

-16

16

26

Feedback: Not quite! First, calculate -3 × 7, which is -21. The absolute value of -21 is 21. Then, 21 + 5 equals 26.

Feedback: Well done! First, calculate -3 × 7, which is -21. The absolute value of -21 is 21. Then, 21 + 5 equals 26.

2 / 6

Q: What is the absolute value of -17?

-7

17

1

-17

Feedback: Not quite! The absolute value of a negative number is the number without its negative sign. So, |-17| = 17.

Feedback: Well done! The absolute value of a negative number is the number without its negative sign. So, |-17| = 17.

3 / 6

Q: Solve: |-12| - |-3 - 7|.

2

-4

8

-2

Feedback: Not quite! Start by finding the absolute values: |-12| = 12 and |-3 - 7| = |-10| = 10. Then calculate: 12 - 10 = 2.

Feedback: Well done! Start by finding the absolute values: |-12| = 12 and |-3 - 7| = |-10| = 10. Then calculate: 12 - 10 = 2.

4 / 6

Q: What is the result of this expression: -70 - 85?

-155

-78

-150

150

Feedback: Not quite! Both numbers are negative, so you add their absolute values: 70 + 85 = 155, then apply the negative sign: -155.

Feedback: Well done! Both numbers are negative, so you add their absolute values: 70 + 85 = 155, then apply the negative sign: -155.

5 / 6

Q: What is the result of this expression: 80 - 115?

-35

-135

-25

35

Feedback: Not quite! Subtract the smaller absolute value from the larger: 115 - 80 = 35. Since 115 is larger and negative, the result is -35.

Feedback: Well done! Subtract the smaller absolute value from the larger: 115 - 80 = 35. Since 115 is larger and negative, the result is -35.

6 / 6

Q: Solve: |-4 × 5| - |-8 + 3| + |6 - 9|.

18

21

17

19

Feedback: Not quite! First calculate |-4 × 5| = |-20| = 20. Then |-8 + 3| = |-5| = 5, and |6 - 9| = |-3| = 3. Substitute: 20 - 5 + 3 = 18.

Feedback: Well done! First calculate |-4 × 5| = |-20| = 20. Then |-8 + 3| = |-5| = 5, and |6 - 9| = |-3| = 3. Substitute: 20 - 5 + 3 = 18.

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