7NS1 & 7NS2 Add and Subtract Rational Numbers
A bird flies 4.5 meters above sea level. It then dives down 4.5 meters to land on the water. Write and solve an addition equation for this scenario.
4.5 + (-4.5) = 0
-24
What are the first six prime numbers?
2, 3, 5, 7, 11, 13
Simplify the square root of 14 squared.
14
A worker cuts 3.5 meters of wire from a spool. Later that day, they add back a piece of wire measuring 1.25 meters. If they started with 8.6 meters of wire, calculate the remaining length using a step-by-step decimal algorithm.
8.6 - 3.5 = 5.1
5.1 + 1.25 = 6.35 meters
On Monday, a stock price changed by -$2.25. On Tuesday, it changed by +$1.50. Find the total change and interpret the sum.
-2.25 + 1.50 = -0.75
The stock price decreased by $0.75 overall.
Use the distributive property to evaluate the expression 5(2 + -2). SHOW THE DISTRIBUTION and the ANSWER.
10 + -10
0
Find the prime factorization of 72. Write your final answer using exponents.
23 x 32
Solve for x in the equation below by using inverse operations:
(square root of x)2 = 81
81
Evaluate the expression (-2.4) x 1.5 using the standard multiplication algorithm for signed decimals.
-3.6
A hiker starts at 12 1/2 feet below sea level. They climb up 20 3/4 feet. Find and interpret their new elevation.
-12 1/2 + 20 3/4 = 8 1/4 feet (or 8.25 feet)
A student says that the fraction - 8/2 is completely different from (-8)/2 and 8/(-2). Evaluate all three expressions to prove whether the student is correct or incorrect.
- 8/2 = -4
(-8)/2 = -4
8/(-2) = -4
The student is INCORRECT since all three fractions equal -4.
What is the prime factorization of 98? Use exponents to show repeated multiplication.
2 x 72
A square-shaped playground has a total area of144 square meters. What is the side length of the playground?
length = 12 meters
Computer 14.28 / (-0.4) using the standard long division algorithm.
-35.7
The morning temperature was - 5 degrees. The afternoon temperature was 8 degrees. Show how to find the distance between these temperatures using absolute value.
|-5 - 8 | = 13 degrees
An underwater drone's elevation changes by -15 meters every 3 minutes. What the speed at which the drone descends?
-15/3 = -5 meters per minute
Write the prime factorization of 120 using exponents.
23 x 3 x 5
square root of 64 + square root of 25
8 + 5 = 13
Evaluate the following expression by finding a common denominator:
3/4 + (-5/6)
-1/12
A submarine is at -150.5 feet. A helicopter flies directly above it at 450.2 feet. Find the total vertical distance between them.
| 450.2 - (-150.5)| = 600.7 feet
- 3/5 = A/5 = 3/B
A = -3
B = -5
A number has a prime factorization of 24 x 3 x 5. What is the original whole number?
240
Square root of 400 - 32
20 - 9 = 11
Solve the following expression using the fraction division algorithm:
7/9 divided by (-14/3)
-1/6