Adding/Subtracting Integers
Scientific Notation
Multiplying/Dividing Integers
Place Value
Word Problems
100

(−8)+12−(−5)

−8+12

=4
4−(−5)

=4+5

=9

100

Write the following number in Scientific Notation. 

56 000 000 000 000 000 000 000 000

5.6 x 1025

100

(−6)(−5)÷3

Solution:
(−6)(−5)=30
30÷3=10
Answer: 10

100

What is the place value of digit 5 in the following number?

654 000 000

ten million

100

Problem:
A player in a game earns 10 points, loses 15 points, and then gains 7 points. What is the player’s final score?

Equation:
10−15+7=2

Answer:
The player's final score is 2 points.

200

(−6)+12−8+(−3)

−6+12=6
6−8=−2
−2+(−3)=−5
Answer: -5

200

Write the following number in standard form. 

4.35 x 10-8

0.0000000435

200

(−12)÷(−4)(−3)

Solution:
−12÷−4=3
(3)(−3)=−9
Answer: -9

200

What is the place value of the 6 in the following number: 

0.00000000456

hundred billionths

200

Problem:
A submarine descends 20 meters per minute. How far will it descend in 6 minutes?

Equation:
−20×6=−120

Answer:
The submarine will descend 120 meters below sea level.

300

(−20)−(−5)+(−7)

−20−(−5)=−20+5=−15
−15+(−7)=−22
Answer: -22

300

Write the following number in Scientific notation. 

34 050 000 000 000 000

3.405 x 1016

300

(−15)(2)÷(−5)(−4)

Solution:
(−15)(2)=−30
−30÷−5=6
(6)(−4)=−24
Answer: -24

300

Place value of the 7 in the following number: 

857 000 000 000 000 000 000

Quintillions

300

Problem:
During a football game, a team gained 12 yards on the first play, lost 18 yards on the second play, and gained 7 yards on the third play. What is the team’s total yardage after the three plays?

Equation:
12−18+7=1

Answer:
The team’s total yardage is 1 yard.

400

(−10)+8−(−6)+(−2)

−10+8=−2
−2−(−6)=−2+6=4
4+(−2)=2
Answer: 2

400

Write the following number in scientific notation: 

0.000000000000000000032406

3.2406 x 1020

400

(−18)(−7)÷3(−2)

(−18)(−7)=126

126÷3=42

(42)(−2)=−84

Answer: -84

400

Write this number in written form: 

0.00000000000239

two hundred thirty nine billionths. 

400

Problem:
A company lost $240 over 8 days, with the loss being the same each day. What was the company’s daily loss?

Equation:
−240÷8=−30

Answer:
The company lost $30 per day.

500

(−125)+340−(−275)+(−460)

−125+340=215

215−(−275)=215+275=490

490+(−460)=30

Answer: 30 ✅

500

Write the following number is standard form: 

3.456 x 107

34 560 000

500

(−24)÷(−6)(−5)÷(−2)

−24÷−6=4

(4)(−5)=−20

−20÷−2=10

Answer: 10

500


The number 7 402 053 190 has two digits “2” and “4” in it.

  1. How many times greater is the place value of 4 than the value of 2?

Step-by-step solution:

  1. The digit 4 is in the hundred millions place:
    → Place value = 4×100 000 000=400 000 000

  2. The digit 2 is in the ten millions place:
    → Value = 2×10 000 000=20 000 000

  3. To find how many times greater 400 000 000 is than 20 000 000:
    400 000 000 / 20 000 000 =20

500

A mountain hiker starts at an elevation of 1,200 meters. On the first day, he descends 300 meters. On the second day, he climbs up 450 meters. On the third day, he descends 2 times the amount he descended on the first day. What is his final elevation?

Step-by-step:

  • Start: 1200

  • Day 1: 1200−300=900

  • Day 2: 900+450=1350

  • Day 3: Descends 2×300=600 → 1350−600=750

Answer:
The hiker’s final elevation is 750 meters.

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