Understanding Base Conversion and Equation Solving

The video tutorial explains how to solve an equation involving different number bases. It starts by converting a number from base 2 to base 10, then rewrites the equation to isolate the variable. The tutorial explores whether the base of a number should be larger or smaller than 10, testing base 6 and base 7 to find the correct solution. Ultimately, it confirms that base 7 satisfies the equation, providing a step-by-step explanation of the calculations involved.

What is the base 10 equivalent of the binary number 100?

• 4

• 2

• 8

• 6

Tags

CCSS.8.EE.C.7B

After converting 100 from base 2 to base 10, what is the next step in solving the equation?

• Divide both sides by 4

• Subtract 79 from both sides

• Multiply both sides by 4

• Add 79 to both sides

Tags

CCSS.5.NBT.A.1

Why must the base of 631 be less than 10?

• Because 6 is larger than 3

• Because 3 is larger than 6

• Because 1 is larger than 6

• Because 6 is equal to 3

What is the base 10 equivalent of 631 in base 6?

• 235

• 316

• 294

• 321

What is the base 10 equivalent of 631 in base 7?

• 235

• 316

• 321

• 294

Tags

CCSS.6.EE.A.1

What is the final solution for the base of 631?

• 6

• 5

• 8

• 7

Tags

CCSS.6.EE.A.1